Details

Time bar (total: 11.8s)

analyze132.0ms (1.1%)

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

Compiled 12 to 9 computations (25% saved)

sample3.9s (33.4%)

Results
2.3s2521×body8192exit
1.4s7766×body256valid
154.0ms238×body1024valid
72.0ms251×body512valid
17.0ms136×body256infinite
1.0msbody2048valid
Bogosity

preprocess78.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 13 to 10 computations (23.1% saved)

simplify74.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 18 to 10 computations (44.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.3b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.3b
(-.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))
0.3b
(log.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 28 to 14 computations (50% saved)

series76.0ms (0.6%)

Counts
3 → 32
Calls

12 calls:

TimeVariablePointExpression
52.0ms
x
@inf
(log.f64 (+.f64 1 (exp.f64 x)))
20.0ms
x
@-inf
(log.f64 (+.f64 1 (exp.f64 x)))
2.0ms
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))

rewrite143.0ms (1.2%)

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)))))))

simplify196.0ms (1.7%)

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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(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))
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(-.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))
0.3b
(log1p.f64 (exp.f64 x))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series1.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite63.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
118730
2242830
Stop Event
node limit
Counts
2 → 55
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Outputs
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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)))))))

simplify113.0ms (1%)

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))

eval156.0ms (1.3%)

Compiler

Compiled 9663 to 3778 computations (60.9% saved)

prune65.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New4308438
Fresh000
Picked011
Done101
Total4319440
Error
0.2b
Counts
440 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
14.1b
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
0.8b
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
0.3b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
7.6b
(-.f64 (log.f64 2) (*.f64 x y))
15.4b
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
14.1b
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
34.1b
(*.f64 x (neg.f64 y))
28.6b
(log1p.f64 (exp.f64 x))
28.7b
(log.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 159 to 124 computations (22% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
0.0b
(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0b
(+.f64 1 (exp.f64 x))
0.9b
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
Compiler

Compiled 46 to 28 computations (39.1% saved)

series59.0ms (0.5%)

Counts
3 → 32
Calls

12 calls:

TimeVariablePointExpression
41.0ms
x
@-inf
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
12.0ms
x
@inf
(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))
1.0ms
x
@0
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
0.0ms
x
@0
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))

rewrite107.0ms (0.9%)

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))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
Outputs
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simplify207.0ms (1.8%)

Algorithm
egg-herbie
Rules
1376×fma-def
750×associate-+l+
748×associate-+r+
716×associate-*r*
676×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069318254
1188114534
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))))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.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 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 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)))
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(/.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 (-.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 (*.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 (+.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 (-.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 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 3) (pow.f64 (pow.f64 (*.f64 x y) 2) 3)) (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (pow.f64 (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 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (-.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)))
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)))))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 2) 2)) (*.f64 (-.f64 (/.f64 1/2 (pow.f64 (sqrt.f64 2) 2)) (/.f64 1/2 (pow.f64 (sqrt.f64 2) 4))) (*.f64 x x)))))
(fma.f64 1/2 (+.f64 (/.f64 x 2) (*.f64 x (*.f64 x 1/8))) (log.f64 (sqrt.f64 2)))
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(/.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 (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 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (+.f64 (pow.f64 (*.f64 x y) 4) (*.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)) 6) (pow.f64 (*.f64 x y) 6)) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4) (fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 4))))
(/.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 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (*.f64 x y) 6)) (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (*.f64 x y) 6)) (*.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 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 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (+.f64 (pow.f64 (*.f64 x y) 6) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (*.f64 x y) 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) 1) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(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 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 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 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 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 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(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))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(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))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(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))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(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))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(fabs.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 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))
(fma.f64 2 (*.f64 1/2 (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 (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))

localize4.0ms (0%)

Compiler

Compiled 10 to 4 computations (60% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 24 to 17 computations (29.2% saved)

series11.0ms (0.1%)

Counts
2 → 27
Calls

12 calls:

TimeVariablePointExpression
7.0ms
y
@0
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
1.0ms
x
@0
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
0.0ms
x
@inf
(*.f64 (-.f64 1/2 y) x)
0.0ms
y
@inf
(*.f64 (-.f64 1/2 y) x)
0.0ms
x
@0
(*.f64 (-.f64 1/2 y) x)

rewrite79.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
123832
2304632
Stop Event
node limit
Counts
2 → 121
Calls
Call 1
Inputs
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
Outputs
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simplify135.0ms (1.1%)

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

Useful iterations: 1 (0.0ms)

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (exp.f64 x))
0.3b
(log.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 15 to 9 computations (40% saved)

localize52.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))
0.0b
(*.f64 (-.f64 1/2 y) x)
0.0b
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
0.2b
(*.f64 1/8 (pow.f64 x 2))
Compiler

Compiled 47 to 36 computations (23.4% saved)

series3.0ms (0%)

Counts
3 → 21
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))
1.0ms
y
@0
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
0.0ms
x
@0
(*.f64 1/8 (pow.f64 x 2))
0.0ms
x
@inf
(*.f64 1/8 (pow.f64 x 2))
0.0ms
x
@inf
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)))

rewrite101.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1852×associate-*r/
1520×associate-*l/
338×add-sqr-sqrt
326×*-un-lft-identity
324×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01565
133465
2433965
Stop Event
node limit
Counts
3 → 146
Calls
Call 1
Inputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/64))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/8 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/8 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/8 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/8 (*.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)))) (-.f64 1 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (*.f64 x x)))) (-.f64 1 (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) (-.f64 1 (fma.f64 1/8 (*.f64 x x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2))))) 1)))) (#(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)) (fma.f64 1/8 (*.f64 x x) (log.f64 2)))) (/.f64 (pow.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)) 2) (-.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 1/8 (*.f64 x x) 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simplify147.0ms (1.3%)

Algorithm
egg-herbie
Rules
1784×associate-/l*
800×associate-/r*
782×associate-+l+
774×associate-+r+
768×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039810839
1103610009
2424910009
Stop Event
node limit
Counts
167 → 237
Calls
Call 1
Inputs
(+.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 (*.f64 y x)))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.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 1/8 (pow.f64 x 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2)))
(log.f64 2)
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (*.f64 x x)))) 1)
(pow.f64 (*.f64 1/8 (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/8)) 2)
(pow.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/64))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/8))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (*.f64 x x)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512))
(expm1.f64 (log1p.f64 (*.f64 1/8 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/8 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/8 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/8 (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)))) (-.f64 1 (*.f64 x (-.f64 1/2 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (*.f64 x x)))) (-.f64 1 (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) (-.f64 1 (fma.f64 1/8 (*.f64 x x) (log.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2))))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 1/8 (*.f64 x x) (log.f64 2)))) (/.f64 (pow.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)) 2) (-.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 1/8 (*.f64 x x) (log.f64 2)))))
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/64) (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2)))) (-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2)))) (*.f64 x (-.f64 1/2 y))))
(-.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) (exp.f64 (log1p.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))))) 1)
(-.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) (/.f64 (*.f64 (pow.f64 x 4) 1/64) (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2))))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2)))))
(-.f64 (+.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)) (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))) 1)
(-.f64 (+.f64 (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (*.f64 x x))) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(-.f64 (+.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)) (exp.f64 (log1p.f64 (*.f64 1/8 (*.f64 x x))))) 1)
(-.f64 (+.f64 (*.f64 (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (*.f64 x x))) 1) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(*.f64 (fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2))) 1)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2)))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2)))))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2)))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2)))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2)))))
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(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 4) 1/64)) (-.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x)))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 4) 1/64))) (-.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2)))) (neg.f64 (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (pow.f64 (log.f64 2) 3)))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x)))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2)))) (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (pow.f64 (log.f64 2) 3)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))) 2) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2)))) (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))) 2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (pow.f64 (log.f64 2) 3)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2)) 1) (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (pow.f64 (log.f64 2) 3)) 1) (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 4) 1/64)) 1) (-.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2))) 1) (neg.f64 (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (pow.f64 (log.f64 2) 3))) 1) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2))) (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)))) (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (pow.f64 (log.f64 2) 3))) (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))) 2)) (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (pow.f64 (log.f64 2) 3))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (pow.f64 x 4) 1/64)) (*.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 2) 2))) (/.f64 1 (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2))))) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 4) 1/64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/64) 3) (pow.f64 (pow.f64 (log.f64 2) 2) 3)) (/.f64 1 (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2))))) (+.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (pow.f64 x 4) 1/64)) (+.f64 (*.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 2) 2)) (*.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512)) (*.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3))) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x))))))) (-.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (pow.f64 (log.f64 2) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x))))))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512)) (-.f64 (*.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3)) (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (pow.f64 (log.f64 2) 3)))))
(pow.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 x) x) 1/8)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(fma.f64 (*.f64 x x) 1/8 (log.f64 2))
(fma.f64 1 (*.f64 1/8 (*.f64 x x)) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/8 (*.f64 x x)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/8 (*.f64 x x)))
(fma.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/8 (*.f64 x x)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/64)) (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (log.f64 2))
Outputs
(+.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)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x 1/2 (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))))
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))))
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))))
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))))
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))))
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))))
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))))
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))))
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))))
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (*.f64 x x)))
(*.f64 x (+.f64 (*.f64 1/8 x) (-.f64 1/2 y)))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 1/8 x)))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (*.f64 x x)))
(*.f64 x (+.f64 (*.f64 1/8 x) (-.f64 1/2 y)))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 1/8 x)))
(log.f64 2)
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (*.f64 x x)))) 1)
(*.f64 1/8 (*.f64 x x))
(pow.f64 (*.f64 1/8 (*.f64 x x)) 1)
(*.f64 1/8 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 1/8)) 2)
(pow.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) 3)
(*.f64 1/8 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3))
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/512))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/64))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/8))
(*.f64 1/8 (log.f64 (pow.f64 (exp.f64 x) x)))
(*.f64 1/8 (*.f64 x (log.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (*.f64 x x)))))
(*.f64 1/8 (*.f64 x x))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/512))
(expm1.f64 (log1p.f64 (*.f64 1/8 (*.f64 x x))))
(*.f64 1/8 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 1/8 (*.f64 x x))))
(*.f64 1/8 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 1/8 (*.f64 x x))) 1))
(*.f64 1/8 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 1/8 (*.f64 x x))))
(*.f64 1/8 (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (*.f64 x x)))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 2))) 1) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (*.f64 x x))))
(+.f64 (*.f64 x (+.f64 (*.f64 1/8 x) (-.f64 1/2 y))) (expm1.f64 (log1p.f64 (log.f64 2))))
(+.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 1/8 x))) (expm1.f64 (log1p.f64 (log.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)))) (-.f64 1 (*.f64 x (-.f64 1/2 y))))
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (*.f64 x x)))) (-.f64 1 (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) (-.f64 1 (fma.f64 1/8 (*.f64 x x) (log.f64 2))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1) (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(+.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)) (expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2))))) 1)
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 1/8 (*.f64 x x) (log.f64 2)))) (/.f64 (pow.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)) 2) (-.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 1/8 (*.f64 x x) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 1/8 (*.f64 x x) (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)) 2)) (fma.f64 x (-.f64 1/2 y) (-.f64 (*.f64 (*.f64 -1/8 x) x) (log.f64 2))))
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/64) (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2)))) (-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2)))) (*.f64 x (-.f64 1/2 y))))
(+.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2)) (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2)))) (*.f64 x (-.f64 1/2 y)))
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(/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/512 (pow.f64 (log.f64 2) 3)) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/8 (*.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 (*.f64 x x) -1/8)) (*.f64 (pow.f64 x 4) 1/64)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 (*.f64 -1/8 x) x)) (*.f64 (pow.f64 x 4) 1/64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 4) 1/64)) 1) (-.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2)) (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/64 (neg.f64 (pow.f64 (log.f64 2) 2))) (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2))) 1) (neg.f64 (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2)) (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/64 (neg.f64 (pow.f64 (log.f64 2) 2))) (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2))))
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (pow.f64 (log.f64 2) 3))) 1) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x)))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/512 (pow.f64 (log.f64 2) 3)) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/8 (*.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 (*.f64 x x) -1/8)) (*.f64 (pow.f64 x 4) 1/64)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 (*.f64 -1/8 x) x)) (*.f64 (pow.f64 x 4) 1/64)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2))) (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)))) (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2)))))
(/.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))) (/.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2)))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))) (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2))))) (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/64 (neg.f64 (pow.f64 (log.f64 2) 2)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))) (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2))))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (pow.f64 (log.f64 2) 3))) (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x)))))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/512 (pow.f64 (log.f64 2) 3))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/8 (*.f64 x x)))))) (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))) (sqrt.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 (*.f64 x x) -1/8)) (*.f64 (pow.f64 x 4) 1/64)))) (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (log.f64 2) 3))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))) (sqrt.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 (*.f64 -1/8 x) x)) (*.f64 (pow.f64 x 4) 1/64)))) (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (log.f64 2) 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))) 2)) (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))) 2) (/.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2)))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2))))) (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/64 (neg.f64 (pow.f64 (log.f64 2) 2)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2))) (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2))))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))) 2))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (pow.f64 (log.f64 2) 3))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x)))))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/512 (pow.f64 (log.f64 2) 3))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/8 (*.f64 x x)))))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))) 2)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (log.f64 2) 3))) (cbrt.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 (*.f64 x x) -1/8)) (*.f64 (pow.f64 x 4) 1/64)))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))) 2) (cbrt.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 (*.f64 -1/8 x) x)) (*.f64 (pow.f64 x 4) 1/64)))) (cbrt.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (log.f64 2) 3))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (pow.f64 x 4) 1/64)) (*.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 2) 2))) (/.f64 1 (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2))))) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 4) 1/64)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 4) (pow.f64 x 4)) 1/4096) (pow.f64 (log.f64 2) 4)) (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/4096) (pow.f64 (log.f64 2) 4)) (*.f64 (fma.f64 (pow.f64 x 4) 1/64 (pow.f64 (log.f64 2) 2)) (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/64) 3) (pow.f64 (pow.f64 (log.f64 2) 2) 3)) (/.f64 1 (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2))))) (+.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (pow.f64 x 4) 1/64)) (+.f64 (*.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 2) 2)) (*.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/262144) (pow.f64 (pow.f64 (log.f64 2) 2) 3)) (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x 4) (pow.f64 x 4)) 1/4096) (*.f64 (pow.f64 (log.f64 2) 2) (+.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (log.f64 2) 2)))) (/.f64 1 (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/262144) (pow.f64 (log.f64 2) 6)) (*.f64 (fma.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (pow.f64 x 4) 1/64 (pow.f64 (log.f64 2) 2)) (*.f64 (pow.f64 x 8) 1/4096)) (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2)))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x x) 6) 1/262144) (pow.f64 (log.f64 2) 6)) (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 2)))) (fma.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (pow.f64 x 4) 1/64 (pow.f64 (log.f64 2) 2)) (*.f64 (pow.f64 x 8) 1/4096)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512)) (*.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3))) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x))))))) (-.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (pow.f64 (log.f64 2) 3)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) 1/262144) (pow.f64 (log.f64 2) 6)) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/8 (*.f64 x x))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/262144) (pow.f64 (log.f64 2) 6)) (*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/512) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 (*.f64 x x) -1/8)) (*.f64 (pow.f64 x 4) 1/64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x x) 6) 1/262144) (pow.f64 (log.f64 2) 6)) (*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/512) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 (*.f64 -1/8 x) x)) (*.f64 (pow.f64 x 4) 1/64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x))))))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512)) (-.f64 (*.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3)) (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (pow.f64 (log.f64 2) 3)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) 1/262144) (*.f64 (pow.f64 (log.f64 2) 3) (-.f64 (pow.f64 (log.f64 2) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512)))) (/.f64 1 (fma.f64 (pow.f64 x 4) 1/64 (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/8 (*.f64 x x))))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/134217728 (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (*.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/262144 (pow.f64 (log.f64 2) 6)) (*.f64 (pow.f64 (log.f64 2) 3) (*.f64 (pow.f64 x 6) -1/512))) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 (*.f64 x x) -1/8)) (*.f64 (pow.f64 x 4) 1/64))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/134217728 (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (*.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 6) 1/262144 (pow.f64 (log.f64 2) 6)) (*.f64 (pow.f64 (log.f64 2) 3) (*.f64 (pow.f64 x 6) -1/512))) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 (*.f64 -1/8 x) x)) (*.f64 (pow.f64 x 4) 1/64))))
(pow.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)) 1)
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))) 2)
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))) 3)
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)) 3) 1/3)
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)) 2))
(fabs.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(log.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 x) x) 1/8)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)))))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2)) 3))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))) 1))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 1/8 (*.f64 x x) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(fma.f64 (*.f64 x x) 1/8 (log.f64 2))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(fma.f64 1 (*.f64 1/8 (*.f64 x x)) (log.f64 2))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/8 (*.f64 x x)))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/8 (*.f64 x x)))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(fma.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)) (log.f64 2))
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/8)) 2) (log.f64 2))
(+.f64 (log.f64 2) (pow.f64 (*.f64 x (sqrt.f64 1/8)) 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/8 (*.f64 x x)))
(fma.f64 1/8 (*.f64 x x) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/64)) (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (log.f64 2))

eval606.0ms (5.1%)

Compiler

Compiled 30993 to 18951 computations (38.9% saved)

prune316.0ms (2.7%)

Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New1186101196
Fresh123
Picked101
Done145
Total1189161205
Error
0.2b
Counts
1205 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
7.6b
(-.f64 (log.f64 2) (*.f64 x y))
14.2b
(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
14.1b
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
29.3b
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
29.6b
(+.f64 (*.f64 1/2 x) (log.f64 2))
22.9b
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
46.6b
(*.f64 (-.f64 1/2 y) x)
48.6b
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 1/8 x)))
34.1b
(*.f64 x (neg.f64 y))
29.2b
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
61.8b
(*.f64 1/8 (*.f64 x x))
28.6b
(log1p.f64 (exp.f64 x))
30.2b
(log.f64 (+.f64 2 x))
28.7b
(log.f64 (+.f64 1 (exp.f64 x)))
29.8b
(log.f64 2)
Compiler

Compiled 240 to 194 computations (19.2% 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)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite70.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify67.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

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

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 1/8 (*.f64 x x))
Compiler

Compiled 12 to 6 computations (50% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 1/8 (*.f64 x x))
0.0ms
x
@inf
(*.f64 1/8 (*.f64 x x))
0.0ms
x
@-inf
(*.f64 1/8 (*.f64 x x))

rewrite53.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1078×add-sqr-sqrt
1058×*-un-lft-identity
1006×pow1
988×add-cube-cbrt
980×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112213
2140913
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 1/8 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/8 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/8 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/8) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/8 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/8 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/8 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/8 (*.f64 x x))))))))

simplify52.0ms (0.4%)

Algorithm
egg-herbie
Rules
986×distribute-lft-out
728×*-commutative
680×distribute-lft-in
674×distribute-rgt-in
634×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041299
1102299
2337299
31305299
44920299
Stop Event
node limit
Counts
23 → 13
Calls
Call 1
Inputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 1/8 (*.f64 x x))) 1)
(pow.f64 (*.f64 1/8 (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/8)) 2)
(pow.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) 3)
(pow.f64 (pow.f64 (*.f64 1/8 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 1/64 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/8) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 1/8 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/8 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/8 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 1/8 (*.f64 x x))))
Outputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 1/8 (*.f64 x x))) 1)
(*.f64 1/8 (*.f64 x x))
(pow.f64 (*.f64 1/8 (*.f64 x x)) 1)
(*.f64 1/8 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 1/8)) 2)
(*.f64 1/8 (*.f64 x x))
(pow.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) 3)
(*.f64 1/8 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 1/8 (*.f64 x x)) 3) 1/3)
(*.f64 1/8 (*.f64 x x))
(sqrt.f64 (*.f64 1/64 (pow.f64 x 4)))
(*.f64 1/8 (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 1/8) (*.f64 x x)))
(*.f64 1/8 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 1/8 (*.f64 x x)) 3))
(*.f64 1/8 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 1/8 (*.f64 x x))))
(*.f64 1/8 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 1/8 (*.f64 x x))))
(*.f64 1/8 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 1/8 (*.f64 x x))))
(*.f64 1/8 (*.f64 x x))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 1/8 x)))
Compiler

Compiled 28 to 19 computations (32.1% saved)

series6.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 1/8 x)))
0.0ms
x
@0
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 1/8 x)))
0.0ms
y
@0
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 1/8 x)))
0.0ms
x
@inf
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 1/8 x)))
0.0ms
y
@-inf
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 1/8 x)))

rewrite80.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1190×associate-*r/
1112×*-commutative
1022×associate-*l/
884×distribute-lft-in
386×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01025
122921
2312421
Stop Event
node limit
Counts
1 → 60
Calls
Call 1
Inputs
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 1/8 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (+.f64 (*.f64 x (neg.f64 y)) (*.f64 x (*.f64 x 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x (+.f64 (*.f64 x 1/8) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 (+.f64 y (*.f64 x -1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x 1/2)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 1/2 (*.f64 x 1/8))) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (fma.f64 x 1/8 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64)) (/.f64 (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512)) (/.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64))) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512))) (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (*.f64 x (*.f64 x 1/8)) 3)) (+.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (-.f64 (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (-.f64 1/2 y) 2))) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/4 (*.f64 (+.f64 y (*.f64 x -1/8)) (+.f64 y (*.f64 x -1/8))))) (+.f64 1/2 (+.f64 y (*.f64 x -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/8 (pow.f64 (+.f64 y (*.f64 x -1/8)) 3))) (+.f64 1/4 (+.f64 (*.f64 (+.f64 y (*.f64 x -1/8)) (+.f64 y (*.f64 x -1/8))) (*.f64 1/2 (+.f64 y (*.f64 x -1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64)))) (neg.f64 (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512)))) (neg.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 x (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64)))) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 x (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512)))) (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8))))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (*.f64 x (*.f64 x 1/8)) 3))) (+.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) 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1/8)))))))

simplify84.0ms (0.7%)

Algorithm
egg-herbie
Rules
1588×associate-/l*
1296×distribute-lft-in
1224×distribute-rgt-in
1014×*-commutative
1012×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02134114
16123744
225343744
Stop Event
node limit
Counts
84 → 110
Calls
Call 1
Inputs
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 (-.f64 1/2 y) x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 (-.f64 1/2 y) x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 (-.f64 1/2 y) x))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 (+.f64 1/2 (*.f64 1/8 x)) x)
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/8 x)) x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/8 x)) x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/8 x)) x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/8 x)) x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/8 x)) x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/8 x)) x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 (+.f64 (*.f64 1/8 x) 1/2) x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 (+.f64 (*.f64 1/8 x) 1/2) x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 (+.f64 (*.f64 1/8 x) 1/2) x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8)))
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 x (neg.f64 y)) (*.f64 x (*.f64 x 1/8))))
(+.f64 (*.f64 x 1/2) (*.f64 x (+.f64 (*.f64 x 1/8) (neg.f64 y))))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 (+.f64 y (*.f64 x -1/8)))))
(+.f64 (+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x 1/2)) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 x (+.f64 1/2 (*.f64 x 1/8))) (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))) 1)
(/.f64 x (/.f64 1 (fma.f64 x 1/8 (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64)) (/.f64 (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)) x))
(/.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512)) (/.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))) x))
(/.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64))) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512))) (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (*.f64 x (*.f64 x 1/8)) 3)) (+.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (-.f64 (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (-.f64 1/2 y) 2))) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 (+.f64 y (*.f64 x -1/8)) (+.f64 y (*.f64 x -1/8))))) (+.f64 1/2 (+.f64 y (*.f64 x -1/8))))
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 (+.f64 y (*.f64 x -1/8)) 3))) (+.f64 1/4 (+.f64 (*.f64 (+.f64 y (*.f64 x -1/8)) (+.f64 y (*.f64 x -1/8))) (*.f64 1/2 (+.f64 y (*.f64 x -1/8))))))
(/.f64 (*.f64 x (neg.f64 (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64)))) (neg.f64 (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))))
(/.f64 (*.f64 x (neg.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512)))) (neg.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y))))))
(/.f64 (*.f64 1 (*.f64 x (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64)))) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)))
(/.f64 (*.f64 1 (*.f64 x (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512)))) (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8))))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (*.f64 x (*.f64 x 1/8)) 3))) (+.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (-.f64 (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (fma.f64 x 1/8 (-.f64 1/2 y)))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64)))) (sqrt.f64 (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (fma.f64 x 1/8 (-.f64 1/2 y)))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512)))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y))))))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 1/8 (-.f64 1/2 y))) 2)) (cbrt.f64 (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64)))) (cbrt.f64 (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 1/8 (-.f64 1/2 y))) 2)) (cbrt.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) 1/64) (pow.f64 (-.f64 1/2 y) 2)) x) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (+.f64 y (*.f64 x -1/8)) (+.f64 y (*.f64 x -1/8)))) x) (+.f64 1/2 (+.f64 y (*.f64 x -1/8))))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 (+.f64 y (*.f64 x -1/8)) 3)) x) (+.f64 1/4 (+.f64 (*.f64 (+.f64 y (*.f64 x -1/8)) (+.f64 y (*.f64 x -1/8))) (*.f64 1/2 (+.f64 y (*.f64 x -1/8))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64))) x) (neg.f64 (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512))) x) (neg.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y))))))
(/.f64 (*.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64))) 1) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)))
(/.f64 (*.f64 (*.f64 x (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512))) 1) (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) 1) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (*.f64 x (*.f64 x 1/8)) 3)) 1) (+.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (-.f64 (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64))) (*.f64 x (sqrt.f64 (fma.f64 x 1/8 (-.f64 1/2 y))))) (sqrt.f64 (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512))) (*.f64 x (sqrt.f64 (fma.f64 x 1/8 (-.f64 1/2 y))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y))))))
(/.f64 (/.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64))) 1) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)))
(/.f64 (/.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64))) (sqrt.f64 (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)))) (sqrt.f64 (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))))
(/.f64 (/.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64))) (*.f64 (cbrt.f64 (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))) (cbrt.f64 (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))))) (cbrt.f64 (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))))
(/.f64 (/.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64))) (+.f64 (sqrt.f64 (*.f64 x 1/8)) (sqrt.f64 (-.f64 1/2 y)))) (-.f64 (sqrt.f64 (-.f64 1/2 y)) (sqrt.f64 (*.f64 x 1/8))))
(/.f64 (/.f64 (*.f64 x (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512))) 1) (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(/.f64 (/.f64 (*.f64 x (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y))))))
(/.f64 (/.f64 (*.f64 x (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y))))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y))))))
(pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/8 (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/8 (-.f64 1/2 y)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))))
(fma.f64 x (-.f64 1/2 y) (*.f64 x (*.f64 x 1/8)))
(fma.f64 (-.f64 1/2 y) x (*.f64 x (*.f64 x 1/8)))
Outputs
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 (-.f64 1/2 y) x))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 (-.f64 1/2 y) x))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 (-.f64 1/2 y) x))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/8))
(*.f64 1/8 (*.f64 x x))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/8))
(*.f64 1/8 (*.f64 x x))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(*.f64 (+.f64 1/2 (*.f64 1/8 x)) x)
(*.f64 x (fma.f64 1/8 x 1/2))
(*.f64 x (fma.f64 x 1/8 1/2))
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/8 x)) x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/8 x)) x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/8 x)) x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/8 x)) x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/8 x)) x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/8 x)) x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 (+.f64 (*.f64 1/8 x) 1/2) x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(+.f64 (*.f64 (+.f64 (*.f64 1/8 x) 1/2) x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(+.f64 (*.f64 (+.f64 (*.f64 1/8 x) 1/2) x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 x (neg.f64 y)) (*.f64 x (*.f64 x 1/8))))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(+.f64 (*.f64 x 1/2) (*.f64 x (+.f64 (*.f64 x 1/8) (neg.f64 y))))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 (+.f64 y (*.f64 x -1/8)))))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(+.f64 (+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x 1/2)) (*.f64 x (neg.f64 y)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(+.f64 (*.f64 x (+.f64 1/2 (*.f64 x 1/8))) (*.f64 x (neg.f64 y)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))) 1)
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(/.f64 x (/.f64 1 (fma.f64 x 1/8 (-.f64 1/2 y))))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(/.f64 (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64)) (/.f64 (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)) x))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x (*.f64 x 1/64))) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))) x)
(*.f64 x (/.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) -1/64)) (fma.f64 x -1/8 (-.f64 1/2 y))))
(/.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512)) (/.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))) x))
(*.f64 (/.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512)) (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y)))) x)
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3)) (fma.f64 (*.f64 x 1/8) (+.f64 y (fma.f64 x 1/8 -1/2)) (pow.f64 (-.f64 1/2 y) 2))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64))) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x (*.f64 x 1/64))) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))) x)
(*.f64 x (/.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) -1/64)) (fma.f64 x -1/8 (-.f64 1/2 y))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512))) (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512)) (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y)))) x)
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3)) (fma.f64 (*.f64 x 1/8) (+.f64 y (fma.f64 x 1/8 -1/2)) (pow.f64 (-.f64 1/2 y) 2))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(/.f64 (*.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) (*.f64 x (-.f64 (-.f64 1/2 y) (*.f64 x 1/8)))) (*.f64 x (-.f64 (-.f64 1/2 y) (*.f64 x 1/8))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) -1/64))) (*.f64 x (fma.f64 x -1/8 (-.f64 1/2 y))))
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(/.f64 (pow.f64 x 3) (/.f64 (fma.f64 x (*.f64 x (pow.f64 (-.f64 1/2 y) 2)) (*.f64 (+.f64 y (fma.f64 x 1/8 -1/2)) (*.f64 1/8 (pow.f64 x 3)))) (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64))) (*.f64 x (sqrt.f64 (fma.f64 x 1/8 (-.f64 1/2 y))))) (sqrt.f64 (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))))
(/.f64 (*.f64 x (sqrt.f64 (fma.f64 x 1/8 (-.f64 1/2 y)))) (/.f64 (sqrt.f64 (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x (*.f64 x 1/64))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) -1/64))) (sqrt.f64 (fma.f64 x -1/8 (-.f64 1/2 y)))) (*.f64 x (sqrt.f64 (-.f64 1/2 (fma.f64 x -1/8 y)))))
(*.f64 (*.f64 x (sqrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) -1/64))) (sqrt.f64 (fma.f64 x -1/8 (-.f64 1/2 y)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512))) (*.f64 x (sqrt.f64 (fma.f64 x 1/8 (-.f64 1/2 y))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y))))))
(/.f64 (*.f64 x (sqrt.f64 (fma.f64 x 1/8 (-.f64 1/2 y)))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y)))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512)))))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 (fma.f64 x -1/8 y)))) (sqrt.f64 (fma.f64 (*.f64 x 1/8) (+.f64 y (fma.f64 x 1/8 -1/2)) (pow.f64 (-.f64 1/2 y) 2)))) (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3))) (/.f64 x (/.f64 (sqrt.f64 (fma.f64 (*.f64 x 1/8) (+.f64 y (fma.f64 x 1/8 -1/2)) (pow.f64 (-.f64 1/2 y) 2))) (sqrt.f64 (-.f64 (fma.f64 x 1/8 1/2) y)))))
(/.f64 (/.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64))) 1) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x (*.f64 x 1/64))) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))) x)
(*.f64 x (/.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) -1/64)) (fma.f64 x -1/8 (-.f64 1/2 y))))
(/.f64 (/.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64))) (sqrt.f64 (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)))) (sqrt.f64 (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x (*.f64 x 1/64))) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))) x)
(*.f64 x (/.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) -1/64)) (fma.f64 x -1/8 (-.f64 1/2 y))))
(/.f64 (/.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64))) (*.f64 (cbrt.f64 (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))) (cbrt.f64 (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))))) (cbrt.f64 (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x (*.f64 x 1/64))) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))) x)
(*.f64 x (/.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) -1/64)) (fma.f64 x -1/8 (-.f64 1/2 y))))
(/.f64 (/.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) 1/64))) (+.f64 (sqrt.f64 (*.f64 x 1/8)) (sqrt.f64 (-.f64 1/2 y)))) (-.f64 (sqrt.f64 (-.f64 1/2 y)) (sqrt.f64 (*.f64 x 1/8))))
(/.f64 (/.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x (*.f64 x 1/64)))) (+.f64 (sqrt.f64 (*.f64 x 1/8)) (sqrt.f64 (-.f64 1/2 y)))) (-.f64 (sqrt.f64 (-.f64 1/2 y)) (sqrt.f64 (*.f64 x 1/8))))
(*.f64 (/.f64 x (-.f64 (sqrt.f64 (-.f64 1/2 y)) (sqrt.f64 (*.f64 x 1/8)))) (/.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) -1/64)) (+.f64 (sqrt.f64 (*.f64 x 1/8)) (sqrt.f64 (-.f64 1/2 y)))))
(*.f64 (/.f64 x (+.f64 (sqrt.f64 (*.f64 x 1/8)) (sqrt.f64 (-.f64 1/2 y)))) (/.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) -1/64)) (-.f64 (sqrt.f64 (-.f64 1/2 y)) (sqrt.f64 (*.f64 x 1/8)))))
(/.f64 (/.f64 (*.f64 x (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512))) 1) (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512)) (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y)))) x)
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3)) (fma.f64 (*.f64 x 1/8) (+.f64 y (fma.f64 x 1/8 -1/2)) (pow.f64 (-.f64 1/2 y) 2))))
(/.f64 (/.f64 (*.f64 x (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512)) (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y)))) x)
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3)) (fma.f64 (*.f64 x 1/8) (+.f64 y (fma.f64 x 1/8 -1/2)) (pow.f64 (-.f64 1/2 y) 2))))
(/.f64 (/.f64 (*.f64 x (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y))))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (-.f64 (*.f64 x 1/8) (-.f64 1/2 y))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 3) (*.f64 (pow.f64 x 3) 1/512)) (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x 1/8) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y)))) x)
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/512 (pow.f64 (-.f64 1/2 y) 3)) (fma.f64 (*.f64 x 1/8) (+.f64 y (fma.f64 x 1/8 -1/2)) (pow.f64 (-.f64 1/2 y) 2))))
(pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 1)
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))) 2)
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))) 3)
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 3) 1/3)
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 2))
(fabs.f64 (*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y))))
(fabs.f64 (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/8 (-.f64 1/2 y))))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))) 3))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/8 (-.f64 1/2 y)) 3) (pow.f64 x 3)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(fma.f64 x (-.f64 1/2 y) (*.f64 x (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))
(fma.f64 (-.f64 1/2 y) x (*.f64 x (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 (fma.f64 x -1/8 y)))
(*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))

localize5.0ms (0%)

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)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite72.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1466×add-sqr-sqrt
1444×*-un-lft-identity
1352×add-cube-cbrt
1340×add-cbrt-cube
1328×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114511
2176511
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(log.f64 (+.f64 2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (log.f64 (cbrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) (log.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 8 (pow.f64 x 3))) (log.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 4 (*.f64 x x))) (log.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 2 x) 1))))))

simplify50.0ms (0.4%)

Algorithm
egg-herbie
Rules
1206×distribute-lft-in
1018×distribute-rgt-in
882×associate-+l+
840×associate-+r+
728×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
099695
1234609
2788609
33172609
Stop Event
node limit
Counts
33 → 61
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))))
(+.f64 0 (log.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 (sqrt.f64 (+.f64 2 x))) (log.f64 (sqrt.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 4 (*.f64 x x))) (log.f64 (-.f64 2 x)))
(-.f64 (+.f64 1 (log.f64 (+.f64 2 x))) 1)
(*.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))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 x))) 1))
(log1p.f64 (-.f64 (+.f64 2 x) 1))
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)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (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))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/24 (pow.f64 x 3) (log.f64 2))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 -1/8 (*.f64 x 1/24))))))
(*.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 (log.f64 x) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 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 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 8/3 (pow.f64 x 3))) (/.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 (log.f64 x) (+.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) (/.f64 8/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 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))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.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 (log.f64 -1) (*.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 (log.f64 x) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 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 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 8/3 (pow.f64 x 3))) (/.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 (log.f64 x) (+.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) (/.f64 8/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 x) (+.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))))
(+.f64 0 (log.f64 (+.f64 2 x)))
(log.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 (sqrt.f64 (+.f64 2 x))) (log.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 2 (log.f64 (sqrt.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 (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 (+.f64 1 (log.f64 (+.f64 2 x))) 1)
(log.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))
(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))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 x))) 1))
(log.f64 (+.f64 2 x))
(log1p.f64 (-.f64 (+.f64 2 x) 1))
(log1p.f64 (+.f64 2 (-.f64 x 1)))
(log1p.f64 (+.f64 x 1))

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite100.0ms (0.8%)

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

simplify150.0ms (1.3%)

Algorithm
egg-herbie
Rules
912×+-commutative
886×associate-+r+
810×associate-+l+
702×associate-*r*
662×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05227333
115796903
264646903
Stop Event
node limit
Counts
235 → 274
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)))
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)))))))
(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))))
(+.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 (*.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))))
(-.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))
Outputs
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
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(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(/.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 1 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(fabs.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (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 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))

eval245.0ms (2.1%)

Compiler

Compiled 10208 to 7698 computations (24.6% saved)

prune118.0ms (1%)

Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New4999508
Fresh167
Picked101
Done268
Total50321524
Error
0.2b
Counts
524 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
53.7b
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
58.4b
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (*.f64 x -1/8))) (-.f64 1/4 (*.f64 (+.f64 y (*.f64 x -1/8)) (+.f64 y (*.f64 x -1/8))))))
62.1b
(-.f64 (+.f64 1 (*.f64 1/8 (*.f64 x x))) 1)
0.3b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
7.6b
(-.f64 (log.f64 2) (*.f64 x y))
7.7b
(+.f64 (/.f64 x (/.f64 -1 y)) (log.f64 2))
29.6b
(+.f64 (/.f64 x 2) (log.f64 2))
14.1b
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
48.6b
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8)))
48.6b
(+.f64 (*.f64 x (+.f64 1/2 (*.f64 x 1/8))) (*.f64 x (neg.f64 y)))
29.3b
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
22.9b
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
46.6b
(*.f64 (-.f64 1/2 y) x)
61.9b
(*.f64 (+.f64 1/2 (*.f64 1/8 x)) x)
34.1b
(*.f64 x (neg.f64 y))
29.2b
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
61.8b
(*.f64 1/8 (*.f64 x x))
30.2b
(log1p.f64 (+.f64 x 1))
28.6b
(log1p.f64 (exp.f64 x))
28.7b
(log.f64 (+.f64 1 (exp.f64 x)))
29.8b
(log.f64 2)
Compiler

Compiled 417 to 319 computations (23.5% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 24 to 17 computations (29.2% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite87.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1352×associate-*r/
1132×associate-/r*
1050×*-commutative
1024×associate-*l/
822×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01136
123628
2308028
Stop Event
node limit
Counts
2 → 155
Calls
Call 1
Inputs
(/.f64 x (/.f64 -1 y))
(+.f64 (/.f64 x (/.f64 -1 y)) (log.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (neg.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 x 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (*.f64 (pow.f64 (cbrt.f64 y) 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (/.f64 -1 (cbrt.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) 2) (cbrt.f64 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (neg.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 y) (neg.f64 x)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (neg.f64 x)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (neg.f64 y)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (neg.f64 y)) (/.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (neg.f64 y)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (neg.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1 (sqrt.f64 (neg.f64 y))) (/.f64 x (sqrt.f64 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (/.f64 -1 (cbrt.f64 y)) 2)) (*.f64 (neg.f64 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (/.f64 -1 y))) (*.f64 1 (sqrt.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x 1) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 x) (cbrt.f64 y)) (/.f64 1 (pow.f64 (/.f64 -1 (cbrt.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) -1) (*.f64 (/.f64 (sqrt.f64 x) 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 x) 1) y) (/.f64 (sqrt.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (*.f64 (sqrt.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 (cbrt.f64 y)) 2)) (/.f64 (sqrt.f64 x) (/.f64 -1 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (/.f64 -1 (cbrt.f64 y))) (/.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 (cbrt.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -1) (*.f64 (/.f64 (cbrt.f64 x) 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cbrt.f64 x) 1) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (cbrt.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 -1 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 -1 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (/.f64 -1 (cbrt.f64 y)) 2)) (cbrt.f64 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1) -1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1) -1) (neg.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1) 1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 (/.f64 -1 y))) 1) (sqrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 (/.f64 -1 y))) (sqrt.f64 -1)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 y)) 2)) -1) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 y)) 2)) 1) (cbrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (neg.f64 x)) -1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (neg.f64 x)) -1) (neg.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (neg.f64 x)) 1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 -1 y)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 -1 (sqrt.f64 y))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 -1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -1 (*.f64 (pow.f64 (cbrt.f64 x) 2) y))) (cbrt.f64 x))))) 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#<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) y (log.f64 2))))))

simplify99.0ms (0.8%)

Algorithm
egg-herbie
Rules
734×distribute-lft-neg-out
720×distribute-rgt-neg-out
682×distribute-lft-neg-in
576×distribute-rgt-neg-in
498×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03696951
110496521
245786485
Stop Event
node limit
Counts
203 → 225
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(log.f64 2)
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(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(log.f64 2)
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(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (pow.f64 (log.f64 2) 2))) (fma.f64 x (neg.f64 y) (log.f64 2)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3))) (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (fma.f64 x (neg.f64 y) (log.f64 2)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3)) (-.f64 (/.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (/.f64 -1 (*.f64 x y))) (*.f64 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y)))) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))) (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) 3) (pow.f64 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y)))) 3))) (-.f64 (+.f64 (/.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (/.f64 -1 (*.f64 x y))) (*.f64 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y)))) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y)))))) (*.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y)))))))
(/.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) (/.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2)) (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2))))
(/.f64 1 (/.f64 1 (fma.f64 x (neg.f64 y) (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))) (/.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))) (fma.f64 x (neg.f64 y) (log.f64 2))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (pow.f64 (log.f64 2) 2))) (/.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2)) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (pow.f64 (log.f64 2) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3))) (/.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (pow.f64 (log.f64 2) 2))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (pow.f64 (log.f64 2) 2)))) (/.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (pow.f64 (log.f64 2) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3)))) (/.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (*.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3))) (*.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))) (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (neg.f64 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (/.f64 -1 (*.f64 x y))) (*.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 2) 2))) (*.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2)) (+.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (neg.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))) (+.f64 (*.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (-.f64 (*.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3)) (*.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) 3) (pow.f64 (pow.f64 (log.f64 2) 2) 3)) (*.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2)) (+.f64 (/.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (/.f64 -1 (*.f64 x y))) (+.f64 (*.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 2) 2)) (*.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (neg.f64 y)) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y)))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (neg.f64 y)) 2))) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (pow.f64 (log.f64 2) 2)))) (neg.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (pow.f64 (log.f64 2) 2)))) (sqrt.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (pow.f64 (log.f64 2) 2)))) (cbrt.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) 2) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (neg.f64 y)) 2)) 1) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (pow.f64 (log.f64 2) 2))) 1) (neg.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3))) 1) (neg.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (pow.f64 (log.f64 2) 2))) (sqrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2)))) (sqrt.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3))) (sqrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (pow.f64 (log.f64 2) 2))) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) 2)) (cbrt.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3))) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y)))))))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (/.f64 -1 (*.f64 x y))) (*.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 2) 2))) (/.f64 1 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (neg.f64 y)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) 3) (pow.f64 (pow.f64 (log.f64 2) 2) 3)) (/.f64 1 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2)))) (+.f64 (/.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (/.f64 -1 (*.f64 x y))) (+.f64 (*.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 2) 2)) (*.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (neg.f64 y)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (*.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))) (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))) (+.f64 (*.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (-.f64 (*.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3)) (*.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (pow.f64 (log.f64 2) 2)) 1) (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (pow.f64 (log.f64 2) 2)) (sqrt.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2)))) (sqrt.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2))) (cbrt.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2))))) (cbrt.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (pow.f64 (log.f64 2) 2)) (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x (neg.f64 y))))) (-.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (log.f64 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3)) 1) (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y)))))))
(pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (neg.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (neg.f64 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (neg.f64 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (neg.f64 y) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x (neg.f64 y) (log.f64 2))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 1 (*.f64 x (neg.f64 y)) (log.f64 2))
(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 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) 2) (cbrt.f64 (*.f64 x (neg.f64 y))) (log.f64 2))
(fma.f64 (neg.f64 x) y (log.f64 2))
Outputs
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
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(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y (neg.f64 x)) 6) (pow.f64 (log.f64 2) 6)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 y x)) (pow.f64 (*.f64 y (neg.f64 x)) 2))) (-.f64 (neg.f64 (pow.f64 (*.f64 y x) 3)) (pow.f64 (log.f64 2) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))) (+.f64 (*.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (-.f64 (*.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3)) (*.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 y (neg.f64 x)) 3) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 y (neg.f64 x)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 y (neg.f64 x))))) (+.f64 (pow.f64 (*.f64 y (neg.f64 x)) 6) (*.f64 (pow.f64 (log.f64 2) 3) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y (neg.f64 x)) 3))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 y (neg.f64 x)) 3) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (*.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 y x)) (pow.f64 (*.f64 y (neg.f64 x)) 2)) (fma.f64 (pow.f64 (log.f64 2) 3) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (pow.f64 (*.f64 y (neg.f64 x)) 6))))
(/.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 (pow.f64 (*.f64 y x) 3)) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 y x)) (pow.f64 (*.f64 y (neg.f64 x)) 2))) (fma.f64 (pow.f64 (log.f64 2) 3) (-.f64 (pow.f64 (log.f64 2) 3) (neg.f64 (pow.f64 (*.f64 y x) 3))) (pow.f64 (*.f64 y (neg.f64 x)) 6)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (pow.f64 (log.f64 2) 2)) 1) (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (pow.f64 (log.f64 2) 2)) (sqrt.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2)))) (sqrt.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2))) (cbrt.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2))))) (cbrt.f64 (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (pow.f64 (log.f64 2) 2)) (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x (neg.f64 y))))) (-.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (neg.f64 x)) 2) (pow.f64 (log.f64 2) 2)) (*.f64 (-.f64 (sqrt.f64 (*.f64 y (neg.f64 x))) (sqrt.f64 (log.f64 2))) (+.f64 (sqrt.f64 (*.f64 y (neg.f64 x))) (sqrt.f64 (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (neg.f64 x)) 2) (pow.f64 (log.f64 2) 2)) (*.f64 (+.f64 (sqrt.f64 (*.f64 y (neg.f64 x))) (sqrt.f64 (log.f64 2))) (-.f64 (sqrt.f64 (*.f64 y (neg.f64 x))) (sqrt.f64 (log.f64 2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3)) 1) (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 y (neg.f64 x)) 3) (pow.f64 (log.f64 2) 3))) (+.f64 (pow.f64 (*.f64 y (neg.f64 x)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 y (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (neg.f64 x)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 y x)) (pow.f64 (*.f64 y (neg.f64 x)) 2)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 y x) 3)) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 y x)) (pow.f64 (*.f64 y (neg.f64 x)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y)))))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 y (neg.f64 x)) 3) (pow.f64 (log.f64 2) 3))) (+.f64 (pow.f64 (*.f64 y (neg.f64 x)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 y (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (neg.f64 x)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 y x)) (pow.f64 (*.f64 y (neg.f64 x)) 2)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 y x) 3)) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 y x)) (pow.f64 (*.f64 y (neg.f64 x)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) (pow.f64 (log.f64 2) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y)))))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 y (neg.f64 x)) 3) (pow.f64 (log.f64 2) 3))) (+.f64 (pow.f64 (*.f64 y (neg.f64 x)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 y (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (neg.f64 x)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 y x)) (pow.f64 (*.f64 y (neg.f64 x)) 2)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 y x) 3)) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 y x)) (pow.f64 (*.f64 y (neg.f64 x)) 2)))
(pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 1)
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(pow.f64 (sqrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) 2)
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) 3)
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 3) 1/3)
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(sqrt.f64 (pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 2))
(fabs.f64 (-.f64 (log.f64 2) (*.f64 y x)))
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (neg.f64 y)))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (neg.f64 y) (log.f64 2)))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 3))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(expm1.f64 (log1p.f64 (fma.f64 x (neg.f64 y) (log.f64 2))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(exp.f64 (log.f64 (fma.f64 x (neg.f64 y) (log.f64 2))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(log1p.f64 (expm1.f64 (fma.f64 x (neg.f64 y) (log.f64 2))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 1 (*.f64 x (neg.f64 y)) (log.f64 2))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 1 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (log.f64 2))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.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)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) 2) (cbrt.f64 (*.f64 x (neg.f64 y))) (log.f64 2))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 (neg.f64 x) y (log.f64 2))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8)))
0.0b
(*.f64 x (-.f64 1/2 y))
Compiler

Compiled 33 to 21 computations (36.4% saved)

series1.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
y
@0
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8)))
0.0ms
x
@inf
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8)))
0.0ms
y
@inf
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8)))
0.0ms
x
@-inf
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8)))
0.0ms
x
@0
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8)))

rewrite87.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1112×associate-*r/
1000×associate-*l/
846×distribute-rgt-in
802×distribute-lft-in
328×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01138
124638
2322738
Stop Event
node limit
Counts
2 → 158
Calls
Call 1
Inputs
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x (*.f64 (neg.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 (*.f64 (neg.f64 y) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 y) x) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 x 1/2)) (*.f64 1 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 1/2 x)) (*.f64 1 (*.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 x) 1) (*.f64 (*.f64 (neg.f64 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 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 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 /.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 1/4 (-.f64 (*.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 1/4 (*.f64 y y)) x)) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.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 /.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 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simplify149.0ms (1.3%)

Algorithm
egg-herbie
Rules
766×associate-/l*
720×associate-*r*
704×+-commutative
608×associate-*l*
606×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044210510
113039160
261459160
Stop Event
node limit
Counts
206 → 248
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)))
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(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 3) (pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.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 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512)) (*.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 2) 3)) (*.f64 (*.f64 x (-.f64 1/2 (+.f64 y (*.f64 x 1/8)))) (+.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2)) (*.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2))) (neg.f64 (*.f64 x (-.f64 1/2 (+.f64 y (*.f64 x 1/8))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y)))))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 1/64 (*.f64 x x)))) (-.f64 1/2 (+.f64 y (*.f64 x 1/8))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x 1/8) 3) (pow.f64 (-.f64 1/2 y) 3))) (+.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 (*.f64 1/64 (*.f64 x x)) (*.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2)))) (neg.f64 (*.f64 x (-.f64 1/2 (+.f64 y (*.f64 x 1/8))))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y)))))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y)))))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2)))) (sqrt.f64 (*.f64 x (-.f64 1/2 (+.f64 y (*.f64 x 1/8))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))) 2) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2)))) (cbrt.f64 (*.f64 x (-.f64 1/2 (+.f64 y (*.f64 x 1/8))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2)) 1) (*.f64 x (-.f64 1/2 (+.f64 y (*.f64 x 1/8)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512)) 1) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) 1) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2))) 1) (neg.f64 (*.f64 x (-.f64 1/2 (+.f64 y (*.f64 x 1/8))))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512))) 1) (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512))) (sqrt.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2))) (sqrt.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))))) (sqrt.f64 (*.f64 x (-.f64 1/2 (+.f64 y (*.f64 x 1/8))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))) 2)) (cbrt.f64 (*.f64 x (-.f64 1/2 (+.f64 y (*.f64 x 1/8))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 1/64 (*.f64 x x))) x) (-.f64 1/2 (+.f64 y (*.f64 x 1/8))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x 1/8) 3) (pow.f64 (-.f64 1/2 y) 3)) x) (+.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 (*.f64 1/64 (*.f64 x x)) (*.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (*.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2))) (/.f64 (/.f64 1 x) (-.f64 1/2 (+.f64 y (*.f64 x 1/8))))) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 2) 3)) (/.f64 (/.f64 1 x) (-.f64 1/2 (+.f64 y (*.f64 x 1/8))))) (+.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2)) (*.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y))))))) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 3) (pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.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 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512)) (*.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2)) x) (-.f64 1/2 (+.f64 y (*.f64 x 1/8))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2)) 1) (*.f64 x (-.f64 1/2 (+.f64 y (*.f64 x 1/8)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2)) (sqrt.f64 (*.f64 x (-.f64 1/2 (+.f64 y (*.f64 x 1/8)))))) (sqrt.f64 (*.f64 x (-.f64 1/2 (+.f64 y (*.f64 x 1/8))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2)) (*.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 (+.f64 y (*.f64 x 1/8))))) (cbrt.f64 (*.f64 x (-.f64 1/2 (+.f64 y (*.f64 x 1/8))))))) (cbrt.f64 (*.f64 x (-.f64 1/2 (+.f64 y (*.f64 x 1/8))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2)) (+.f64 (*.f64 x (sqrt.f64 1/8)) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))) (-.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (*.f64 x (sqrt.f64 1/8))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512)) 1) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y)))))))
(pow.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(fma.f64 x (-.f64 1/2 y) (*.f64 x (*.f64 x 1/8)))
(fma.f64 x (*.f64 x 1/8) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (-.f64 1/2 y) x (*.f64 x (*.f64 x 1/8)))
(fma.f64 (*.f64 x 1/8) x (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8)))
(fma.f64 1 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (*.f64 x (*.f64 x 1/8)))
(fma.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) 2) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (*.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))) (*.f64 x (*.f64 x 1/8)))
(fma.f64 (*.f64 x x) 1/8 (*.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 1/2 y) x)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 (-.f64 1/2 y) x))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 (-.f64 1/2 y) x))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 (-.f64 1/2 y) x))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/8))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/8))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2)))
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(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 6) (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) 1/262144)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 6) (*.f64 (pow.f64 (*.f64 x x) 6) -1/262144)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (*.f64 (pow.f64 x 6) -1/512))) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (*.f64 1/8 (pow.f64 x 3)) (fma.f64 x 1/8 (+.f64 -1/2 y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 6) (*.f64 (pow.f64 (*.f64 x x) 6) -1/262144)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (*.f64 (pow.f64 x 6) -1/512))) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 -1/2 (fma.f64 x 1/8 y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 3) (pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.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 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512)) (*.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 3) (*.f64 (pow.f64 (pow.f64 (*.f64 x x) 3) 3) 1/134217728)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 6) (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (-.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/512) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/134217728 (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (*.f64 1/8 (pow.f64 x 3)) (fma.f64 x 1/8 (+.f64 -1/2 y)))) (fma.f64 (*.f64 (pow.f64 x 6) 1/512) (-.f64 (*.f64 (pow.f64 x 6) 1/512) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 6))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/134217728 (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 -1/2 (fma.f64 x 1/8 y)))) (fma.f64 (*.f64 (pow.f64 x 6) 1/512) (-.f64 (*.f64 (pow.f64 x 6) 1/512) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2)) x) (-.f64 1/2 (+.f64 y (*.f64 x 1/8))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2)) (*.f64 x (-.f64 1/2 (+.f64 y (*.f64 x 1/8)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 1/64 (pow.f64 x 4))) (*.f64 x (-.f64 1/2 (fma.f64 x 1/8 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2)) 1) (*.f64 x (-.f64 1/2 (+.f64 y (*.f64 x 1/8)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2)) (*.f64 x (-.f64 1/2 (+.f64 y (*.f64 x 1/8)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 1/64 (pow.f64 x 4))) (*.f64 x (-.f64 1/2 (fma.f64 x 1/8 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2)) (sqrt.f64 (*.f64 x (-.f64 1/2 (+.f64 y (*.f64 x 1/8)))))) (sqrt.f64 (*.f64 x (-.f64 1/2 (+.f64 y (*.f64 x 1/8))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2)) (*.f64 x (-.f64 1/2 (+.f64 y (*.f64 x 1/8)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 1/64 (pow.f64 x 4))) (*.f64 x (-.f64 1/2 (fma.f64 x 1/8 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2)) (*.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 (+.f64 y (*.f64 x 1/8))))) (cbrt.f64 (*.f64 x (-.f64 1/2 (+.f64 y (*.f64 x 1/8))))))) (cbrt.f64 (*.f64 x (-.f64 1/2 (+.f64 y (*.f64 x 1/8))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2)) (*.f64 x (-.f64 1/2 (+.f64 y (*.f64 x 1/8)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 1/64 (pow.f64 x 4))) (*.f64 x (-.f64 1/2 (fma.f64 x 1/8 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2)) (+.f64 (*.f64 x (sqrt.f64 1/8)) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))) (-.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (*.f64 x (sqrt.f64 1/8))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (*.f64 x (*.f64 x 1/8)) 2)) (fma.f64 x (sqrt.f64 1/8) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))) (-.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (*.f64 x (sqrt.f64 1/8))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 1/64 (pow.f64 x 4))) (*.f64 (fma.f64 x (sqrt.f64 1/8) (sqrt.f64 (*.f64 (-.f64 1/2 y) x))) (-.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (*.f64 x (sqrt.f64 1/8)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512)) 1) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 (*.f64 x 1/8) (-.f64 1/2 y))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (*.f64 1/8 (pow.f64 x 3)) (fma.f64 x 1/8 (+.f64 -1/2 y)))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 -1/2 (fma.f64 x 1/8 y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 (*.f64 x 1/8) (-.f64 1/2 y))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (*.f64 1/8 (pow.f64 x 3)) (fma.f64 x 1/8 (+.f64 -1/2 y)))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 -1/2 (fma.f64 x 1/8 y)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 (*.f64 x 1/8) (-.f64 1/2 y))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (*.f64 1/8 (pow.f64 x 3)) (fma.f64 x 1/8 (+.f64 -1/2 y)))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 -1/2 (fma.f64 x 1/8 y)))))
(pow.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) 1)
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))) 2)
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))) 3)
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(pow.f64 (pow.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) 3) 1/3)
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) 2))
(fabs.f64 (*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y))))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))))))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) 3))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(exp.f64 (log.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))) 1))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 x (*.f64 x 1/8)))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(fma.f64 x (*.f64 x 1/8) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(fma.f64 (-.f64 1/2 y) x (*.f64 x (*.f64 x 1/8)))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(fma.f64 (*.f64 x 1/8) x (*.f64 x (-.f64 1/2 y)))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8)))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(fma.f64 1 (*.f64 x (*.f64 x 1/8)) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(fma.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (*.f64 x (*.f64 x 1/8)))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(fma.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) 2) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) 2) (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (-.f64 1/2 y) x))
(+.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) 3))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (*.f64 x (*.f64 x 1/8)))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))
(fma.f64 (*.f64 x x) 1/8 (*.f64 x (-.f64 1/2 y)))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)))

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y)))
0.2b
(*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))
8.0b
(-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8))))
25.5b
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
Compiler

Compiled 113 to 73 computations (35.4% saved)

series16.0ms (0.1%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
9.0ms
y
@-inf
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
1.0ms
y
@0
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
1.0ms
x
@0
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
1.0ms
y
@inf
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
1.0ms
x
@inf
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))

rewrite180.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1004×associate-+l+
422×+-commutative
404×associate-+r+
378×add-sqr-sqrt
368×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015154
1367106
25821106
Stop Event
node limit
Counts
4 → 352
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8))))
(*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))
(*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)) 1/2) (*.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)) (neg.f64 y)) (*.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 y) (*.f64 x x))) (*.f64 (neg.f64 y) (*.f64 (-.f64 1/2 y) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 y) (*.f64 (-.f64 1/2 y) (*.f64 x x))) (*.f64 1/2 (*.f64 (-.f64 1/2 y) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)) (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (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))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x (-.f64 1/2 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))))))

simplify282.0ms (2.4%)

Algorithm
egg-herbie
Rules
1304×associate-*r*
1274×associate-*l*
1196×+-commutative
1154×associate-+r+
790×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
088132236
1273131376
Stop Event
node limit
Counts
436 → 526
Calls
Call 1
Inputs
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 (-.f64 1/2 y) x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 (-.f64 1/2 y) x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 (-.f64 1/2 y) x))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -1 (*.f64 (-.f64 y 1/2) x)))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 (-.f64 1/2 y) 2)) (*.f64 -1 (*.f64 (-.f64 y 1/2) x)))) (*.f64 8 (*.f64 (-.f64 1/2 y) (-.f64 y 1/2))))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 8 (/.f64 (*.f64 (-.f64 1/2 y) (-.f64 (*.f64 -8 (pow.f64 (-.f64 1/2 y) 2)) (*.f64 8 (*.f64 (-.f64 1/2 y) (-.f64 y 1/2))))) x)) (+.f64 (*.f64 -8 (pow.f64 (-.f64 1/2 y) 2)) (*.f64 -1 (*.f64 (-.f64 y 1/2) x))))) (*.f64 8 (*.f64 (-.f64 1/2 y) (-.f64 y 1/2))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/64 (pow.f64 x 4))) (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/64 (pow.f64 x 4))) x) (pow.f64 (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))) 2))))) (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2)))))) (*.f64 1/64 (/.f64 (pow.f64 x 4) (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))))))
(-.f64 (+.f64 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/64 (pow.f64 x 4))) x) (pow.f64 (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))) 2))))) (+.f64 (*.f64 (-.f64 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2)))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/64 (pow.f64 x 4))) x) (pow.f64 (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))) 2)))) x) (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2)))))) (pow.f64 y 2)) (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))))))) (*.f64 1/64 (/.f64 (pow.f64 x 4) (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2)))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/64 (pow.f64 x 4))) x) (pow.f64 (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))) 2)))) x) (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2)))))) (*.f64 (pow.f64 y 3) x)) (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2)))) (+.f64 (*.f64 y (-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/64 (pow.f64 x 4))) x) (pow.f64 (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))) 2))))) (+.f64 (*.f64 (-.f64 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2)))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/64 (pow.f64 x 4))) x) (pow.f64 (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))) 2)))) x) (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2)))))) (pow.f64 y 2)) (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2)))))))) (*.f64 1/64 (/.f64 (pow.f64 x 4) (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))))))
(*.f64 -1 (*.f64 y x))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (*.f64 y x)))) (*.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/64 (pow.f64 x 4))) (*.f64 y x))) (+.f64 x (*.f64 -1 (*.f64 y x))))) (+.f64 (*.f64 1/2 x) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))) (-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) x) (*.f64 1/2 x))) (*.f64 y x)))))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))) (-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/64 (pow.f64 x 4))) x)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))) (-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) x) (*.f64 1/2 x))) x)))) (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/64 (pow.f64 x 4))) (*.f64 y x))) (+.f64 x (*.f64 -1 (*.f64 y x)))))) (+.f64 (*.f64 1/2 x) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))) (-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) x) (*.f64 1/2 x))) (*.f64 y x)))))
(*.f64 -1 (*.f64 y x))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (*.f64 y x)))) (*.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 x) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))) (-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) x) (*.f64 1/2 x))) x) (*.f64 1/64 (pow.f64 x 3)))) y)) (+.f64 x (*.f64 -1 (*.f64 y x))))) (*.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))) (-.f64 (*.f64 1/4 x) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))) (-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) x) (*.f64 1/2 x))) x) (*.f64 1/64 (pow.f64 x 3))))) (*.f64 (pow.f64 y 2) x))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 x) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) (*.f64 1/8 (pow.f64 x 2))) (-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) x) (*.f64 1/2 x))) x) (*.f64 1/64 (pow.f64 x 3)))) y)) (+.f64 x (*.f64 -1 (*.f64 y x)))))) (*.f64 1/2 x))
(*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2))
(+.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)) (*.f64 -1/64 (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)) (*.f64 -1/64 (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)) (*.f64 -1/64 (pow.f64 x 4)))
(*.f64 -1/64 (pow.f64 x 4))
(+.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)) (*.f64 -1/64 (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)) (*.f64 -1/64 (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)) (*.f64 -1/64 (pow.f64 x 4)))
(*.f64 -1/64 (pow.f64 x 4))
(+.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)) (*.f64 -1/64 (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)) (*.f64 -1/64 (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)) (*.f64 -1/64 (pow.f64 x 4)))
(-.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/64 (pow.f64 x 4)))
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(+.f64 (fma.f64 (neg.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) 2)) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 4)) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))
(+.f64 (fma.f64 (neg.f64 (*.f64 1/64 (*.f64 x x))) (*.f64 x x) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))
(+.f64 (fma.f64 (*.f64 x -1/8) (*.f64 x (*.f64 x (*.f64 x 1/8))) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))
(+.f64 (+.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))
(+.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)) (*.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)) 1/2)) (*.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)) (neg.f64 y)))
(+.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)) (*.f64 1/2 (*.f64 (-.f64 1/2 y) (*.f64 x x)))) (*.f64 (neg.f64 y) (*.f64 (-.f64 1/2 y) (*.f64 x x))))
(+.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))
(+.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (+.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))))
(+.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (*.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)) 1))
(+.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) (*.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) (*.f64 x (-.f64 1/2 y)))) (*.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) (*.f64 (*.f64 x x) -1/8)))
(+.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))))) (*.f64 (*.f64 (*.f64 x x) -1/8) (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(*.f64 x (-.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) x) (*.f64 x (*.f64 1/64 (*.f64 x x)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)) 1)
(*.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))) (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))))
(*.f64 1 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))))
(*.f64 (*.f64 x x) (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 1/64 (*.f64 x x))))
(*.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 4) (pow.f64 (*.f64 x (*.f64 x 1/8)) 4)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 6) (pow.f64 (*.f64 x (*.f64 x 1/8)) 6)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 4) (+.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1/2 y) (*.f64 x (*.f64 x 1/8)))) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 4)))))
(*.f64 (*.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) x) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)))
(*.f64 (*.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) (sqrt.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))))) (sqrt.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)))))
(*.f64 (*.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)))) 2)) (cbrt.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 4) (pow.f64 (*.f64 x (*.f64 x 1/8)) 4))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 4) (+.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1/2 y) (*.f64 x (*.f64 x 1/8)))) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 4))) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 6) (pow.f64 (*.f64 x (*.f64 x 1/8)) 6))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 4) (pow.f64 (*.f64 x (*.f64 x 1/8)) 4)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 6) (pow.f64 (*.f64 x (*.f64 x 1/8)) 6)) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 4) (+.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1/2 y) (*.f64 x (*.f64 x 1/8)))) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 4))))
(/.f64 (*.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))))
(/.f64 (*.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (*.f64 (pow.f64 (*.f64 x x) 3) 1/512))) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 4) (pow.f64 (*.f64 x (*.f64 x 1/8)) 4))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 6) (pow.f64 (*.f64 x (*.f64 x 1/8)) 6))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 4) (+.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 1/2 y) (*.f64 x (*.f64 x 1/8)))) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 4)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 4) (*.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))))
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)) 2) (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))))) (-.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 6) (pow.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 4) (-.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) (*.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)) 3) (pow.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) 3)) (+.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)) 2) (-.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))) (*.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))))))
(pow.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)) 1)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) 2)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))))
(fma.f64 x (*.f64 (pow.f64 (-.f64 1/2 y) 2) x) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))
(fma.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y)) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))
(fma.f64 1 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))
(fma.f64 1 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 4)) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 1/2 y) 2) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))
(fma.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)) (-.f64 1/2 y) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))
(fma.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) 1)
(pow.f64 (*.f64 x (*.f64 x 1/8)) 2)
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64) 1)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) 2) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 6) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 4))
(log.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 6))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))
(exp.f64 (*.f64 2 (log.f64 (*.f64 x (*.f64 x 1/8)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/8))) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x (*.f64 x 1/8)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))
(+.f64 (*.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)) 1/2) (*.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)) (neg.f64 y)))
(+.f64 (*.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)) (neg.f64 y)) (*.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)) 1/2))
(+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 y) (*.f64 x x))) (*.f64 (neg.f64 y) (*.f64 (-.f64 1/2 y) (*.f64 x x))))
(+.f64 (*.f64 (neg.f64 y) (*.f64 (-.f64 1/2 y) (*.f64 x x))) (*.f64 1/2 (*.f64 (-.f64 1/2 y) (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) 1)
(/.f64 (*.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)) (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (*.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 2)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 6) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(exp.f64 (*.f64 2 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x (-.f64 1/2 y)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
Outputs
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 (-.f64 1/2 y) x))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 (-.f64 1/2 y) x))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 (-.f64 1/2 y) x))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/8))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))
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(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))))
(+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 -1/64 (pow.f64 x 4)))))
(-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (fma.f64 (pow.f64 x 4) 1/64 (fma.f64 (pow.f64 x 4) 1/64 (*.f64 -1/64 (pow.f64 x 4)))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 1/2 y) 2) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))
(fma.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x x) (*.f64 -1/64 (pow.f64 x 4)))
(+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 -1/64 (pow.f64 x 4)))
(fma.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)) (-.f64 1/2 y) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))
(fma.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x x) (*.f64 -1/64 (pow.f64 x 4)))
(+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 -1/64 (pow.f64 x 4)))
(fma.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64) (neg.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))))
(fma.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))) (fma.f64 (pow.f64 x 4) 1/64 (*.f64 -1/64 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))) 1)
(*.f64 1/64 (pow.f64 x 4))
(pow.f64 (*.f64 x (*.f64 x 1/8)) 2)
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64) 1)
(*.f64 1/64 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) 2) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) 2) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 6) 1/3)
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 6))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 4))
(log.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))
(*.f64 1/64 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64))))
(*.f64 1/64 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 6))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))
(*.f64 1/64 (pow.f64 x 4))
(exp.f64 (*.f64 2 (log.f64 (*.f64 x (*.f64 x 1/8)))))
(pow.f64 (*.f64 x (*.f64 x 1/8)) 2)
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/8))) 2))
(pow.f64 (*.f64 x (*.f64 x 1/8)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x (*.f64 x 1/8)))) 1))
(pow.f64 (*.f64 x (*.f64 x 1/8)) 2)
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 1/64)))
(*.f64 1/64 (pow.f64 x 4))
(+.f64 (*.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)) 1/2) (*.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)) (neg.f64 y)))
(*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x x))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 2)
(+.f64 (*.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)) (neg.f64 y)) (*.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)) 1/2))
(*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x x))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 2)
(+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 y) (*.f64 x x))) (*.f64 (neg.f64 y) (*.f64 (-.f64 1/2 y) (*.f64 x x))))
(*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x x))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 2)
(+.f64 (*.f64 (neg.f64 y) (*.f64 (-.f64 1/2 y) (*.f64 x x))) (*.f64 1/2 (*.f64 (-.f64 1/2 y) (*.f64 x x))))
(*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x x))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) 1)
(*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x x))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 2)
(/.f64 (*.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)) (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)) (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(/.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)) (/.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) (-.f64 1/8 (pow.f64 y 3))))
(/.f64 (-.f64 1/2 y) (/.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) (*.f64 (*.f64 x x) (-.f64 1/8 (pow.f64 y 3)))))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 2)
(*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x x))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 2)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) 1)
(*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x x))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) 3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 6) 1/3)
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 6))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 4))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x x))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x x))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 2)
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 6))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 6))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x x))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 2)
(exp.f64 (*.f64 2 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x x))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 2)
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2))
(*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x x))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x (-.f64 1/2 y)))) 1))
(*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x x))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x x))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 2)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 15 to 12 computations (20% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite57.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1800×add-sqr-sqrt
1770×*-un-lft-identity
1666×add-cube-cbrt
1650×add-cbrt-cube
170×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
117313
2224113
Stop Event
node limit
Counts
1 → 36
Calls
Call 1
Inputs
(+.f64 (/.f64 x 2) (log.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 x x) 4) (-.f64 (*.f64 x 1/2) (log1p.f64 1))) (/.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (*.f64 x 1/2) (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/2 (log1p.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (*.f64 x x) 4) (pow.f64 (log1p.f64 1) 2)) (/.f64 1 (-.f64 (*.f64 x 1/2) (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (+.f64 (/.f64 (*.f64 x x) 4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x 1/2) (log1p.f64 1)) (-.f64 (/.f64 (*.f64 x x) 4) (pow.f64 (log1p.f64 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 (*.f64 x x) 4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 x 1/2)))) (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log1p.f64 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (*.f64 x x) 4) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 x 1/2) (log1p.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log1p.f64 1) 3)) (+.f64 (/.f64 (*.f64 x x) 4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (/.f64 (*.f64 x x) 4) (/.f64 (*.f64 x (log1p.f64 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (/.f64 (*.f64 x x) 4)) (-.f64 (log1p.f64 1) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 (*.f64 x x) 4) (pow.f64 (log1p.f64 1) 2))) (neg.f64 (-.f64 (*.f64 x 1/2) (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log1p.f64 1) 3))) (neg.f64 (+.f64 (/.f64 (*.f64 x x) 4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (log1p.f64 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) (log1p.f64 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 1) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log1p.f64 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (*.f64 x x) 4)) (cbrt.f64 (*.f64 x 1/2)) (log1p.f64 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x 1/2))))))

simplify54.0ms (0.5%)

Algorithm
egg-herbie
Rules
1166×associate-*r*
1084×associate-/r*
960×associate-*l*
670×associate-+r+
484×distribute-lft-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01001204
12281164
27681118
341591114
Stop Event
node limit
Counts
48 → 54
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1)))) 1)
(-.f64 (/.f64 (/.f64 (*.f64 x x) 4) (-.f64 (*.f64 x 1/2) (log1p.f64 1))) (/.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (*.f64 x 1/2) (log1p.f64 1))))
(*.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x 1/2 (log1p.f64 1)))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(*.f64 (-.f64 (/.f64 (*.f64 x x) 4) (pow.f64 (log1p.f64 1) 2)) (/.f64 1 (-.f64 (*.f64 x 1/2) (log1p.f64 1))))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (+.f64 (/.f64 (*.f64 x x) 4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 x 1/2))))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x 1/2) (log1p.f64 1)) (-.f64 (/.f64 (*.f64 x x) 4) (pow.f64 (log1p.f64 1) 2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (*.f64 x x) 4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 x 1/2)))) (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log1p.f64 1) 3))))
(/.f64 (-.f64 (/.f64 (*.f64 x x) 4) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 x 1/2) (log1p.f64 1)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log1p.f64 1) 3)) (+.f64 (/.f64 (*.f64 x x) 4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 x 1/2)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (/.f64 (*.f64 x x) 4) (/.f64 (*.f64 x (log1p.f64 1)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (/.f64 (*.f64 x x) 4)) (-.f64 (log1p.f64 1) (*.f64 x 1/2)))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 x x) 4) (pow.f64 (log1p.f64 1) 2))) (neg.f64 (-.f64 (*.f64 x 1/2) (log1p.f64 1))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log1p.f64 1) 3))) (neg.f64 (+.f64 (/.f64 (*.f64 x x) 4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 x 1/2))))))
(pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 2))
(log.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1 (*.f64 x 1/2) (log1p.f64 1))
(fma.f64 1 (log1p.f64 1) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 x x) 4)) (cbrt.f64 (*.f64 x 1/2)) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x 1/2))
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1)))) 1)
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(-.f64 (/.f64 (/.f64 (*.f64 x x) 4) (-.f64 (*.f64 x 1/2) (log1p.f64 1))) (/.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (*.f64 x 1/2) (log1p.f64 1))))
(/.f64 (-.f64 (/.f64 (*.f64 x x) 4) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 1/2 x) (log1p.f64 1)))
(/.f64 (-.f64 (*.f64 (/.f64 x 4) x) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 1/2 x) (log1p.f64 1)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 x (/.f64 x 4))) (fma.f64 x -1/2 (log1p.f64 1)))
(*.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(*.f64 1 (fma.f64 x 1/2 (log1p.f64 1)))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(*.f64 (-.f64 (/.f64 (*.f64 x x) 4) (pow.f64 (log1p.f64 1) 2)) (/.f64 1 (-.f64 (*.f64 x 1/2) (log1p.f64 1))))
(/.f64 (-.f64 (/.f64 (*.f64 x x) 4) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 1/2 x) (log1p.f64 1)))
(/.f64 (-.f64 (*.f64 (/.f64 x 4) x) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 1/2 x) (log1p.f64 1)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 x (/.f64 x 4))) (fma.f64 x -1/2 (log1p.f64 1)))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (+.f64 (/.f64 (*.f64 x x) 4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 x 1/2))))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (+.f64 (/.f64 (*.f64 x x) 4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 1/2 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log1p.f64 1) 3)) (fma.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)) (*.f64 (/.f64 x 4) x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log1p.f64 1) 3)) (fma.f64 (log1p.f64 1) (fma.f64 x -1/2 (log1p.f64 1)) (*.f64 x (/.f64 x 4))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x 1/2) (log1p.f64 1)) (-.f64 (/.f64 (*.f64 x x) 4) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (-.f64 (/.f64 (*.f64 x x) 4) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 1/2 x) (log1p.f64 1)))
(/.f64 (-.f64 (*.f64 (/.f64 x 4) x) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 1/2 x) (log1p.f64 1)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 x (/.f64 x 4))) (fma.f64 x -1/2 (log1p.f64 1)))
(/.f64 1 (/.f64 (+.f64 (/.f64 (*.f64 x x) 4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 x 1/2)))) (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log1p.f64 1) 3))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (+.f64 (/.f64 (*.f64 x x) 4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 1/2 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log1p.f64 1) 3)) (fma.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)) (*.f64 (/.f64 x 4) x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log1p.f64 1) 3)) (fma.f64 (log1p.f64 1) (fma.f64 x -1/2 (log1p.f64 1)) (*.f64 x (/.f64 x 4))))
(/.f64 (-.f64 (/.f64 (*.f64 x x) 4) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 x 1/2) (log1p.f64 1)))
(/.f64 (-.f64 (/.f64 (*.f64 x x) 4) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 1/2 x) (log1p.f64 1)))
(/.f64 (-.f64 (*.f64 (/.f64 x 4) x) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 1/2 x) (log1p.f64 1)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 x (/.f64 x 4))) (fma.f64 x -1/2 (log1p.f64 1)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log1p.f64 1) 3)) (+.f64 (/.f64 (*.f64 x x) 4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 x 1/2)))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (+.f64 (/.f64 (*.f64 x x) 4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 1/2 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log1p.f64 1) 3)) (fma.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)) (*.f64 (/.f64 x 4) x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log1p.f64 1) 3)) (fma.f64 (log1p.f64 1) (fma.f64 x -1/2 (log1p.f64 1)) (*.f64 x (/.f64 x 4))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (/.f64 (*.f64 x x) 4) (/.f64 (*.f64 x (log1p.f64 1)) 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log1p.f64 1) 3)) (-.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (/.f64 (*.f64 x x) 4)) (/.f64 x (/.f64 2 (log1p.f64 1)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log1p.f64 1) 3)) (-.f64 (*.f64 (/.f64 x 4) x) (-.f64 (*.f64 (/.f64 x 2) (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log1p.f64 1) 3)) (-.f64 (*.f64 x (/.f64 x 4)) (*.f64 (log1p.f64 1) (-.f64 (/.f64 x 2) (log1p.f64 1)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log1p.f64 1) 3)) (fma.f64 (/.f64 x 4) x (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (/.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (/.f64 (*.f64 x x) 4)) (-.f64 (log1p.f64 1) (*.f64 x 1/2)))
(/.f64 (-.f64 (/.f64 (*.f64 x x) 4) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 1/2 x) (log1p.f64 1)))
(/.f64 (-.f64 (*.f64 (/.f64 x 4) x) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 1/2 x) (log1p.f64 1)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 x (/.f64 x 4))) (fma.f64 x -1/2 (log1p.f64 1)))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 x x) 4) (pow.f64 (log1p.f64 1) 2))) (neg.f64 (-.f64 (*.f64 x 1/2) (log1p.f64 1))))
(/.f64 (-.f64 (/.f64 (*.f64 x x) 4) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 1/2 x) (log1p.f64 1)))
(/.f64 (-.f64 (*.f64 (/.f64 x 4) x) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 1/2 x) (log1p.f64 1)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 x (/.f64 x 4))) (fma.f64 x -1/2 (log1p.f64 1)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log1p.f64 1) 3))) (neg.f64 (+.f64 (/.f64 (*.f64 x x) 4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 x 1/2))))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (+.f64 (/.f64 (*.f64 x x) 4) (*.f64 (log1p.f64 1) (-.f64 (log1p.f64 1) (*.f64 1/2 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log1p.f64 1) 3)) (fma.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)) (*.f64 (/.f64 x 4) x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log1p.f64 1) 3)) (fma.f64 (log1p.f64 1) (fma.f64 x -1/2 (log1p.f64 1)) (*.f64 x (/.f64 x 4))))
(pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2)
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 3)
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3) 1/3)
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 2))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(log.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1)))))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))) 1))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 1 (*.f64 x 1/2) (log1p.f64 1))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 1 (log1p.f64 1) (*.f64 x 1/2))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log1p.f64 1))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x 1/2))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 x x) 4)) (cbrt.f64 (*.f64 x 1/2)) (log1p.f64 1))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 x x) 4)) (cbrt.f64 (*.f64 1/2 x)) (log1p.f64 1))
(fma.f64 (cbrt.f64 (*.f64 (/.f64 x 4) x)) (cbrt.f64 (*.f64 1/2 x)) (log1p.f64 1))
(fma.f64 (cbrt.f64 (*.f64 x (/.f64 x 4))) (cbrt.f64 (*.f64 1/2 x)) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x 1/2))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))

eval807.0ms (6.8%)

Compiler

Compiled 40272 to 27331 computations (32.1% saved)

prune334.0ms (2.8%)

Pruning

26 alts after pruning (18 fresh and 8 done)

PrunedKeptTotal
New1117101127
Fresh2810
Picked011
Done3710
Total1122261148
Error
0.2b
Counts
1148 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
62.1b
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
56.4b
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
53.8b
(/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) x) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
56.4b
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
46.7b
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
48.6b
(/.f64 1 (/.f64 1 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
62.1b
(-.f64 (+.f64 1 (*.f64 1/8 (*.f64 x x))) 1)
0.3b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
7.6b
(-.f64 (log.f64 2) (*.f64 x y))
29.6b
(+.f64 (/.f64 x 2) (log.f64 2))
14.1b
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
48.5b
(+.f64 (*.f64 y (neg.f64 x)) (*.f64 x (*.f64 x 1/8)))
46.6b
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x))
29.3b
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
61.9b
(+.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x 1/8)))
22.9b
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
46.6b
(*.f64 (-.f64 1/2 y) x)
61.9b
(*.f64 (+.f64 1/2 (*.f64 1/8 x)) x)
34.1b
(*.f64 x (neg.f64 y))
29.2b
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
61.7b
(*.f64 1/2 x)
61.8b
(*.f64 1/8 (*.f64 x x))
30.2b
(log1p.f64 (+.f64 x 1))
28.6b
(log1p.f64 (exp.f64 x))
28.7b
(log.f64 (+.f64 1 (exp.f64 x)))
29.8b
(log.f64 2)
Compiler

Compiled 286 to 216 computations (24.5% saved)

regimes81.0ms (0.7%)

Counts
39 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 1/8 (*.f64 x x))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (+.f64 1/2 (*.f64 1/8 x)) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 1/8 x)))
(+.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x 1/8)))
(-.f64 (+.f64 1 (*.f64 1/8 (*.f64 x x))) 1)
(+.f64 (*.f64 y (neg.f64 x)) (*.f64 x (*.f64 x 1/8)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(+.f64 (*.f64 x (+.f64 1/2 (*.f64 x 1/8))) (*.f64 x (neg.f64 y)))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
(/.f64 1 (/.f64 1 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (*.f64 x -1/8))) (-.f64 1/4 (*.f64 (+.f64 y (*.f64 x -1/8)) (+.f64 y (*.f64 x -1/8))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) x) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(log.f64 2)
(log.f64 (+.f64 2 x))
(log1p.f64 (+.f64 x 1))
(+.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 (/.f64 x (/.f64 -1 y)) (log.f64 2))
(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (*.f64 1/2 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)) (log.f64 2)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.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))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

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

Compiled 413 to 276 computations (33.2% saved)

regimes94.0ms (0.8%)

Counts
31 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 1/8 (*.f64 x x))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (+.f64 1/2 (*.f64 1/8 x)) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 1/8 x)))
(+.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x 1/8)))
(-.f64 (+.f64 1 (*.f64 1/8 (*.f64 x x))) 1)
(+.f64 (*.f64 y (neg.f64 x)) (*.f64 x (*.f64 x 1/8)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(+.f64 (*.f64 x (+.f64 1/2 (*.f64 x 1/8))) (*.f64 x (neg.f64 y)))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
(/.f64 1 (/.f64 1 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (*.f64 x -1/8))) (-.f64 1/4 (*.f64 (+.f64 y (*.f64 x -1/8)) (+.f64 y (*.f64 x -1/8))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) x) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(log.f64 2)
(log.f64 (+.f64 2 x))
(log1p.f64 (+.f64 x 1))
(+.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 (/.f64 x (/.f64 -1 y)) (log.f64 2))
(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
Outputs
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
Calls

2 calls:

49.0ms
y
37.0ms
x
Results
ErrorSegmentsBranch
1.2b2x
6.6b3y
Compiler

Compiled 323 to 216 computations (33.1% saved)

bsearch46.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
46.0ms
-3744402207.292076
-29125.56103317629
Results
20.0ms41×body1024valid
10.0ms77×body256valid
8.0msbody2048valid
5.0ms18×body512valid
0.0msbody256infinite
Compiler

Compiled 178 to 138 computations (22.5% saved)

regimes84.0ms (0.7%)

Counts
26 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 1/8 (*.f64 x x))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (+.f64 1/2 (*.f64 1/8 x)) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 1/8 x)))
(+.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x 1/8)))
(-.f64 (+.f64 1 (*.f64 1/8 (*.f64 x x))) 1)
(+.f64 (*.f64 y (neg.f64 x)) (*.f64 x (*.f64 x 1/8)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(+.f64 (*.f64 x (+.f64 1/2 (*.f64 x 1/8))) (*.f64 x (neg.f64 y)))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
(/.f64 1 (/.f64 1 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (*.f64 x -1/8))) (-.f64 1/4 (*.f64 (+.f64 y (*.f64 x -1/8)) (+.f64 y (*.f64 x -1/8))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) x) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(log.f64 2)
(log.f64 (+.f64 2 x))
(log1p.f64 (+.f64 x 1))
(+.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:

51.0ms
y
27.0ms
x
Results
ErrorSegmentsBranch
1.7b2x
6.6b3y
Compiler

Compiled 289 to 191 computations (33.9% saved)

bsearch47.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
47.0ms
-3744402207.292076
-29125.56103317629
Results
20.0ms35×body1024valid
12.0ms84×body256valid
10.0ms11×body2048valid
4.0ms14×body512valid
Compiler

Compiled 160 to 120 computations (25% saved)

regimes150.0ms (1.3%)

Counts
25 → 4
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 1/8 (*.f64 x x))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (+.f64 1/2 (*.f64 1/8 x)) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 1/8 x)))
(+.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x 1/8)))
(-.f64 (+.f64 1 (*.f64 1/8 (*.f64 x x))) 1)
(+.f64 (*.f64 y (neg.f64 x)) (*.f64 x (*.f64 x 1/8)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(+.f64 (*.f64 x (+.f64 1/2 (*.f64 x 1/8))) (*.f64 x (neg.f64 y)))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
(/.f64 1 (/.f64 1 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (*.f64 x -1/8))) (-.f64 1/4 (*.f64 (+.f64 y (*.f64 x -1/8)) (+.f64 y (*.f64 x -1/8))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) x) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(log.f64 2)
(log.f64 (+.f64 2 x))
(log1p.f64 (+.f64 x 1))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (/.f64 x 2) (log.f64 2))
Outputs
(*.f64 x (neg.f64 y))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
Calls

2 calls:

92.0ms
y
51.0ms
x
Results
ErrorSegmentsBranch
10.8b4x
17.9b7y
Compiler

Compiled 283 to 187 computations (33.9% saved)

bsearch52.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
9.176581924503477e-54
2.1245876190145173e-52
6.0ms
6.546532537694717e-65
8.1722178427676e-65
29.0ms
-1.4806731386306652e-36
-3.1823070565056574e-48
Results
48.0ms320×body256valid
Compiler

Compiled 294 to 243 computations (17.3% saved)

regimes146.0ms (1.2%)

Counts
23 → 4
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 1/8 (*.f64 x x))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (+.f64 1/2 (*.f64 1/8 x)) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 1/8 x)))
(+.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x 1/8)))
(-.f64 (+.f64 1 (*.f64 1/8 (*.f64 x x))) 1)
(+.f64 (*.f64 y (neg.f64 x)) (*.f64 x (*.f64 x 1/8)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(+.f64 (*.f64 x (+.f64 1/2 (*.f64 x 1/8))) (*.f64 x (neg.f64 y)))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
(/.f64 1 (/.f64 1 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (*.f64 x -1/8))) (-.f64 1/4 (*.f64 (+.f64 y (*.f64 x -1/8)) (+.f64 y (*.f64 x -1/8))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) x) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(log.f64 2)
(log.f64 (+.f64 2 x))
(log1p.f64 (+.f64 x 1))
Outputs
(*.f64 x (neg.f64 y))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
(log1p.f64 (+.f64 x 1))
Calls

2 calls:

80.0ms
y
49.0ms
x
Results
ErrorSegmentsBranch
10.8b4x
18.3b7y
Compiler

Compiled 271 to 177 computations (34.7% saved)

bsearch42.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
14.0ms
9.176581924503477e-54
2.1245876190145173e-52
6.0ms
6.546532537694717e-65
8.1722178427676e-65
22.0ms
-1.4806731386306652e-36
-3.1823070565056574e-48
Results
38.0ms320×body256valid
Compiler

Compiled 280 to 229 computations (18.2% saved)

regimes134.0ms (1.1%)

Counts
22 → 4
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 1/8 (*.f64 x x))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (+.f64 1/2 (*.f64 1/8 x)) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 1/8 x)))
(+.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x 1/8)))
(-.f64 (+.f64 1 (*.f64 1/8 (*.f64 x x))) 1)
(+.f64 (*.f64 y (neg.f64 x)) (*.f64 x (*.f64 x 1/8)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(+.f64 (*.f64 x (+.f64 1/2 (*.f64 x 1/8))) (*.f64 x (neg.f64 y)))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
(/.f64 1 (/.f64 1 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (*.f64 x -1/8))) (-.f64 1/4 (*.f64 (+.f64 y (*.f64 x -1/8)) (+.f64 y (*.f64 x -1/8))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) x) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(log.f64 2)
(log.f64 (+.f64 2 x))
Outputs
(*.f64 x (neg.f64 y))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
(log.f64 (+.f64 2 x))
Calls

2 calls:

75.0ms
y
51.0ms
x
Results
ErrorSegmentsBranch
10.8b4x
18.3b7y
Compiler

Compiled 267 to 174 computations (34.8% saved)

bsearch44.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
14.0ms
9.176581924503477e-54
2.1245876190145173e-52
9.0ms
6.546532537694717e-65
8.1722178427676e-65
20.0ms
-1.4806731386306652e-36
-3.1823070565056574e-48
Results
40.0ms320×body256valid
Compiler

Compiled 280 to 229 computations (18.2% saved)

regimes129.0ms (1.1%)

Counts
21 → 4
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 1/8 (*.f64 x x))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (+.f64 1/2 (*.f64 1/8 x)) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 1/8 x)))
(+.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x 1/8)))
(-.f64 (+.f64 1 (*.f64 1/8 (*.f64 x x))) 1)
(+.f64 (*.f64 y (neg.f64 x)) (*.f64 x (*.f64 x 1/8)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(+.f64 (*.f64 x (+.f64 1/2 (*.f64 x 1/8))) (*.f64 x (neg.f64 y)))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
(/.f64 1 (/.f64 1 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (*.f64 x -1/8))) (-.f64 1/4 (*.f64 (+.f64 y (*.f64 x -1/8)) (+.f64 y (*.f64 x -1/8))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) x) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(log.f64 2)
Outputs
(*.f64 x (neg.f64 y))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
(log.f64 2)
Calls

2 calls:

83.0ms
y
40.0ms
x
Results
ErrorSegmentsBranch
11.1b4x
18.5b7y
Compiler

Compiled 263 to 171 computations (35% saved)

bsearch47.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
9.176581924503477e-54
2.1245876190145173e-52
6.0ms
6.546532537694717e-65
8.1722178427676e-65
24.0ms
-1.4806731386306652e-36
-3.1823070565056574e-48
Results
43.0ms320×body256valid
Compiler

Compiled 266 to 222 computations (16.5% saved)

regimes26.0ms (0.2%)

Accuracy

Total -28.9b remaining (-84.8%)

Threshold costs -28.9b (-84.8%)

Counts
20 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 1/8 (*.f64 x x))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (+.f64 1/2 (*.f64 1/8 x)) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 1/8 x)))
(+.f64 (*.f64 1/2 x) (*.f64 x (*.f64 x 1/8)))
(-.f64 (+.f64 1 (*.f64 1/8 (*.f64 x x))) 1)
(+.f64 (*.f64 y (neg.f64 x)) (*.f64 x (*.f64 x 1/8)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(+.f64 (*.f64 x (+.f64 1/2 (*.f64 x 1/8))) (*.f64 x (neg.f64 y)))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
(/.f64 1 (/.f64 1 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)))))
(/.f64 x (/.f64 (+.f64 1/2 (+.f64 y (*.f64 x -1/8))) (-.f64 1/4 (*.f64 (+.f64 y (*.f64 x -1/8)) (+.f64 y (*.f64 x -1/8))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) x) (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (*.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x (*.f64 x 1/8)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (*.f64 x 1/8))))
Outputs
(*.f64 x (neg.f64 y))
Calls

2 calls:

11.0ms
x
10.0ms
y
Results
ErrorSegmentsBranch
34.1b1x
34.1b1y
Compiler

Compiled 261 to 169 computations (35.2% saved)

simplify13.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
060387
186387
298387
3103387
4105387
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -29500) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -29500) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -2185003407875193/1496577676626844588240573268701473812127674924007424) (*.f64 x (neg.f64 y)) (if (<=.f64 x 4742843975160471/59285549689505892056868344324448208820874232148807968788202283012051522375647232) (log.f64 2) (if (<=.f64 x 4097911893406897/431359146674410236714672241392314090778194310760649159697657763987456) (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/2 x) (log.f64 2)))))
(if (<=.f64 x -2185003407875193/1496577676626844588240573268701473812127674924007424) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2223208113356471/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (log.f64 2) (if (<=.f64 x 1984252074702287/215679573337205118357336120696157045389097155380324579848828881993728) (*.f64 (-.f64 1/2 y) x) (log1p.f64 (+.f64 x 1)))))
(if (<=.f64 x -6904811908925349/3138550867693340381917894711603833208051177722232017256448) (*.f64 x (neg.f64 y)) (if (<=.f64 x 4742843975160471/59285549689505892056868344324448208820874232148807968788202283012051522375647232) (log.f64 2) (if (<=.f64 x 1984252074702287/215679573337205118357336120696157045389097155380324579848828881993728) (*.f64 (-.f64 1/2 y) x) (log.f64 (+.f64 2 x)))))
(if (<=.f64 x -2185003407875193/1496577676626844588240573268701473812127674924007424) (*.f64 x (neg.f64 y)) (if (<=.f64 x 281606361025153/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (log.f64 2) (if (<=.f64 x 6039028053441743/431359146674410236714672241392314090778194310760649159697657763987456) (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -29500) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -29500) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -29500) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -2185003407875193/1496577676626844588240573268701473812127674924007424) (*.f64 x (neg.f64 y)) (if (<=.f64 x 4742843975160471/59285549689505892056868344324448208820874232148807968788202283012051522375647232) (log.f64 2) (if (<=.f64 x 4097911893406897/431359146674410236714672241392314090778194310760649159697657763987456) (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/2 x) (log.f64 2)))))
(if (<=.f64 x -2185003407875193/1496577676626844588240573268701473812127674924007424) (*.f64 x (neg.f64 y)) (if (<=.f64 x 4742843975160471/59285549689505892056868344324448208820874232148807968788202283012051522375647232) (log.f64 2) (if (<=.f64 x 4097911893406897/431359146674410236714672241392314090778194310760649159697657763987456) (*.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) (*.f64 x 1/2)))))
(if (<=.f64 x -2185003407875193/1496577676626844588240573268701473812127674924007424) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2223208113356471/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (log.f64 2) (if (<=.f64 x 1984252074702287/215679573337205118357336120696157045389097155380324579848828881993728) (*.f64 (-.f64 1/2 y) x) (log1p.f64 (+.f64 x 1)))))
(if (<=.f64 x -2185003407875193/1496577676626844588240573268701473812127674924007424) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2223208113356471/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (log.f64 2) (if (<=.f64 x 1984252074702287/215679573337205118357336120696157045389097155380324579848828881993728) (*.f64 x (-.f64 1/2 y)) (log1p.f64 (+.f64 x 1)))))
(if (<=.f64 x -6904811908925349/3138550867693340381917894711603833208051177722232017256448) (*.f64 x (neg.f64 y)) (if (<=.f64 x 4742843975160471/59285549689505892056868344324448208820874232148807968788202283012051522375647232) (log.f64 2) (if (<=.f64 x 1984252074702287/215679573337205118357336120696157045389097155380324579848828881993728) (*.f64 (-.f64 1/2 y) x) (log.f64 (+.f64 2 x)))))
(if (<=.f64 x -6904811908925349/3138550867693340381917894711603833208051177722232017256448) (*.f64 x (neg.f64 y)) (if (<=.f64 x 4742843975160471/59285549689505892056868344324448208820874232148807968788202283012051522375647232) (log.f64 2) (if (<=.f64 x 1984252074702287/215679573337205118357336120696157045389097155380324579848828881993728) (*.f64 x (-.f64 1/2 y)) (log.f64 (+.f64 x 2)))))
(if (<=.f64 x -2185003407875193/1496577676626844588240573268701473812127674924007424) (*.f64 x (neg.f64 y)) (if (<=.f64 x 281606361025153/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (log.f64 2) (if (<=.f64 x 6039028053441743/431359146674410236714672241392314090778194310760649159697657763987456) (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(if (<=.f64 x -2185003407875193/1496577676626844588240573268701473812127674924007424) (*.f64 x (neg.f64 y)) (if (<=.f64 x 281606361025153/3705346855594118253554271520278013051304639509300498049262642688253220148477952) (log.f64 2) (if (<=.f64 x 6039028053441743/431359146674410236714672241392314090778194310760649159697657763987456) (*.f64 x (-.f64 1/2 y)) (log.f64 2))))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)
Compiler

Compiled 170 to 123 computations (27.6% saved)

soundness185.0ms (1.6%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 18 to 10 computations (44.4% saved)

end100.0ms (0.9%)

Compiler

Compiled 154 to 94 computations (39% saved)

Profiling

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