Details

Time bar (total: 8.0s)

analyze130.0ms (1.6%)

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

Compiled 12 to 9 computations (25% saved)

sample3.8s (46.7%)

Results
2.3s2591×body8192exit
1.2s7788×body256valid
95.0ms193×body1024valid
81.0ms273×body512valid
21.0ms146×body256infinite
3.0msbody2048valid
Bogosity

preprocess72.0ms (0.9%)

Algorithm
egg-herbie
Rules
732×times-frac_binary64
550×fma-def_binary64
473×associate-/r/_binary64
413×fabs-mul_binary64
232×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01422
13222
24522
37122
410122
515022
623122
732122
842822
954622
1063822
1167822
1282622
13126722
14309522
15588922
16724522
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))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify60.0ms (0.8%)

Algorithm
egg-herbie
Rules
479×fma-def_binary64
369×times-frac_binary64
368×associate-*l*_binary64
315×associate-/l*_binary64
289×associate-/l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11911
23011
34711
46611
510011
615411
720611
827511
935411
1041611
1144211
1252111
1374911
14168511
15492511
16602711
17766611
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
0.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0b
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 20 to 14 computations (30% saved)

localize13.0ms (0.2%)

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

Compiled 28 to 14 computations (50% saved)

series51.0ms (0.6%)

Counts
3 → 32
Calls

12 calls:

TimeVariablePointExpression
23.0ms
x
@inf
(log.f64 (+.f64 1 (exp.f64 x)))
21.0ms
x
@-inf
(log.f64 (+.f64 1 (exp.f64 x)))
3.0ms
y
@0
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
1.0ms
x
@0
(log.f64 (+.f64 1 (exp.f64 x)))
0.0ms
x
@inf
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

rewrite72.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
702×prod-diff_binary64
447×log-prod_binary64
319×fma-def_binary64
293×pow-prod-down_binary64
243×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0922
118822
2251622
Stop Event
node limit
Counts
3 → 240
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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 1/3 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 1/2 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (log.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (log.f64 (neg.f64 (-.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (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 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 (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 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))))) (#(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 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 x))))) (pow.f64 (E.f64) (*.f64 1/3 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (exp.f64 x)))) (pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 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1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 1) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 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(cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) 2) (cbrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x y) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) (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 fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 (exp.f64 x)))))))

simplify96.0ms (1.2%)

Algorithm
egg-herbie
Rules
848×fma-neg_binary64
396×times-frac_binary64
369×log-prod_binary64
264×fma-def_binary64
231×exp-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05544559
113434177
245044046
Stop Event
node limit
Counts
272 → 300
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 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(+.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))
(+.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (log.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (log.f64 (neg.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (expm1.f64 x)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.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 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(*.f64 2 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(*.f64 1/3 (*.f64 3 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(neg.f64 (log.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))))
(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))))
(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))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (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 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.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 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 x))))) (pow.f64 (E.f64) (*.f64 1/3 (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (exp.f64 x)))) (pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log1p.f64 (pow.f64 (exp.f64 x) 3))) (pow.f64 (E.f64) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (pow.f64 (E.f64) (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2)))) (pow.f64 (E.f64) (log1p.f64 (neg.f64 (exp.f64 x)))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 1) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (exp.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (exp.f64 x) 1 1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.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))
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(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)))))
(log.f64 (/.f64 (+.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 1 (exp.f64 x))))
(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))))
(log1p.f64 (expm1.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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1) 1))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 1 (-.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)))
(fma.f64 1 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (log1p.f64 (exp.f64 x)) 1 (*.f64 x (neg.f64 y)))
(fma.f64 (log1p.f64 (exp.f64 x)) 1 (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(fma.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1 (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (neg.f64 (cbrt.f64 (*.f64 x y))) (log1p.f64 (exp.f64 x)))
(fma.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) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.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) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.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) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.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 (*.f64 x (neg.f64 y)) 1 (*.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 x) y (*.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 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (*.f64 x (neg.f64 y)) 1))
(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 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) (log1p.f64 (exp.f64 x)))
(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 (*.f64 x (neg.f64 y)) 1 (*.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 x) y (*.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 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.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 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) 2) (cbrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 -1 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(fma.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))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.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))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.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))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 (exp.f64 x)))
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)))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
(+.f64 (fma.f64 1/2 (*.f64 x x) x) (fma.f64 1/6 (pow.f64 x 3) 2))
(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))
(neg.f64 (*.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 (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))
(neg.f64 (*.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 (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))
(neg.f64 (*.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 (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))
(neg.f64 (*.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 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(log1p.f64 (exp.f64 x))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (neg.f64 (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (neg.f64 (log.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(+.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(+.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (neg.f64 (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (neg.f64 (log.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (neg.f64 (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (+.f64 (neg.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (neg.f64 (log.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (log.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log.f64 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) 3)))) (log.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log.f64 (-.f64 -1 (pow.f64 (exp.f64 x) 3))) (log.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (log.f64 (neg.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2))) (log.f64 (+.f64 -1 (exp.f64 x))))
(-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (expm1.f64 x)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
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localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 19 to 6 computations (68.4% saved)

series2.0ms (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
y
@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))

rewrite49.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
792×pow1_binary64
733×add-log-exp_binary64
733×expm1-log1p-u_binary64
732×log1p-expm1-u_binary64
716×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0716
114716
2201516
Stop Event
node limit
Counts
2 → 52
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.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 (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 (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 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 (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 (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 (-.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 (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 (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 (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 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 (-.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) (pow.f64 (*.f64 x y) 2)) (+.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 /.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 (+.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 (-.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 pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)))) (#(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 pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)))) (#(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 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 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 log1p.f64 (expm1.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 fma.f64 1 (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)))))) (#(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)))))))

simplify56.0ms (0.7%)

Algorithm
egg-herbie
Rules
373×fma-neg_binary64
329×unswap-sqr_binary64
319×times-frac_binary64
274×log-prod_binary64
267×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01481115
13851055
216461055
370761055
Stop Event
node limit
Counts
88 → 79
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 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 1 (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 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(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))))
(+.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 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.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 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 (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 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.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 (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 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)) 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) (pow.f64 (*.f64 x y) 2)) (+.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 (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)) 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 (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))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(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))))
(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))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.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 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (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)))
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))
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(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
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(*.f64 (-.f64 (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 (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 (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)) 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 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 (-.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)) 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 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
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(/.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)))
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(-.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))
(log1p.f64 (expm1.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))
(fma.f64 1 (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))
(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))

eval92.0ms (1.1%)

Compiler

Compiled 6786 to 2346 computations (65.4% saved)

prune52.0ms (0.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3736379
Fresh000
Picked101
Done101
Total3756381
Error
0b
Counts
381 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.6b
(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
16.7b
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
6.4b
(-.f64 (log.f64 2) (*.f64 x y))
11.9b
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
36.6b
(*.f64 x (neg.f64 y))
26.4b
(log1p.f64 (exp.f64 x))
Compiler

Compiled 104 to 78 computations (25% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 36 to 17 computations (52.8% saved)

series3.0ms (0%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
0.0ms
x
@0
(+.f64 1 (log1p.f64 (exp.f64 x)))
0.0ms
x
@-inf
(+.f64 1 (log1p.f64 (exp.f64 x)))
0.0ms
x
@0
(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
0.0ms
x
@inf
(+.f64 1 (log1p.f64 (exp.f64 x)))

rewrite80.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
522×fma-def_binary64
479×log-prod_binary64
321×pow-prod-down_binary64
295×fma-neg_binary64
267×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
122424
2332524
Stop Event
node limit
Counts
3 → 270
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
(+.f64 1 (log1p.f64 (exp.f64 x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (neg.f64 (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (-.f64 -1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 -1 (*.f64 x (neg.f64 y))))))) (#(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 (log1p.f64 (exp.f64 x)) (-.f64 1 (fma.f64 x y 1)))))) (#(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 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simplify102.0ms (1.3%)

Algorithm
egg-herbie
Rules
280×distribute-rgt-neg-in_binary64
269×fma-def_binary64
229×distribute-lft-neg-in_binary64
200×sub-neg_binary64
199×sqr-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05024766
111914599
240874599
Stop Event
node limit
Counts
318 → 355
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)
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(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
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(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 1 (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1) (+.f64 (log1p.f64 (exp.f64 x)) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1) (-.f64 1 (log1p.f64 (exp.f64 x))))
(pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) 1/2)
(pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 2)
(pow.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1) (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (log1p.f64 (exp.f64 x))) (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2))
(log.f64 (*.f64 (E.f64) (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (log1p.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)))
(log1p.f64 (expm1.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(fma.f64 1 (log1p.f64 (exp.f64 x)) 1)
(fma.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2) -1)
(fma.f64 (log1p.f64 (exp.f64 x)) 1 1)
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) 1)
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2)) 1)
(fma.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)) -1)
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)) -1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 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)))
(+.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 1 (log.f64 2))
(+.f64 (log.f64 2) 1)
(+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))
(fma.f64 1/2 x (+.f64 (log.f64 2) 1))
(+.f64 (log.f64 2) (fma.f64 1/2 x 1))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (+.f64 (log.f64 2) 1)))
(+.f64 (fma.f64 1/2 x 1) (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(+.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2))) 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 1)))
(+.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 1)
(+.f64 (fma.f64 1/2 x 1) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1))
(log1p.f64 (exp.f64 x))
(+.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 1))
(log1p.f64 (exp.f64 x))
(+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) -1)
(log1p.f64 (exp.f64 x))
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(log1p.f64 (exp.f64 x))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 -1 (+.f64 1 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(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))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 2 (log1p.f64 (exp.f64 x))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 2 (+.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 2 (log1p.f64 (exp.f64 x))))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 2 (log1p.f64 (exp.f64 x)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 2 (log1p.f64 (exp.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x))))) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x)))))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 2 (log1p.f64 (exp.f64 x))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 2 (+.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 2 (log1p.f64 (exp.f64 x))))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x)))))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 2 (log1p.f64 (exp.f64 x)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 2 (log1p.f64 (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 2 (log1p.f64 (exp.f64 x))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 2 (+.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 2 (log1p.f64 (exp.f64 x))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) -1))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 2 (log1p.f64 (exp.f64 x))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 2 (+.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 2 (log1p.f64 (exp.f64 x))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 (log1p.f64 (exp.f64 x)) 2))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 2 (log1p.f64 (exp.f64 x)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 2 (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 2 (log1p.f64 (exp.f64 x))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 2 (+.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2))))
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(fma.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))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.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))) (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))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) 1)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(-.f64 (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 1 (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (log1p.f64 (exp.f64 x))))
(*.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 2))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 -1 (log1p.f64 (exp.f64 x))) 1))
(*.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1) (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 -1 (log1p.f64 (exp.f64 x))) 1))
(/.f64 1 (/.f64 (-.f64 1 (log1p.f64 (exp.f64 x))) (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 -1 (log1p.f64 (exp.f64 x))) 1))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 1 (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 -1 (log1p.f64 (exp.f64 x))) 1))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 -1 (log1p.f64 (exp.f64 x))) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1) (+.f64 (log1p.f64 (exp.f64 x)) -1))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 -1 (log1p.f64 (exp.f64 x))) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (log1p.f64 (exp.f64 x))))
(pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) 1/2)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 3)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 2)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1/3)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(pow.f64 (/.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1) (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) -1)
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 -1 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (/.f64 (-.f64 1 (log1p.f64 (exp.f64 x))) (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) -1)
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(log.f64 (*.f64 (E.f64) (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (log1p.f64 (exp.f64 x))))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(expm1.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)))
(expm1.f64 (log.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x)))) 2))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) 1)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(fma.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2) -1)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(fma.f64 (log1p.f64 (exp.f64 x)) 1 1)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) 1)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) 1)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) 1)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 2 (log1p.f64 (exp.f64 x))))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 2 (+.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)))))
(+.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 2 (log1p.f64 (exp.f64 x)))))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2)) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 2 (log1p.f64 (exp.f64 x)))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 2 (log1p.f64 (exp.f64 x)))))
(fma.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) 1 -1)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)) -1)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)) -1)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) 1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x))))) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) 1)

localize4.0ms (0.1%)

Compiler

Compiled 10 to 4 computations (60% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 16 to 9 computations (43.8% saved)

series5.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(-.f64 (log.f64 2) (*.f64 x y))
1.0ms
y
@0
(-.f64 (log.f64 2) (*.f64 x y))
0.0ms
x
@inf
(-.f64 (log.f64 2) (*.f64 x y))
0.0ms
y
@-inf
(-.f64 (log.f64 2) (*.f64 x y))
0.0ms
y
@inf
(-.f64 (log.f64 2) (*.f64 x y))

rewrite45.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
779×pow1_binary64
725×add-log-exp_binary64
724×log1p-expm1-u_binary64
724×expm1-log1p-u_binary64
710×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11519
219999
Stop Event
node limit
Counts
1 → 37
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 (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 (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 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 (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 (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 (-.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 (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 (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 (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 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 (-.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) (pow.f64 (*.f64 x y) 2)) (+.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 /.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 (+.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 (-.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 pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))) (#(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 pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)))) (#(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 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 y) x)))))) (#(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 log1p.f64 (expm1.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 fma.f64 1 (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)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))))))

simplify51.0ms (0.6%)

Algorithm
egg-herbie
Rules
794×fma-neg_binary64
548×fma-def_binary64
419×associate-/l/_binary64
299×distribute-rgt-neg-in_binary64
224×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0106795
1297735
21159735
34872675
Stop Event
node limit
Counts
61 → 51
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 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.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 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 (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 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (sqrt.f64 (-.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 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.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 (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 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) 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) (pow.f64 (*.f64 x y) 2)) (+.f64 (log.f64 2) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))
(/.f64 (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) 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) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))
(pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 y) x)))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(fma.f64 1 (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)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))
Outputs
(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 x (neg.f64 y))
(*.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 x (neg.f64 y))
(*.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))
(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 x (neg.f64 y))
(*.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 x (neg.f64 y))
(*.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 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.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)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.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)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.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)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(+.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 (log.f64 2) (*.f64 x y)) 1)
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 1 (-.f64 (log.f64 2) (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.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))
(fma.f64 x (neg.f64 y) (log.f64 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))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.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))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y 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))))))
(*.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 x (*.f64 y (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 y (*.f64 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 (log.f64 2) (fma.f64 y x (log.f64 2)) (pow.f64 (*.f64 y x) 2)))
(*.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 (log.f64 2) (*.f64 y x)) 1)
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y 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))))
(*.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 x (*.f64 y (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 y (*.f64 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 (log.f64 2) (fma.f64 y x (log.f64 2)) (pow.f64 (*.f64 y x) 2)))
(/.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 (-.f64 (log.f64 2) (*.f64 y x)) 1)
(/.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 x (*.f64 y (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 y (*.f64 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 (log.f64 2) (fma.f64 y x (log.f64 2)) (pow.f64 (*.f64 y x) 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 (log.f64 2) (*.f64 y x)) 1)
(/.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 x (*.f64 y (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 y (*.f64 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 (log.f64 2) (fma.f64 y x (log.f64 2)) (pow.f64 (*.f64 y x) 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 (-.f64 (log.f64 2) (*.f64 y x)) 1)
(/.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 x (*.f64 y (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 y (*.f64 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 (log.f64 2) (fma.f64 y x (log.f64 2)) (pow.f64 (*.f64 y x) 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 (log.f64 2) (*.f64 y x)) 1)
(pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) 1/3)
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 y) x)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(exp.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(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 (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 (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))

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 24 to 17 computations (29.2% saved)

series4.0ms (0.1%)

Counts
2 → 27
Calls

12 calls:

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

rewrite52.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
864×prod-diff_binary64
596×unpow-prod-down_binary64
435×log-prod_binary64
278×fma-def_binary64
257×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
120017
2262917
Stop Event
node limit
Counts
2 → 87
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1/2 y) x) 1 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 2) 1 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1/2 y) x))))) (#(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 x 1/2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 1/2 y) 1/4))))) (#(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 x (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 1/2 y) 1/4))))) (#(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 pow.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (*.f64 x (neg.f64 y)))))))

simplify63.0ms (0.8%)

Algorithm
egg-herbie
Rules
969×fma-neg_binary64
659×fma-def_binary64
407×log-prod_binary64
397×unswap-sqr_binary64
240×hypot-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02111874
14921573
214821540
362821511
Stop Event
node limit
Counts
114 → 121
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))
(*.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(*.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (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 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (pow.f64 (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) 1))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (pow.f64 (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))
(/.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 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (-.f64 1/2 y) (*.f64 x (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))
(pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)
(pow.f64 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) -1)
(pow.f64 (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))
(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))))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) x) 1 (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 (-.f64 1/2 y) x))
(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 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 (-.f64 1/2 y) x))
(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 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (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))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.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))
(fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2))
(+.f64 0 (*.f64 (-.f64 1/2 y) x))
(+.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 1/2 y) 1/4))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/8 (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))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 1)
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(fma.f64 x 1/2 (*.f64 x (neg.f64 y)))
Outputs
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))
(/.f64 (-.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 1/2)))
(*.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (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 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x (+.f64 y -1/2) (log.f64 2)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (pow.f64 (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) 1))
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x (+.f64 y -1/2) (log.f64 2)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))
(/.f64 (-.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 1/2)))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (pow.f64 (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) 1))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))
(/.f64 (-.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 1/2)))
(*.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2)) (cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2)))
(pow.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2) 1/6) 4)
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(*.f64 (cbrt.f64 (*.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))) 7))) (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 5)) (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x (+.f64 y -1/2) (log.f64 2)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 1 (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))
(/.f64 (-.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 1/2)))
(/.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 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x (+.f64 y -1/2) (log.f64 2)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (-.f64 1/2 y) (*.f64 x (log.f64 2))))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x (+.f64 y -1/2) (log.f64 2)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))
(/.f64 (-.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 1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x (+.f64 y -1/2) (log.f64 2)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))
(/.f64 (-.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 1/2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (fma.f64 x (+.f64 y -1/2) (log.f64 2)))
(pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) 1/2)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) -1)
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x (+.f64 y -1/2) (log.f64 2)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(pow.f64 (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) -1)
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))
(/.f64 (-.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 1/2)))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))) 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))
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.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))
(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))
(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))
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(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 (*.f64 (-.f64 1/2 y) x) 1 (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.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 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 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 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 (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 x) 2) (*.f64 (cbrt.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 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (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 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(+.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 x) (*.f64 (sqrt.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 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.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 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 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 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 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 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)) (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 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 0 (*.f64 (-.f64 1/2 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(*.f64 x (-.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)
(*.f64 x (-.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 1/2 y) 1/4))
(/.f64 x (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) (-.f64 1/8 (pow.f64 y 3))))
(*.f64 (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)) x)
(/.f64 (-.f64 1/8 (pow.f64 y 3)) (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) x))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 x (fma.f64 y (neg.f64 y) 1/4)) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 1/2 y) 1/4))
(/.f64 x (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) (-.f64 1/8 (pow.f64 y 3))))
(*.f64 (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)) x)
(/.f64 (-.f64 1/8 (pow.f64 y 3)) (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) x))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 x (fma.f64 y (neg.f64 y) 1/4)) (+.f64 1/2 y))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 1)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 1/2)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)
(*.f64 x (-.f64 1/2 y))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))
(*.f64 x (-.f64 1/2 y))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))
(*.f64 x (-.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))
(*.f64 x (-.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 x (-.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1))
(*.f64 x (-.f64 1/2 y))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(fma.f64 x 1/2 (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 23 to 13 computations (43.5% saved)

series6.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

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

rewrite64.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
676×prod-diff_binary64
610×unpow-prod-down_binary64
434×log-prod_binary64
276×pow-prod-down_binary64
259×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
118118
2250818
Stop Event
node limit
Counts
2 → 190
Calls
Call 1
Inputs
(log.f64 (+.f64 2 x))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
Outputs
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simplify88.0ms (1.1%)

Algorithm
egg-herbie
Rules
565×fma-neg_binary64
526×distribute-rgt-in_binary64
417×cancel-sign-sub-inv_binary64
292×times-frac_binary64
231×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05033534
112603381
236733349
Stop Event
node limit
Counts
226 → 282
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x))))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(log.f64 (+.f64 2 x))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) 0)
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 x)))) (log.f64 (cbrt.f64 (+.f64 2 x))))
(+.f64 (log.f64 (+.f64 8 (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 x (-.f64 x 2) 4))))
(+.f64 (log.f64 (-.f64 4 (*.f64 x x))) (log.f64 (/.f64 1 (-.f64 2 x))))
(+.f64 0 (log.f64 (+.f64 2 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) (log.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 2 x))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 2 x)))) 1)
(-.f64 (log.f64 (+.f64 8 (pow.f64 x 3))) (log.f64 (fma.f64 x (-.f64 x 2) 4)))
(-.f64 (log.f64 (+.f64 8 (pow.f64 x 3))) (log.f64 (fma.f64 x x (-.f64 4 (*.f64 2 x)))))
(-.f64 (log.f64 (-.f64 4 (*.f64 x x))) (log.f64 (-.f64 2 x)))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (-.f64 x 2) 4) (+.f64 8 (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))))
(-.f64 (log.f64 (neg.f64 (+.f64 8 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x 2) 4))))
(-.f64 (log.f64 (neg.f64 (-.f64 4 (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 2 x))))
(-.f64 (log.f64 (fma.f64 x x -4)) (log.f64 (-.f64 x 2)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (log.f64 (+.f64 2 x)) 1)
(*.f64 1 (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))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 2 x))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2) 3) (cbrt.f64 (log.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 2 x)) (cbrt.f64 (log.f64 (+.f64 2 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (sqrt.f64 (log.f64 (+.f64 2 x)))) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 2 x)))))
(pow.f64 (log.f64 (+.f64 2 x)) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) 1/2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) 2)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) 1/3)
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 2) 4) (+.f64 8 (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))))
(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))))
(log1p.f64 (-.f64 (+.f64 2 x) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 x))) 1))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 -1 (*.f64 x y) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 (+.f64 2 x)))
(+.f64 0 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))
(+.f64 (fma.f64 (log.f64 (+.f64 2 x)) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
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(sqrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 2))
(log.f64 (/.f64 (+.f64 2 x) (pow.f64 (exp.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))
(log.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 2 x) 1)) (pow.f64 (exp.f64 y) x)))
(log.f64 (/.f64 (+.f64 2 x) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(log.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 2 x) 1)) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (+.f64 2 x) 1)) (exp.f64 (*.f64 x (neg.f64 y)))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (+.f64 2 x) 1)) (pow.f64 (exp.f64 y) (neg.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 2 x)))
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 1 (-.f64 (+.f64 2 x) 1))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (neg.f64 x)) (+.f64 1 (-.f64 (+.f64 2 x) 1))))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 1))
(fma.f64 x (neg.f64 y) (log.f64 (+.f64 2 x)))
(fma.f64 (log.f64 (+.f64 2 x)) 1 (*.f64 x (neg.f64 y)))
(fma.f64 (log.f64 (+.f64 2 x)) 1 (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 y (neg.f64 x) (log.f64 (+.f64 2 x)))
(fma.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 1 (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 1 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 1 (log.f64 (+.f64 2 x)) (*.f64 x (neg.f64 y)))
(fma.f64 1 (log.f64 (+.f64 2 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 1 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 1 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 1 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 1 (*.f64 x (neg.f64 y)) (log.f64 (+.f64 2 x)))
(fma.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (neg.f64 (cbrt.f64 (*.f64 x y))) (log.f64 (+.f64 2 x)))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) (log.f64 (+.f64 2 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (neg.f64 x) y (log.f64 (+.f64 2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) 2) (cbrt.f64 (*.f64 x (neg.f64 y))) (log.f64 (+.f64 2 x)))
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (log.f64 (+.f64 2 x)))
(fma.f64 (neg.f64 y) x (log.f64 (+.f64 2 x)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log.f64 (+.f64 2 x)))
(fma.f64 -1 (*.f64 x y) (log.f64 (+.f64 2 x)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (log.f64 (+.f64 2 x)))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log.f64 (+.f64 2 x)))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log.f64 (+.f64 2 x)))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log.f64 (+.f64 2 x)))
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (log.f64 2))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x))
(+.f64 (log.f64 x) (/.f64 2 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 x) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))) (/.f64 8/3 (pow.f64 x 3)))
(+.f64 (+.f64 (log.f64 x) (/.f64 2 x)) (+.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 2 x) (log.f64 -1)))
(-.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 2 x) (log.f64 -1))) (/.f64 2 (*.f64 x x)))
(+.f64 (-.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (log.f64 (/.f64 -1 x))) (/.f64 -2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 2 x) (log.f64 -1))) (/.f64 2 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 8/3 (pow.f64 x 3)) (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))))
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (+.f64 (-.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (log.f64 (/.f64 -1 x))) (/.f64 -2 (*.f64 x x))))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (log.f64 2)))
(fma.f64 (-.f64 1/2 y) x (fma.f64 -1/8 (*.f64 x x) (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (fma.f64 -1/8 (*.f64 x x) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 (-.f64 1/2 y) x (+.f64 (fma.f64 -1/8 (*.f64 x x) (log.f64 2)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 x (-.f64 1/2 y) (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) (log.f64 2))))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 x) (*.f64 x y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (neg.f64 (*.f64 x y)))
(-.f64 (+.f64 (log.f64 x) (/.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 x) (-.f64 (/.f64 2 x) (*.f64 x y)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (neg.f64 (*.f64 x y))) (/.f64 2 (*.f64 x x)))
(+.f64 (-.f64 (+.f64 (log.f64 x) (/.f64 2 x)) (*.f64 x y)) (/.f64 -2 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (/.f64 2 x) (fma.f64 x (neg.f64 y) (/.f64 -2 (*.f64 x x)))))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 -1 (*.f64 y x))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (neg.f64 (*.f64 x y))))
(-.f64 (-.f64 (log.f64 -1) (*.f64 x y)) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x)))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (neg.f64 (*.f64 x y)))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 2 x) (*.f64 x y)))
(+.f64 (log.f64 -1) (-.f64 (-.f64 (/.f64 2 x) (*.f64 x y)) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x))))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (neg.f64 (*.f64 x y))))) (/.f64 2 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (-.f64 (/.f64 2 x) (*.f64 x y)) (/.f64 -2 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 -1) (-.f64 (-.f64 (/.f64 2 x) (*.f64 x y)) (log.f64 (/.f64 -1 x)))) (/.f64 -2 (*.f64 x x)))
(log.f64 (+.f64 2 x))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) 0)
(log.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 (+.f64 8 (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 x (-.f64 x 2) 4))))
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(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(log.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 2 x) 1)) (pow.f64 (exp.f64 y) x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(log.f64 (/.f64 (+.f64 2 x) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(log.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 2 x) 1)) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(log.f64 (*.f64 (+.f64 1 (-.f64 (+.f64 2 x) 1)) (exp.f64 (*.f64 x (neg.f64 y)))))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(log.f64 (*.f64 (+.f64 1 (-.f64 (+.f64 2 x) 1)) (pow.f64 (exp.f64 y) (neg.f64 x))))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 1 (-.f64 (+.f64 2 x) 1))))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (neg.f64 x)) (+.f64 1 (-.f64 (+.f64 2 x) 1))))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 3))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(exp.f64 (log.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 1))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (log.f64 (+.f64 2 x)) 1 (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (log.f64 (+.f64 2 x)) 1 (*.f64 (*.f64 x (neg.f64 y)) 1))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 y (neg.f64 x) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 1 (fma.f64 (neg.f64 y) x (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 1 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 1 (log.f64 (+.f64 2 x)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 1 (log.f64 (+.f64 2 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 1 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 1 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 1 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 1 (*.f64 x (neg.f64 y)) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (*.f64 (*.f64 x (neg.f64 y)) 1))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (neg.f64 (cbrt.f64 (*.f64 x y))) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2)) (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2)) (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2)) (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 (+.f64 2 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 (+.f64 2 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 (+.f64 2 x))))
(fma.f64 (neg.f64 x) y (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) 2) (cbrt.f64 (*.f64 x (neg.f64 y))) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 -1 (*.f64 x y) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.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 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))

eval251.0ms (3.1%)

Compiler

Compiled 15217 to 8231 computations (45.9% saved)

prune151.0ms (1.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New8276833
Fresh011
Picked011
Done224
Total82910839
Error
0b
Counts
839 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
12.5b
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
6.9b
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
16.7b
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
6.4b
(-.f64 (log.f64 2) (*.f64 x y))
26.9b
(+.f64 (*.f64 1/2 x) (log.f64 2))
47.6b
(*.f64 (-.f64 1/2 y) x)
36.6b
(*.f64 x (neg.f64 y))
26.4b
(log1p.f64 (exp.f64 x))
27.5b
(log.f64 (+.f64 2 x))
27.2b
(log.f64 2)
Compiler

Compiled 140 to 113 computations (19.3% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 31 to 24 computations (22.6% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite63.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
513×fma-def_binary64
452×log-prod_binary64
339×exp-prod_binary64
299×fma-neg_binary64
298×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01018
122912
2328212
Stop Event
node limit
Counts
2 → 238
Calls
Call 1
Inputs
(-.f64 (+.f64 (log.f64 2) 1) 1)
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log.f64 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (log.f64 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (log.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 2)) (*.f64 (sqrt.f64 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(+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2))) (cbrt.f64 (*.f64 x y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) y (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log.f64 2))))))

simplify89.0ms (1.1%)

Algorithm
egg-herbie
Rules
698×fma-neg_binary64
560×associate-/l*_binary64
433×unswap-sqr_binary64
419×cancel-sign-sub-inv_binary64
215×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04204049
19713891
232323840
Stop Event
node limit
Counts
262 → 298
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) 0)
(+.f64 1 (+.f64 (log.f64 2) -1))
(+.f64 (+.f64 (log.f64 2) 1) -1)
(+.f64 0 (log.f64 2))
(+.f64 -1 (+.f64 (log.f64 2) 1))
(*.f64 (log.f64 2) 1)
(*.f64 1 (log.f64 2))
(*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (log.f64 2)) 1))
(*.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)))
(*.f64 (sqrt.f64 (log.f64 2)) (*.f64 (sqrt.f64 (log.f64 2)) 1))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 (log.f64 2) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2)) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2))))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (-.f64 1 (*.f64 (+.f64 (log.f64 2) 1) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (+.f64 (log.f64 2) 2))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2))))) (neg.f64 (+.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) 0) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 0 (*.f64 (log.f64 2) 0))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) 0) (log.f64 2))
(pow.f64 (log.f64 2) 1)
(pow.f64 (E.f64) (log.f64 (log.f64 2)))
(pow.f64 (pow.f64 (log.f64 2) 2) 1/2)
(pow.f64 (cbrt.f64 (log.f64 2)) 3)
(pow.f64 (sqrt.f64 (log.f64 2)) 2)
(pow.f64 (pow.f64 (log.f64 2) 3) 1/3)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2)) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3))) -1)
(pow.f64 (/.f64 (+.f64 (log.f64 2) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2))))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 2))) 2)) (cbrt.f64 (log.f64 (log.f64 2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 2)))) (sqrt.f64 (log.f64 (log.f64 2))))
(sqrt.f64 (pow.f64 (log.f64 2) 2))
(log.f64 2)
(cbrt.f64 (pow.f64 (log.f64 2) 3))
(expm1.f64 (log1p.f64 (log.f64 2)))
(expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 1))
(log1p.f64 1)
(exp.f64 (log.f64 (log.f64 2)))
(exp.f64 (*.f64 (log.f64 (log.f64 2)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 2))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 2))) 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 2))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 2)) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 2)) 3) 1/3))
(fma.f64 (log.f64 2) 1 0)
(fma.f64 1 (log.f64 2) 0)
(fma.f64 1 (+.f64 (log.f64 2) 1) -1)
(fma.f64 (+.f64 (log.f64 2) 1) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 (log.f64 2) 1)) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) 1)) 2) (cbrt.f64 (+.f64 (log.f64 2) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (log.f64 2) 1)) 1) -1)
(fma.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (log.f64 2)) 1) 0)
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) (sqrt.f64 (+.f64 (log.f64 2) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) (*.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) 1) -1)
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) 0)
(fma.f64 (sqrt.f64 (log.f64 2)) (*.f64 (sqrt.f64 (log.f64 2)) 1) 0)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2))) 0)
(fma.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (log.f64 2) 2) 1) (log.f64 2))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 (log.f64 2) 2)) 0)
(fma.f64 (+.f64 (pow.f64 (log.f64 2) 2) -1) (/.f64 1 (+.f64 (log.f64 2) -1)) -1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 2)))) 0)
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (log.f64 2) (-.f64 1 (fma.f64 x y 1)))
(+.f64 (log.f64 2) (+.f64 0 (*.f64 x (neg.f64 y))))
(+.f64 1 (-.f64 (log.f64 2) (fma.f64 x y 1)))
(+.f64 (+.f64 (log.f64 2) 1) (neg.f64 (fma.f64 x y 1)))
(+.f64 (+.f64 (log.f64 2) 1) (-.f64 -1 (*.f64 x y)))
(+.f64 (+.f64 (log.f64 2) 1) (+.f64 -1 (*.f64 x (neg.f64 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 x) y (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y)))
(+.f64 0 (-.f64 (log.f64 2) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (pow.f64 (exp.f64 y) x))) 2)) (log.f64 (cbrt.f64 (/.f64 2 (pow.f64 (exp.f64 y) x)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (pow.f64 (exp.f64 y) x)))) (log.f64 (sqrt.f64 (/.f64 2 (pow.f64 (exp.f64 y) x)))))
(*.f64 1 (-.f64 (log.f64 2) (*.f64 x y)))
(*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(*.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2)) (cbrt.f64 (-.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 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 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 1 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (fma.f64 x y (log.f64 2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (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 (fma.f64 x y (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) 1) 3) (pow.f64 (fma.f64 x y 1) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 (+.f64 (log.f64 2) 1) (fma.f64 x y 1)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (pow.f64 (fma.f64 x y 1) 2)) (+.f64 (+.f64 (log.f64 2) 1) (fma.f64 x y 1)))
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(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2))) (cbrt.f64 (*.f64 x y)) (log.f64 2))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log.f64 2))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log.f64 2))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log.f64 2))
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))
(*.f64 x (neg.f64 y))
(*.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))
(*.f64 x (neg.f64 y))
(*.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))
(*.f64 x (neg.f64 y))
(*.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))
(*.f64 x (neg.f64 y))
(*.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) 0)
(log.f64 2)
(+.f64 1 (+.f64 (log.f64 2) -1))
(log.f64 2)
(+.f64 (+.f64 (log.f64 2) 1) -1)
(log.f64 2)
(+.f64 0 (log.f64 2))
(log.f64 2)
(+.f64 -1 (+.f64 (log.f64 2) 1))
(log.f64 2)
(*.f64 (log.f64 2) 1)
(log.f64 2)
(*.f64 1 (log.f64 2))
(log.f64 2)
(*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)))
(*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (log.f64 2)) 1))
(*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)))
(*.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)))
(log.f64 2)
(*.f64 (sqrt.f64 (log.f64 2)) (*.f64 (sqrt.f64 (log.f64 2)) 1))
(log.f64 2)
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 2 (log.f64 2)))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (+.f64 2 (+.f64 (log.f64 2) (pow.f64 (+.f64 (log.f64 2) 1) 2))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 (log.f64 2) 2)))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 2 (log.f64 2))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (+.f64 2 (log.f64 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 2)))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 (log.f64 2) 1))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 1/2)))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (log.f64 2)))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 1/2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2)) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 2 (log.f64 2)))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (+.f64 2 (+.f64 (log.f64 2) (pow.f64 (+.f64 (log.f64 2) 1) 2))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2))))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 2 (log.f64 2))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (+.f64 2 (log.f64 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 2 (log.f64 2)))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (+.f64 2 (+.f64 (log.f64 2) (pow.f64 (+.f64 (log.f64 2) 1) 2))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (-.f64 1 (*.f64 (+.f64 (log.f64 2) 1) -1))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 2 (log.f64 2)))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (+.f64 2 (+.f64 (log.f64 2) (pow.f64 (+.f64 (log.f64 2) 1) 2))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (+.f64 (log.f64 2) 2))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 2 (log.f64 2))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (+.f64 2 (log.f64 2)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 2 (log.f64 2)))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (+.f64 2 (+.f64 (log.f64 2) (pow.f64 (+.f64 (log.f64 2) 1) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2))))) (neg.f64 (+.f64 (log.f64 2) 2)))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 2 (log.f64 2))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (+.f64 2 (log.f64 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) 0) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 0 (*.f64 (log.f64 2) 0))))
(log.f64 2)
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) 0) (log.f64 2))
(log.f64 2)
(pow.f64 (log.f64 2) 1)
(log.f64 2)
(pow.f64 (E.f64) (log.f64 (log.f64 2)))
(log.f64 2)
(pow.f64 (pow.f64 (log.f64 2) 2) 1/2)
(log.f64 2)
(pow.f64 (cbrt.f64 (log.f64 2)) 3)
(log.f64 2)
(pow.f64 (sqrt.f64 (log.f64 2)) 2)
(log.f64 2)
(pow.f64 (pow.f64 (log.f64 2) 3) 1/3)
(log.f64 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2)) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3))) -1)
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 2 (log.f64 2)))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (+.f64 2 (+.f64 (log.f64 2) (pow.f64 (+.f64 (log.f64 2) 1) 2))))
(pow.f64 (/.f64 (+.f64 (log.f64 2) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2))))) -1)
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 2 (log.f64 2))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (+.f64 2 (log.f64 2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 2))) 2)) (cbrt.f64 (log.f64 (log.f64 2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 2)))) (sqrt.f64 (log.f64 (log.f64 2))))
(sqrt.f64 (pow.f64 (log.f64 2) 2))
(log.f64 2)
(log.f64 2)
(cbrt.f64 (pow.f64 (log.f64 2) 3))
(log.f64 2)
(expm1.f64 (log1p.f64 (log.f64 2)))
(log.f64 2)
(expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 1))
(log.f64 2)
(log1p.f64 1)
(exp.f64 (log.f64 (log.f64 2)))
(log.f64 2)
(exp.f64 (*.f64 (log.f64 (log.f64 2)) 1))
(log.f64 2)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 2))) 3))
(log.f64 2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 2))) 2))
(log.f64 2)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 2))) 1/3))
(log.f64 2)
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 2)) 1) 1))
(log.f64 2)
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 2)) 3) 1/3))
(log.f64 2)
(fma.f64 (log.f64 2) 1 0)
(log.f64 2)
(fma.f64 1 (log.f64 2) 0)
(log.f64 2)
(fma.f64 1 (+.f64 (log.f64 2) 1) -1)
(log.f64 2)
(fma.f64 (+.f64 (log.f64 2) 1) 1 -1)
(log.f64 2)
(fma.f64 (cbrt.f64 (+.f64 (log.f64 2) 1)) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) 1)) 2) -1)
(log.f64 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) 1)) 2) (cbrt.f64 (+.f64 (log.f64 2) 1)) -1)
(log.f64 2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (log.f64 2) 1)) 1) -1)
(log.f64 2)
(fma.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)) 0)
(*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) 0)
(*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (log.f64 2)) 1) 0)
(*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) (sqrt.f64 (+.f64 (log.f64 2) 1)) -1)
(log.f64 2)
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) (*.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) 1) -1)
(log.f64 2)
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) 0)
(log.f64 2)
(fma.f64 (sqrt.f64 (log.f64 2)) (*.f64 (sqrt.f64 (log.f64 2)) 1) 0)
(log.f64 2)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2))) 0)
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 2 (log.f64 2)))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (+.f64 2 (+.f64 (log.f64 2) (pow.f64 (+.f64 (log.f64 2) 1) 2))))
(fma.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (log.f64 2) 2) 1) (log.f64 2))) -1)
(fma.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 1 (log.f64 2)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (log.f64 2) 2) (log.f64 2)))) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 2) 2) (log.f64 2)))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 (log.f64 2) 2)) 0)
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 2 (log.f64 2))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (+.f64 2 (log.f64 2)))
(fma.f64 (+.f64 (pow.f64 (log.f64 2) 2) -1) (/.f64 1 (+.f64 (log.f64 2) -1)) -1)
(fma.f64 (+.f64 -1 (pow.f64 (log.f64 2) 2)) (/.f64 1 (+.f64 (log.f64 2) -1)) -1)
(+.f64 -1 (/.f64 (fma.f64 (log.f64 2) (log.f64 2) -1) (+.f64 (log.f64 2) -1)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 2)))) 0)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 (log.f64 2) 1))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 1/2)))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (log.f64 2)))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 1/2)))
(+.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 (log.f64 2) (-.f64 1 (fma.f64 x y 1)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (+.f64 0 (*.f64 x (neg.f64 y))))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 1 (-.f64 (log.f64 2) (fma.f64 x y 1)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (+.f64 (log.f64 2) 1) (neg.f64 (fma.f64 x y 1)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (+.f64 (log.f64 2) 1) (-.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (+.f64 (log.f64 2) 1) (+.f64 -1 (*.f64 x (neg.f64 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 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))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (cbrt.f64 (pow.f64 (*.f64 y x) 2)) (*.f64 y x)))
(+.f64 (-.f64 (log.f64 2) (*.f64 y x)) (-.f64 (*.f64 y x) (*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) 2)) (cbrt.f64 (*.f64 y x)))))
(+.f64 0 (-.f64 (log.f64 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 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (pow.f64 (exp.f64 y) x))) 2)) (log.f64 (cbrt.f64 (/.f64 2 (pow.f64 (exp.f64 y) x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 (pow.f64 (exp.f64 y) x))))) (log.f64 (cbrt.f64 (/.f64 2 (pow.f64 (exp.f64 y) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 2 (pow.f64 (exp.f64 y) x)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (pow.f64 (exp.f64 y) x)))) (log.f64 (sqrt.f64 (/.f64 2 (pow.f64 (exp.f64 y) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 (pow.f64 (exp.f64 y) x)))))
(*.f64 1 (-.f64 (log.f64 2) (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(-.f64 (log.f64 2) (*.f64 y x))
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(-.f64 (fma.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (log.f64 2) 2) (log.f64 2)))) -1) (*.f64 y x))
(-.f64 (/.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 2) 2) (log.f64 2)))) (fma.f64 y x 1))
(fma.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (log.f64 2) 2) 1) (log.f64 2))) (+.f64 -1 (*.f64 x (neg.f64 y))))
(fma.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 1 (log.f64 2)))) (neg.f64 (fma.f64 x y 1)))
(-.f64 (fma.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (log.f64 2) 2) (log.f64 2)))) -1) (*.f64 y x))
(-.f64 (/.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 2) 2) (log.f64 2)))) (fma.f64 y x 1))
(fma.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (log.f64 2) 2) 1) (log.f64 2))) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 1 (log.f64 2)))) (neg.f64 (fma.f64 x y 1)))
(-.f64 (fma.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (log.f64 2) 2) (log.f64 2)))) -1) (*.f64 y x))
(-.f64 (/.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 2) 2) (log.f64 2)))) (fma.f64 y x 1))
(fma.f64 -1 (*.f64 x y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 (log.f64 2) 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 2 (log.f64 2))) (*.f64 x (neg.f64 y)))
(-.f64 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (+.f64 2 (log.f64 2))) (*.f64 y x))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 (log.f64 2) 2)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 2 (log.f64 2))) (*.f64 x (neg.f64 y)))
(-.f64 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (+.f64 2 (log.f64 2))) (*.f64 y x))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 (log.f64 2) 2)) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 2 (log.f64 2))) (*.f64 x (neg.f64 y)))
(-.f64 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (+.f64 2 (log.f64 2))) (*.f64 y x))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 (log.f64 2) 2)) (+.f64 0 (*.f64 x (neg.f64 y))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 2 (log.f64 2))) (*.f64 x (neg.f64 y)))
(-.f64 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (+.f64 2 (log.f64 2))) (*.f64 y x))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log.f64 2)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log.f64 2)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (cbrt.f64 (pow.f64 (*.f64 y x) 2)) (*.f64 y x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (cbrt.f64 (pow.f64 (*.f64 y x) 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 (*.f64 y x) (*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) 2)) (cbrt.f64 (*.f64 y x)))) (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log.f64 2))))
(fma.f64 (+.f64 (pow.f64 (log.f64 2) 2) -1) (/.f64 1 (+.f64 (log.f64 2) -1)) (neg.f64 (fma.f64 x y 1)))
(fma.f64 (+.f64 -1 (pow.f64 (log.f64 2) 2)) (/.f64 1 (+.f64 (log.f64 2) -1)) (neg.f64 (fma.f64 x y 1)))
(fma.f64 (+.f64 -1 (pow.f64 (log.f64 2) 2)) (/.f64 1 (+.f64 (log.f64 2) -1)) (-.f64 -1 (*.f64 y x)))
(-.f64 (/.f64 (fma.f64 (log.f64 2) (log.f64 2) -1) (+.f64 (log.f64 2) -1)) (fma.f64 y x 1))
(fma.f64 (+.f64 (pow.f64 (log.f64 2) 2) -1) (/.f64 1 (+.f64 (log.f64 2) -1)) (-.f64 -1 (*.f64 x y)))
(fma.f64 (+.f64 -1 (pow.f64 (log.f64 2) 2)) (/.f64 1 (+.f64 (log.f64 2) -1)) (neg.f64 (fma.f64 x y 1)))
(fma.f64 (+.f64 -1 (pow.f64 (log.f64 2) 2)) (/.f64 1 (+.f64 (log.f64 2) -1)) (-.f64 -1 (*.f64 y x)))
(-.f64 (/.f64 (fma.f64 (log.f64 2) (log.f64 2) -1) (+.f64 (log.f64 2) -1)) (fma.f64 y x 1))
(fma.f64 (+.f64 (pow.f64 (log.f64 2) 2) -1) (/.f64 1 (+.f64 (log.f64 2) -1)) (+.f64 -1 (*.f64 x (neg.f64 y))))
(fma.f64 (+.f64 -1 (pow.f64 (log.f64 2) 2)) (/.f64 1 (+.f64 (log.f64 2) -1)) (neg.f64 (fma.f64 x y 1)))
(fma.f64 (+.f64 -1 (pow.f64 (log.f64 2) 2)) (/.f64 1 (+.f64 (log.f64 2) -1)) (-.f64 -1 (*.f64 y x)))
(-.f64 (/.f64 (fma.f64 (log.f64 2) (log.f64 2) -1) (+.f64 (log.f64 2) -1)) (fma.f64 y x 1))
(fma.f64 (+.f64 (pow.f64 (log.f64 2) 2) -1) (/.f64 1 (+.f64 (log.f64 2) -1)) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (+.f64 -1 (pow.f64 (log.f64 2) 2)) (/.f64 1 (+.f64 (log.f64 2) -1)) (neg.f64 (fma.f64 x y 1)))
(fma.f64 (+.f64 -1 (pow.f64 (log.f64 2) 2)) (/.f64 1 (+.f64 (log.f64 2) -1)) (-.f64 -1 (*.f64 y x)))
(-.f64 (/.f64 (fma.f64 (log.f64 2) (log.f64 2) -1) (+.f64 (log.f64 2) -1)) (fma.f64 y x 1))
(fma.f64 (neg.f64 x) 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))
(-.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))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 (neg.f64 y) x (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 2)))) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 (log.f64 2) 1))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 1/2)) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (log.f64 2)))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 1/2)) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (log.f64 2)))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 1/2)) (*.f64 y (neg.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 2)))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 (log.f64 2) 1))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 1/2)) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (log.f64 2)))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 1/2)) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (log.f64 2)))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 1/2)) (*.f64 y (neg.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 2)))) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 (log.f64 2) 1))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 1/2)) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (log.f64 2)))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 1/2)) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (log.f64 2)))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 1/2)) (*.f64 y (neg.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 2)))) (+.f64 0 (*.f64 x (neg.f64 y))))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 (log.f64 2) 1))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 1/2)) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (log.f64 2)))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 1/2)) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (log.f64 2)))) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 1/2)) (*.f64 y (neg.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (cbrt.f64 (pow.f64 (*.f64 y x) 2)) (*.f64 y x)))
(+.f64 (-.f64 (log.f64 2) (*.f64 y x)) (-.f64 (*.f64 y x) (*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) 2)) (cbrt.f64 (*.f64 y x)))))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2))) (cbrt.f64 (*.f64 x y)) (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 y x) 2)) (neg.f64 (cbrt.f64 (*.f64 y x))) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) 2)) (cbrt.f64 (*.f64 y x))))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

localize4.0ms (0.1%)

Compiler

Compiled 5 to 5 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 8 computations (27.3% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 16 to 13 computations (18.8% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite43.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
728×pow1_binary64
681×add-log-exp_binary64
680×log1p-expm1-u_binary64
680×expm1-log1p-u_binary64
668×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11507
218707
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 x) (log.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))) (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 1/2 (*.f64 x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x x) 1/4)) (-.f64 (log.f64 2) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))))))

simplify41.0ms (0.5%)

Algorithm
egg-herbie
Rules
528×fma-neg_binary64
429×associate-/r*_binary64
412×cancel-sign-sub-inv_binary64
394×associate-*l*_binary64
351×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
091674
1233587
2730481
34028481
Stop Event
node limit
Counts
38 → 44
Calls
Call 1
Inputs
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)
(-.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 1)
(-.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2))))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))) (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 1/2 (*.f64 x (log.f64 2))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x x) 1/4)) (-.f64 (log.f64 2) (*.f64 1/2 x)))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))
Outputs
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)
(-.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 1)
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(-.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) 1) (fma.f64 (*.f64 x x) 1/4 (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (*.f64 x (*.f64 x 1/4))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))) (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) 1) (fma.f64 (*.f64 x x) 1/4 (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) 1) (fma.f64 (*.f64 x x) 1/4 (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 1/2 (*.f64 x (log.f64 2))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) 1) (fma.f64 (*.f64 x x) 1/4 (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) 1) (fma.f64 (*.f64 x x) 1/4 (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x x) 1/4)) (-.f64 (log.f64 2) (*.f64 1/2 x)))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 x 1/2 (log.f64 2))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 x))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))

eval158.0ms (2%)

Compiler

Compiled 6987 to 5019 computations (28.2% saved)

prune79.0ms (1%)

Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New4603463
Fresh022
Picked011
Done077
Total46013473
Error
0b
Counts
473 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
55.6b
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
12.5b
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
6.9b
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
16.7b
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
6.4b
(-.f64 (log.f64 2) (*.f64 x y))
26.9b
(+.f64 (*.f64 1/2 x) (log.f64 2))
55.6b
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
47.6b
(*.f64 (-.f64 1/2 y) x)
36.6b
(*.f64 x (neg.f64 y))
61.6b
(*.f64 1/2 x)
26.4b
(log1p.f64 (exp.f64 x))
27.5b
(log.f64 (+.f64 2 x))
27.2b
(log.f64 2)
Compiler

Compiled 165 to 126 computations (23.6% saved)

localize27.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 51 to 40 computations (21.6% saved)

series3.0ms (0%)

Counts
3 → 45
Calls

12 calls:

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

rewrite73.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
660×log-prod_binary64
492×fma-neg_binary64
258×expm1-udef_binary64
258×log1p-udef_binary64
255×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01342
130230
2438630
Stop Event
node limit
Counts
3 → 202
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1)
(+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 2)) (fma.f64 1/2 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 2)) (+.f64 (*.f64 1/2 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x 1) (-.f64 (log.f64 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x 1) (+.f64 (log.f64 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2)) (cbrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2)))) (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))) (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (/.f64 1 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (-.f64 1 (*.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))))) (neg.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (*.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (-.f64 (+.f64 1 (log.f64 2)) (*.f64 1/2 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (/.f64 1 (-.f64 (fma.f64 1/2 x -1) (log.f64 2))) -1)))))
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simplify93.0ms (1.2%)

Algorithm
egg-herbie
Rules
889×fma-neg_binary64
550×unswap-sqr_binary64
470×times-frac_binary64
280×fma-def_binary64
193×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04504077
111593901
241533899
Stop Event
node limit
Counts
247 → 279
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 1 (log.f64 2))
(*.f64 1/2 x)
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(*.f64 1/2 x)
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (+.f64 1/2 (*.f64 -1 y)) x)
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.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 1/2 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (+.f64 1 (log.f64 2)) (fma.f64 1/2 x -1))
(+.f64 (+.f64 1 (log.f64 2)) (+.f64 (*.f64 1/2 x) -1))
(+.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) -1)
(+.f64 0 (fma.f64 1/2 x (log.f64 2)))
(+.f64 -1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))
(+.f64 (fma.f64 1/2 x 1) (-.f64 (log.f64 2) 1))
(+.f64 (fma.f64 1/2 x 1) (+.f64 (log.f64 2) -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2)) (cbrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2)))) (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))) (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))))
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (/.f64 1 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (-.f64 1 (*.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))))) (neg.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (log.f64 2)))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 1/2)))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))))) -1)
(pow.f64 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))))) -1)
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(log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))) (exp.f64 (*.f64 y (neg.f64 x)))))
(log.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2) (/.f64 1 (pow.f64 (exp.f64 y) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))) (/.f64 1 (pow.f64 (exp.f64 y) x))))
(log.f64 (*.f64 (exp.f64 (*.f64 y (neg.f64 x))) (*.f64 (pow.f64 (exp.f64 1/2) x) 2)))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 y) x)) (*.f64 (pow.f64 (exp.f64 1/2) x) 2)))
(log.f64 (*.f64 (exp.f64 (*.f64 y (neg.f64 x))) (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 y) x)) (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) 1))
(fma.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))
(fma.f64 1 (fma.f64 1/2 x (log.f64 2)) (*.f64 y (neg.f64 x)))
(fma.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 1 (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 1 (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))
(fma.f64 (fma.f64 1/2 x (log.f64 2)) 1 (*.f64 y (neg.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (*.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (*.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))
(fma.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 y (neg.f64 x)))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))) (*.f64 y (neg.f64 x)))
(fma.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (-.f64 (+.f64 1 (log.f64 2)) (*.f64 1/2 x))))) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (-.f64 (+.f64 1 (log.f64 2)) (*.f64 1/2 x))))) (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (/.f64 1 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) (*.f64 y (neg.f64 x)))
(fma.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (/.f64 1 (-.f64 (fma.f64 1/2 x -1) (log.f64 2))) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (/.f64 1 (-.f64 (fma.f64 1/2 x -1) (log.f64 2))) (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (*.f64 y (neg.f64 x)))
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 1 (log.f64 2))
(+.f64 (log.f64 2) 1)
(*.f64 1/2 x)
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (fma.f64 1/2 x (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 1/2 x 1))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (fma.f64 1/2 x (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 1/2 x 1))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (fma.f64 1/2 x (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 1/2 x 1))
(*.f64 1/2 x)
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (fma.f64 1/2 x (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 1/2 x 1))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (fma.f64 1/2 x (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 1/2 x 1))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (fma.f64 1/2 x (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 1/2 x 1))
(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) (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) (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 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (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) (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 1/2 (*.f64 -1 y)) x)
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (+.f64 1 (log.f64 2)) (fma.f64 1/2 x -1))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (+.f64 1 (log.f64 2)) (+.f64 (*.f64 1/2 x) -1))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) -1)
(fma.f64 1/2 x (log.f64 2))
(+.f64 0 (fma.f64 1/2 x (log.f64 2)))
(fma.f64 1/2 x (log.f64 2))
(+.f64 -1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (fma.f64 1/2 x 1) (-.f64 (log.f64 2) 1))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (fma.f64 1/2 x 1) (+.f64 (log.f64 2) -1))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2)) (cbrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2)))) (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))) (cbrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))))) (log.f64 (cbrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))))) (log.f64 (cbrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2))))) (log.f64 (cbrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))) (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))))
(*.f64 2 (log.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))))
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(fma.f64 1/2 x (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (+.f64 1 (+.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 (log.f64 2) (+.f64 1 (fma.f64 1/2 x 1)))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (/.f64 1 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (+.f64 (log.f64 2) (+.f64 (fma.f64 1/2 x 1) 1)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (+.f64 (log.f64 2) (+.f64 1 (fma.f64 1/2 x 1))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (+.f64 1 (+.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 (log.f64 2) (+.f64 1 (fma.f64 1/2 x 1)))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (/.f64 1 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (+.f64 (log.f64 2) (+.f64 (fma.f64 1/2 x 1) 1)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (+.f64 (log.f64 2) (+.f64 1 (fma.f64 1/2 x 1))))
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(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 1 (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 1 (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (fma.f64 1/2 x (log.f64 2)) 1 (*.f64 y (neg.f64 x)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (*.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (*.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (*.f64 y (neg.f64 x)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 y (neg.f64 x)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 y (neg.f64 x)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))) (*.f64 y (neg.f64 x)))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))) (*.f64 (neg.f64 y) x))
(-.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (+.f64 1 (+.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2)))) (*.f64 x y))
(-.f64 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 (log.f64 2) (+.f64 1 (fma.f64 1/2 x 1))))) (*.f64 x y))
(fma.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (-.f64 (+.f64 1 (log.f64 2)) (*.f64 1/2 x))))) (neg.f64 (+.f64 1 (*.f64 x y))))
(+.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (+.f64 (log.f64 2) 1) 3)) (fma.f64 1/4 (*.f64 x x) (*.f64 (+.f64 (log.f64 2) 1) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 x)))))) (-.f64 -1 (*.f64 x y)))
(-.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (+.f64 (log.f64 2) 1) 3)) (fma.f64 (+.f64 (log.f64 2) 1) (+.f64 1 (+.f64 (log.f64 2) (*.f64 x -1/2))) (*.f64 x (*.f64 x 1/4)))) (fma.f64 x y 1))
(-.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (+.f64 (log.f64 2) 1) 3)) (fma.f64 (+.f64 (log.f64 2) 1) (+.f64 (log.f64 2) (+.f64 1 (*.f64 x -1/2))) (*.f64 x (*.f64 x 1/4)))) (fma.f64 x y 1))
(fma.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (-.f64 (+.f64 1 (log.f64 2)) (*.f64 1/2 x))))) (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))
(+.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (+.f64 (log.f64 2) 1) 3)) (fma.f64 1/4 (*.f64 x x) (*.f64 (+.f64 (log.f64 2) 1) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 x)))))) (-.f64 -1 (*.f64 x y)))
(-.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (+.f64 (log.f64 2) 1) 3)) (fma.f64 (+.f64 (log.f64 2) 1) (+.f64 1 (+.f64 (log.f64 2) (*.f64 x -1/2))) (*.f64 x (*.f64 x 1/4)))) (fma.f64 x y 1))
(-.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (+.f64 (log.f64 2) 1) 3)) (fma.f64 (+.f64 (log.f64 2) 1) (+.f64 (log.f64 2) (+.f64 1 (*.f64 x -1/2))) (*.f64 x (*.f64 x 1/4)))) (fma.f64 x y 1))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (/.f64 1 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) (*.f64 y (neg.f64 x)))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (/.f64 1 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) (*.f64 (neg.f64 y) x))
(-.f64 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (+.f64 (log.f64 2) (+.f64 (fma.f64 1/2 x 1) 1))) (*.f64 x y))
(-.f64 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (+.f64 (log.f64 2) (+.f64 1 (fma.f64 1/2 x 1)))) (*.f64 x y))
(fma.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (/.f64 1 (-.f64 (fma.f64 1/2 x -1) (log.f64 2))) (neg.f64 (+.f64 1 (*.f64 x y))))
(+.f64 (/.f64 (-.f64 (*.f64 (*.f64 1/4 x) x) (pow.f64 (+.f64 (log.f64 2) 1) 2)) (-.f64 (fma.f64 1/2 x -1) (log.f64 2))) (-.f64 -1 (*.f64 x y)))
(-.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (+.f64 (log.f64 2) 1) 2)) (-.f64 (fma.f64 1/2 x -1) (log.f64 2))) (fma.f64 x y 1))
(-.f64 (/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (+.f64 (log.f64 2) 1) 2)) (+.f64 (neg.f64 (fma.f64 1/2 x -1)) (log.f64 2))) (fma.f64 x y 1))
(fma.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (/.f64 1 (-.f64 (fma.f64 1/2 x -1) (log.f64 2))) (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))
(+.f64 (/.f64 (-.f64 (*.f64 (*.f64 1/4 x) x) (pow.f64 (+.f64 (log.f64 2) 1) 2)) (-.f64 (fma.f64 1/2 x -1) (log.f64 2))) (-.f64 -1 (*.f64 x y)))
(-.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (+.f64 (log.f64 2) 1) 2)) (-.f64 (fma.f64 1/2 x -1) (log.f64 2))) (fma.f64 x y 1))
(-.f64 (/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (+.f64 (log.f64 2) 1) 2)) (+.f64 (neg.f64 (fma.f64 1/2 x -1)) (log.f64 2))) (fma.f64 x y 1))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (*.f64 y (neg.f64 x)))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (*.f64 (neg.f64 y) x))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (*.f64 x (neg.f64 y)))

localize4.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (+.f64 1/2 y))
13.1b
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
Compiler

Compiled 33 to 18 computations (45.5% saved)

series7.0ms (0.1%)

Counts
2 → 36
Calls

12 calls:

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

rewrite56.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
537×log-prod_binary64
364×pow-prod-down_binary64
296×pow2_binary64
205×pow1/3_binary64
202×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
123017
2319517
Stop Event
node limit
Counts
2 → 96
Calls
Call 1
Inputs
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 x (+.f64 1/2 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) 1/4) (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (+.f64 1/2 y) (fma.f64 y (neg.f64 y) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 (+.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/2 y) (*.f64 x (fma.f64 y (neg.f64 y) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/64 (pow.f64 y 6)) (*.f64 (/.f64 (+.f64 1/2 y) x) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/16 (pow.f64 y 4)) (*.f64 (/.f64 (+.f64 1/2 y) x) (fma.f64 y y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 y (neg.f64 y) 1/4)) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (fma.f64 y (neg.f64 y) 1/4))) (fma.f64 -1 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/64 (pow.f64 y 6))) (*.f64 (+.f64 1/2 y) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (-.f64 1/64 (pow.f64 y 6))) (*.f64 (fma.f64 -1 y -1/2) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)))))) 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simplify56.0ms (0.7%)

Algorithm
egg-herbie
Rules
970×fma-def_binary64
783×times-frac_binary64
545×distribute-rgt-in_binary64
342×unswap-sqr_binary64
171×log-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02901972
17311828
228051788
Stop Event
node limit
Counts
132 → 172
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 -4 (*.f64 y x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 -4 (*.f64 y x)) (*.f64 8 (*.f64 (pow.f64 y 2) x))))
(+.f64 (*.f64 -16 (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -4 (*.f64 y x)) (*.f64 8 (*.f64 (pow.f64 y 2) x)))))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (pow.f64 y 2))))
(+.f64 (*.f64 1/4 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (pow.f64 y 2)))))
(+.f64 (*.f64 1/4 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 y 2))) (*.f64 -1/8 (/.f64 x (pow.f64 y 4))))))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (pow.f64 y 2))))
(+.f64 (*.f64 1/4 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (pow.f64 y 2)))))
(+.f64 (*.f64 1/4 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 y 2))) (*.f64 -1/8 (/.f64 x (pow.f64 y 4))))))
(+.f64 0 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))
(+.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 x (+.f64 1/2 y))))
(+.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) 1/4) (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y (neg.f64 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))) 1)
(/.f64 x (/.f64 (+.f64 1/2 y) (fma.f64 y (neg.f64 y) 1/4)))
(/.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 (+.f64 1/2 y) x))
(/.f64 1 (/.f64 (+.f64 1/2 y) (*.f64 x (fma.f64 y (neg.f64 y) 1/4))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (*.f64 (/.f64 (+.f64 1/2 y) x) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (*.f64 (/.f64 (+.f64 1/2 y) x) (fma.f64 y y 1/4)))
(/.f64 (*.f64 x (fma.f64 y (neg.f64 y) 1/4)) (+.f64 1/2 y))
(/.f64 (neg.f64 (*.f64 x (fma.f64 y (neg.f64 y) 1/4))) (fma.f64 -1 y -1/2))
(/.f64 (*.f64 x (-.f64 1/64 (pow.f64 y 6))) (*.f64 (+.f64 1/2 y) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)))
(/.f64 (*.f64 (neg.f64 x) (-.f64 1/64 (pow.f64 y 6))) (*.f64 (fma.f64 -1 y -1/2) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)))
(/.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (*.f64 (+.f64 1/2 y) (fma.f64 y y 1/4)))
(/.f64 (*.f64 (neg.f64 x) (-.f64 1/16 (pow.f64 y 4))) (*.f64 (fma.f64 -1 y -1/2) (fma.f64 y y 1/4)))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) x) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) x) (*.f64 (fma.f64 y y 1/4) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) 1) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (/.f64 (+.f64 1/2 y) x)))
(/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) 1) (*.f64 (fma.f64 y y 1/4) (/.f64 (+.f64 1/2 y) x)))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) (neg.f64 x)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (fma.f64 -1 y -1/2)))
(/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) (neg.f64 x)) (*.f64 (fma.f64 y y 1/4) (fma.f64 -1 y -1/2)))
(/.f64 (/.f64 (*.f64 x (fma.f64 y (neg.f64 y) 1/4)) 1) (+.f64 1/2 y))
(/.f64 (/.f64 (*.f64 x (fma.f64 y (neg.f64 y) 1/4)) (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2))) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (/.f64 (*.f64 x (fma.f64 y (neg.f64 y) 1/4)) (sqrt.f64 (+.f64 1/2 y))) (sqrt.f64 (+.f64 1/2 y)))
(/.f64 (*.f64 (neg.f64 x) (fma.f64 y (neg.f64 y) 1/4)) (fma.f64 -1 y -1/2))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) (/.f64 x (+.f64 1/2 y))) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))
(/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) (/.f64 x (+.f64 1/2 y))) (fma.f64 y y 1/4))
(/.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/64 (pow.f64 y 6))) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))
(/.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/16 (pow.f64 y 4))) (fma.f64 y y 1/4))
(/.f64 (*.f64 (fma.f64 y (neg.f64 y) 1/4) (neg.f64 x)) (fma.f64 -1 y -1/2))
(pow.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))) 2)
(pow.f64 (/.f64 (+.f64 1/2 y) (*.f64 x (fma.f64 y (neg.f64 y) 1/4))) -1)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))) 2))
(fma.f64 (/.f64 x (+.f64 1/2 y)) 1/4 (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y (neg.f64 y))))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 x (+.f64 1/2 y))))
(+.f64 0 (/.f64 x (+.f64 1/2 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1/2 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1/2 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1/2 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1/2 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1/2 y)))) 1)
(*.f64 x (/.f64 1 (+.f64 1/2 y)))
(*.f64 (/.f64 x (+.f64 1/2 y)) 1)
(*.f64 1 (/.f64 x (+.f64 1/2 y)))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1/2 y))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1/2 y))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 2)) (cbrt.f64 (/.f64 x (+.f64 1/2 y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1/2 y))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1/2 y))) (sqrt.f64 (/.f64 x (+.f64 1/2 y))))
(*.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 y -1/2)))
(*.f64 (/.f64 1 (+.f64 1/2 y)) x)
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 1/2 y)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1/2 y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) -2) (/.f64 x (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2))) (cbrt.f64 (/.f64 x (+.f64 1/2 y))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1/2 y) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (pow.f64 (+.f64 1/2 y) -1/2) (/.f64 x (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 1/2 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 x (fma.f64 y (neg.f64 y) 1/4)) (-.f64 1/2 y))
(*.f64 (/.f64 x (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4))
(pow.f64 (/.f64 x (+.f64 1/2 y)) 1)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1/2 y))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1/2 y))) 2)
(pow.f64 (/.f64 (+.f64 1/2 y) x) -1)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 1/2 y) x) 1) -1)
(neg.f64 (/.f64 x (fma.f64 -1 y -1/2)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1/2 y))))
(log1p.f64 (expm1.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))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 1/2 y)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1/2 y)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/2 y) x)) -1))
Outputs
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 -4 (*.f64 y x)))
(fma.f64 2 x (*.f64 (*.f64 y x) -4))
(*.f64 x (+.f64 2 (*.f64 y -4)))
(*.f64 x (fma.f64 y -4 2))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 -4 (*.f64 y x)) (*.f64 8 (*.f64 (pow.f64 y 2) x))))
(fma.f64 2 x (fma.f64 -4 (*.f64 y x) (*.f64 8 (*.f64 x (*.f64 y y)))))
(fma.f64 2 x (*.f64 x (+.f64 (*.f64 y -4) (*.f64 8 (*.f64 y y)))))
(*.f64 x (+.f64 2 (*.f64 y (+.f64 -4 (*.f64 8 y)))))
(+.f64 (*.f64 -16 (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -4 (*.f64 y x)) (*.f64 8 (*.f64 (pow.f64 y 2) x)))))
(fma.f64 -16 (*.f64 x (pow.f64 y 3)) (fma.f64 2 x (fma.f64 -4 (*.f64 y x) (*.f64 8 (*.f64 x (*.f64 y y))))))
(fma.f64 -16 (*.f64 x (pow.f64 y 3)) (fma.f64 2 x (*.f64 x (+.f64 (*.f64 y -4) (*.f64 8 (*.f64 y y))))))
(*.f64 x (+.f64 (fma.f64 -16 (pow.f64 y 3) 2) (*.f64 y (+.f64 (*.f64 8 y) -4))))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (*.f64 y y))))
(fma.f64 -1/2 (/.f64 x (*.f64 y y)) (/.f64 x y))
(*.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y))
(+.f64 (*.f64 1/4 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (pow.f64 y 2)))))
(fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (*.f64 y y)))))
(fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (fma.f64 -1/2 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(+.f64 (/.f64 x y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y))))
(+.f64 (*.f64 1/4 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 y 2))) (*.f64 -1/8 (/.f64 x (pow.f64 y 4))))))
(fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (fma.f64 -1/2 (/.f64 x (*.f64 y y)) (*.f64 -1/8 (/.f64 x (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/2 (/.f64 x (*.f64 y y)) (*.f64 -1/8 (/.f64 x (pow.f64 y 4)))) (fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (/.f64 x y)))
(fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (fma.f64 -1/8 (/.f64 x (pow.f64 y 4)) (*.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y))))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (*.f64 y y))))
(fma.f64 -1/2 (/.f64 x (*.f64 y y)) (/.f64 x y))
(*.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y))
(+.f64 (*.f64 1/4 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (pow.f64 y 2)))))
(fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (*.f64 y y)))))
(fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (fma.f64 -1/2 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(+.f64 (/.f64 x y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y))))
(+.f64 (*.f64 1/4 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 y 2))) (*.f64 -1/8 (/.f64 x (pow.f64 y 4))))))
(fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (fma.f64 -1/2 (/.f64 x (*.f64 y y)) (*.f64 -1/8 (/.f64 x (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/2 (/.f64 x (*.f64 y y)) (*.f64 -1/8 (/.f64 x (pow.f64 y 4)))) (fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (/.f64 x y)))
(fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (fma.f64 -1/8 (/.f64 x (pow.f64 y 4)) (*.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y))))
(+.f64 0 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 x (+.f64 1/2 y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(+.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) 1/4) (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y (neg.f64 y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))) 1)
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(/.f64 x (/.f64 (+.f64 1/2 y) (fma.f64 y (neg.f64 y) 1/4)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 (+.f64 1/2 y) x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(/.f64 1 (/.f64 (+.f64 1/2 y) (*.f64 x (fma.f64 y (neg.f64 y) 1/4))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (*.f64 (/.f64 (+.f64 1/2 y) x) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)))
(*.f64 (/.f64 x (+.f64 y 1/2)) (/.f64 (-.f64 1/64 (pow.f64 y 6)) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)))
(*.f64 x (/.f64 (-.f64 1/64 (pow.f64 y 6)) (*.f64 (+.f64 y 1/2) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (*.f64 (/.f64 (+.f64 1/2 y) x) (fma.f64 y y 1/4)))
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(*.f64 (/.f64 x (*.f64 (+.f64 y 1/2) (fma.f64 y y 1/4))) (-.f64 1/16 (pow.f64 y 4)))
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(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 y 1/2)) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (+.f64 y 1/2)))
(*.f64 (/.f64 x (fma.f64 y (neg.f64 y) 1/4)) (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) (/.f64 x (fma.f64 y (neg.f64 y) 1/4)))
(*.f64 (-.f64 1/2 y) (/.f64 x (-.f64 1/4 (*.f64 y y))))
(*.f64 (/.f64 x (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4))
(/.f64 (*.f64 x (fma.f64 y (+.f64 y -1/2) 1/4)) (+.f64 (pow.f64 y 3) 1/8))
(/.f64 x (/.f64 (+.f64 (pow.f64 y 3) 1/8) (fma.f64 y (+.f64 y -1/2) 1/4)))
(pow.f64 (/.f64 x (+.f64 1/2 y)) 1)
(/.f64 x (+.f64 y 1/2))
(pow.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 2) 1/2)
(/.f64 x (+.f64 y 1/2))
(pow.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 3) 1/3)
(/.f64 x (+.f64 y 1/2))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1/2 y))) 3)
(/.f64 x (+.f64 y 1/2))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1/2 y))) 2)
(/.f64 x (+.f64 y 1/2))
(pow.f64 (/.f64 (+.f64 1/2 y) x) -1)
(/.f64 x (+.f64 y 1/2))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3)) 1/3)
(/.f64 x (+.f64 y 1/2))
(pow.f64 (/.f64 (/.f64 (+.f64 1/2 y) x) 1) -1)
(/.f64 x (+.f64 y 1/2))
(neg.f64 (/.f64 x (fma.f64 -1 y -1/2)))
(*.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 y -1/2)))
(/.f64 (neg.f64 x) (fma.f64 -1 y -1/2))
(/.f64 (neg.f64 x) (-.f64 -1/2 y))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 2))
(/.f64 x (+.f64 y 1/2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1/2 y))))
(/.f64 x (+.f64 y 1/2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1/2 y)))))
(/.f64 x (+.f64 y 1/2))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 3))
(/.f64 x (+.f64 y 1/2))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3)))
(/.f64 x (+.f64 y 1/2))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1/2 y))))
(/.f64 x (+.f64 y 1/2))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1/2 y))))
(/.f64 x (+.f64 y 1/2))
(exp.f64 (log.f64 (/.f64 x (+.f64 1/2 y))))
(/.f64 x (+.f64 y 1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 1/2 y))) 1))
(/.f64 x (+.f64 y 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 3)) 1/3))
(/.f64 x (+.f64 y 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 1/2 y)))) 3))
(/.f64 x (+.f64 y 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1/2 y)))) 2))
(/.f64 x (+.f64 y 1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/2 y) x)) -1))
(/.f64 x (+.f64 y 1/2))

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
10.6b
(/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y)))
Compiler

Compiled 37 to 20 computations (45.9% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite57.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
581×log-prod_binary64
337×pow-prod-down_binary64
303×pow2_binary64
209×pow1/3_binary64
206×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01029
123614
2343414
Stop Event
node limit
Counts
2 → 94
Calls
Call 1
Inputs
(/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 y) (/.f64 1 (fma.f64 y (neg.f64 y) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2)) (/.f64 1 (cbrt.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (+.f64 1/2 y)) (/.f64 1 (fma.f64 y (neg.f64 y) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1/2 y) -1/2) (pow.f64 (-.f64 1/2 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/2 y)) (*.f64 (sqrt.f64 (+.f64 1/2 y)) (/.f64 1 (fma.f64 y (neg.f64 y) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 y -1/2) (/.f64 1 (neg.f64 (fma.f64 y (neg.f64 y) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 y (neg.f64 y) 1/4)) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1/2 y)) (fma.f64 y (neg.f64 y) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1/2 y)) 1) (/.f64 (sqrt.f64 (+.f64 1/2 y)) (fma.f64 y (neg.f64 y) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4)) -2) (/.f64 (+.f64 1/2 y) (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1/2 y)) (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4)) 2)) (/.f64 (sqrt.f64 (+.f64 1/2 y)) (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y (neg.f64 y) 1/4) -1/2) (/.f64 (+.f64 1/2 y) (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4))) (/.f64 (cbrt.f64 (+.f64 1/2 y)) (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/64 (pow.f64 y 6))) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/16 (pow.f64 y 4))) (fma.f64 y y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1/2 y) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1/2 y) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1/2 y) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/2 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 1/2 y) 3) (pow.f64 (fma.f64 y (neg.f64 y) 1/4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1/2 y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1/2 y) (neg.f64 (fma.f64 y (neg.f64 y) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1/2 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1/2 y) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1/2 y) 3) (pow.f64 (fma.f64 y (neg.f64 y) 1/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 1/2 y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) 1/4) (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))))) (#(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 (fma.f64 y (neg.f64 y) 1/4) (/.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (-.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)) (fma.f64 y (neg.f64 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (+.f64 1/2 y)) (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 y (neg.f64 y) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1/2 y)) (/.f64 x (/.f64 1 (fma.f64 y (neg.f64 y) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1/2 y)) (/.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 y (neg.f64 y) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) (/.f64 x (/.f64 1 (cbrt.f64 (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) (/.f64 (sqrt.f64 x) (/.f64 1 (cbrt.f64 (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (-.f64 1/2 y)) -1/2) (/.f64 x (pow.f64 (-.f64 1/2 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (-.f64 1/2 y) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (-.f64 1/2 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 -1 y -1/2)) (neg.f64 (fma.f64 y (neg.f64 y) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) 1) (fma.f64 y (neg.f64 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4)) 2)) (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4))) (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (-.f64 1/2 y)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 1 (-.f64 1/2 y)) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 -1 (-.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 cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 1/2 y)) 1/4 (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y (neg.f64 y))))))))

simplify53.0ms (0.7%)

Algorithm
egg-herbie
Rules
737×associate-/l*_binary64
469×associate-*l/_binary64
465×associate-/r*_binary64
451×fma-def_binary64
370×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02751767
16951552
221291540
Stop Event
node limit
Counts
130 → 157
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 4 y))
(+.f64 2 (+.f64 (*.f64 4 y) (*.f64 8 (pow.f64 y 2))))
(+.f64 2 (+.f64 (*.f64 4 y) (+.f64 (*.f64 8 (pow.f64 y 2)) (*.f64 16 (pow.f64 y 3)))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 y 4))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3)))))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 y 4))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3)))))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 0 (/.f64 1 (-.f64 1/2 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1/2 y)))) 1)
(*.f64 (+.f64 1/2 y) (/.f64 1 (fma.f64 y (neg.f64 y) 1/4)))
(*.f64 (/.f64 1 (-.f64 1/2 y)) 1)
(*.f64 1 (/.f64 1 (-.f64 1/2 y)))
(*.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 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (+.f64 1/2 y)) (/.f64 1 (fma.f64 y (neg.f64 y) 1/4))))
(*.f64 (pow.f64 (-.f64 1/2 y) -1/2) (pow.f64 (-.f64 1/2 y) -1/2))
(*.f64 (sqrt.f64 (+.f64 1/2 y)) (*.f64 (sqrt.f64 (+.f64 1/2 y)) (/.f64 1 (fma.f64 y (neg.f64 y) 1/4))))
(*.f64 (fma.f64 -1 y -1/2) (/.f64 1 (neg.f64 (fma.f64 y (neg.f64 y) 1/4))))
(*.f64 (/.f64 1 (fma.f64 y (neg.f64 y) 1/4)) (+.f64 1/2 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1/2 y)) (fma.f64 y (neg.f64 y) 1/4)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 y)) 1) (/.f64 (sqrt.f64 (+.f64 1/2 y)) (fma.f64 y (neg.f64 y) 1/4)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4)) -2) (/.f64 (+.f64 1/2 y) (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1/2 y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 y)) (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4)) 2)) (/.f64 (sqrt.f64 (+.f64 1/2 y)) (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4))))
(*.f64 (pow.f64 (fma.f64 y (neg.f64 y) 1/4) -1/2) (/.f64 (+.f64 1/2 y) (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4))) (/.f64 (cbrt.f64 (+.f64 1/2 y)) (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4))))
(*.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/64 (pow.f64 y 6))) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))
(*.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/16 (pow.f64 y 4))) (fma.f64 y y 1/4))
(pow.f64 (/.f64 1 (-.f64 1/2 y)) 1)
(pow.f64 (pow.f64 (-.f64 1/2 y) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 1/2 y) -3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (-.f64 1/2 y) -1/2) 2)
(pow.f64 (-.f64 1/2 y) -1)
(pow.f64 (/.f64 (pow.f64 (+.f64 1/2 y) 3) (pow.f64 (fma.f64 y (neg.f64 y) 1/4) 3)) 1/3)
(pow.f64 (/.f64 (-.f64 1/2 y) 1) -1)
(neg.f64 (/.f64 (+.f64 1/2 y) (neg.f64 (fma.f64 y (neg.f64 y) 1/4))))
(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 (pow.f64 (-.f64 1/2 y) -3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1/2 y) 3) (pow.f64 (fma.f64 y (neg.f64 y) 1/4) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1/2 y))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1/2 y))))
(exp.f64 (neg.f64 (log.f64 (-.f64 1/2 y))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 1/2 y))) 1))
(+.f64 0 (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 x (+.f64 1/2 y))))
(+.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) 1/4) (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y (neg.f64 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(*.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (*.f64 x (-.f64 1/2 y)) 1)
(*.f64 1 (*.f64 x (-.f64 1/2 y)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (-.f64 1/2 y))))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (/.f64 x (+.f64 1/2 y)) (fma.f64 y (neg.f64 y) 1/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1/2 y))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1/2 y))))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1/2 y)) (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 y (neg.f64 y) 1/4))))
(*.f64 (/.f64 1 (+.f64 1/2 y)) (/.f64 x (/.f64 1 (fma.f64 y (neg.f64 y) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1/2 y)) (/.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 y (neg.f64 y) 1/4))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) (/.f64 x (/.f64 1 (cbrt.f64 (-.f64 1/2 y)))))
(*.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 (sqrt.f64 x) (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) (/.f64 (sqrt.f64 x) (/.f64 1 (cbrt.f64 (-.f64 1/2 y)))))
(*.f64 (pow.f64 (/.f64 1 (-.f64 1/2 y)) -1/2) (/.f64 x (pow.f64 (-.f64 1/2 y) -1/2)))
(*.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 x 1) (-.f64 1/2 y))
(*.f64 (/.f64 x (fma.f64 -1 y -1/2)) (neg.f64 (fma.f64 y (neg.f64 y) 1/4)))
(*.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) 1) (fma.f64 y (neg.f64 y) 1/4))
(*.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4)) 2)) (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4)))
(*.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4))) (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4)))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(pow.f64 (/.f64 (/.f64 1 (-.f64 1/2 y)) x) -1)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) -3)) 1/3)
(pow.f64 (/.f64 (/.f64 (/.f64 1 (-.f64 1/2 y)) x) 1) -1)
(neg.f64 (/.f64 x (/.f64 -1 (-.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))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) -3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(log1p.f64 (expm1.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))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 x (+.f64 1/2 y))))
(fma.f64 (/.f64 x (+.f64 1/2 y)) 1/4 (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y (neg.f64 y))))
Outputs
2
(+.f64 2 (*.f64 4 y))
(fma.f64 4 y 2)
(+.f64 2 (+.f64 (*.f64 4 y) (*.f64 8 (pow.f64 y 2))))
(+.f64 2 (fma.f64 4 y (*.f64 8 (*.f64 y y))))
(+.f64 2 (fma.f64 8 (*.f64 y y) (*.f64 4 y)))
(fma.f64 4 y (fma.f64 y (*.f64 y 8) 2))
(+.f64 2 (+.f64 (*.f64 4 y) (+.f64 (*.f64 8 (pow.f64 y 2)) (*.f64 16 (pow.f64 y 3)))))
(+.f64 2 (fma.f64 4 y (fma.f64 8 (*.f64 y y) (*.f64 16 (pow.f64 y 3)))))
(+.f64 (fma.f64 4 y 2) (fma.f64 8 (*.f64 y y) (*.f64 16 (pow.f64 y 3))))
(+.f64 (fma.f64 4 y 2) (*.f64 (*.f64 y y) (+.f64 8 (*.f64 16 y))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))
(+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))
(+.f64 (/.f64 -1 y) (/.f64 (/.f64 -1/2 y) y))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/4 (pow.f64 y 3)))))
(-.f64 (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y))) (/.f64 1/4 (pow.f64 y 3)))
(+.f64 (/.f64 -1 y) (+.f64 (/.f64 (/.f64 -1/2 y) y) (/.f64 -1/4 (pow.f64 y 3))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 y 4))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3)))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/4 (pow.f64 y 3))) (/.f64 1/8 (pow.f64 y 4)))))
(-.f64 (/.f64 -1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (/.f64 1/4 (pow.f64 y 3)) (/.f64 1/8 (pow.f64 y 4)))))
(+.f64 (+.f64 (/.f64 -1 y) (+.f64 (/.f64 (/.f64 -1/2 y) y) (/.f64 -1/4 (pow.f64 y 3)))) (/.f64 -1/8 (pow.f64 y 4)))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))
(+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))
(+.f64 (/.f64 -1 y) (/.f64 (/.f64 -1/2 y) y))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/4 (pow.f64 y 3)))))
(-.f64 (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y))) (/.f64 1/4 (pow.f64 y 3)))
(+.f64 (/.f64 -1 y) (+.f64 (/.f64 (/.f64 -1/2 y) y) (/.f64 -1/4 (pow.f64 y 3))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 y 4))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3)))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/4 (pow.f64 y 3))) (/.f64 1/8 (pow.f64 y 4)))))
(-.f64 (/.f64 -1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (/.f64 1/4 (pow.f64 y 3)) (/.f64 1/8 (pow.f64 y 4)))))
(+.f64 (+.f64 (/.f64 -1 y) (+.f64 (/.f64 (/.f64 -1/2 y) y) (/.f64 -1/4 (pow.f64 y 3)))) (/.f64 -1/8 (pow.f64 y 4)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 x (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 x (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 x (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 x (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 x (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 x (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 x (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 x (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 x (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 x (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 x (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 x (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
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(*.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4))) (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 x (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) 1/2)
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (/.f64 (/.f64 1 (-.f64 1/2 y)) x) -1)
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) -3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) -3)))
(pow.f64 (/.f64 (/.f64 (/.f64 1 (-.f64 1/2 y)) x) 1) -1)
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(neg.f64 (/.f64 x (/.f64 -1 (-.f64 1/2 y))))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) -3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 x (+.f64 1/2 y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 x (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))
(fma.f64 (/.f64 x (+.f64 1/2 y)) 1/4 (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y (neg.f64 y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(/.f64 x (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (exp.f64 x))
Compiler

Compiled 8 to 4 computations (50% saved)

eval233.0ms (2.9%)

Compiler

Compiled 11127 to 7744 computations (30.4% saved)

prune122.0ms (1.5%)

Pruning

25 alts after pruning (14 fresh and 11 done)

PrunedKeptTotal
New61814632
Fresh000
Picked011
Done21012
Total62025645
Error
0b
Counts
645 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
55.6b
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
36.7b
(/.f64 x (/.f64 -1 y))
47.9b
(/.f64 x (+.f64 (/.f64 -1 y) (/.f64 (/.f64 -1/2 y) y)))
61.9b
(/.f64 x (+.f64 2 (*.f64 4 y)))
12.5b
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
6.9b
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
16.7b
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
6.4b
(-.f64 (log.f64 2) (*.f64 x y))
12.5b
(+.f64 (*.f64 1/2 x) (-.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (*.f64 x y))))
26.9b
(+.f64 (*.f64 1/2 x) (log.f64 2))
55.9b
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
47.6b
(*.f64 (-.f64 1/2 y) x)
56.7b
(*.f64 (+.f64 (/.f64 x y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y)))) (-.f64 1/4 (*.f64 y y)))
56.6b
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (*.f64 y y)))) (-.f64 1/4 (*.f64 y y)))
55.6b
(*.f64 (*.f64 (/.f64 1 (+.f64 1/2 y)) x) (-.f64 1/4 (*.f64 y y)))
56.2b
(*.f64 (*.f64 (-.f64 1/2 y) (/.f64 x (-.f64 1/4 (*.f64 y y)))) (-.f64 1/4 (*.f64 y y)))
56.4b
(*.f64 (*.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y y)))
62.2b
(*.f64 (*.f64 x (+.f64 2 (*.f64 y (+.f64 -4 (*.f64 8 y))))) (-.f64 1/4 (*.f64 y y)))
62.2b
(*.f64 (*.f64 x (+.f64 2 (*.f64 y -4))) (-.f64 1/4 (*.f64 y y)))
61.9b
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
36.6b
(*.f64 x (neg.f64 y))
61.6b
(*.f64 1/2 x)
26.4b
(log1p.f64 (exp.f64 x))
27.5b
(log.f64 (+.f64 2 x))
27.2b
(log.f64 2)
Compiler

Compiled 294 to 212 computations (27.9% saved)

regimes59.0ms (0.7%)

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

4 calls:

14.0ms
x
14.0ms
y
11.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
9.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0b1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 331 to 195 computations (41.1% saved)

regimes45.0ms (0.6%)

Counts
28 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(/.f64 x (+.f64 2 (*.f64 4 y)))
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 x (+.f64 (/.f64 -1 y) (/.f64 (/.f64 -1/2 y) y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (*.f64 x (+.f64 2 (*.f64 y -4))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (/.f64 1 (+.f64 1/2 y)) x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 x (+.f64 2 (*.f64 y (+.f64 -4 (*.f64 8 y))))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (-.f64 1/2 y) (/.f64 x (-.f64 1/4 (*.f64 y y)))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (*.f64 y y)))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (+.f64 (/.f64 x y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y)))) (-.f64 1/4 (*.f64 y y)))
(log.f64 2)
(log.f64 (+.f64 2 x))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (-.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (*.f64 x y))))
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
(log1p.f64 (exp.f64 x))
Outputs
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
Calls

2 calls:

25.0ms
x
13.0ms
y
Results
ErrorSegmentsBranch
0.7b2x
6.4b1y
Compiler

Compiled 282 to 169 computations (40.1% saved)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
-4.692961904620173
-0.011312444484447367
Results
16.0ms128×body256valid
Compiler

Compiled 160 to 124 computations (22.5% saved)

regimes41.0ms (0.5%)

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

2 calls:

23.0ms
x
12.0ms
y
Results
ErrorSegmentsBranch
0.9b2x
6.4b1y
Compiler

Compiled 225 to 130 computations (42.2% saved)

bsearch48.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
47.0ms
-59705881173.55507
-28151327.1531225
Results
23.0ms38×body1024valid
11.0ms73×body256valid
6.0msbody2048valid
3.0ms11×body512valid
0.0msbody256infinite
Compiler

Compiled 144 to 108 computations (25% saved)

regimes139.0ms (1.7%)

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

2 calls:

82.0ms
y
39.0ms
x
Results
ErrorSegmentsBranch
9.5b4x
20.5b5y
Compiler

Compiled 219 to 126 computations (42.5% saved)

bsearch49.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
15.0ms
5.2085355377431416e-71
2.2532695911922229e-69
16.0ms
1.376681909822788e-88
2.5187234845147494e-84
17.0ms
-2.6397953435410443e-6
-8.757430450560411e-8
Results
44.0ms352×body256valid
Compiler

Compiled 368 to 298 computations (19% saved)

regimes154.0ms (1.9%)

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

2 calls:

111.0ms
y
37.0ms
x
Results
ErrorSegmentsBranch
9.5b4x
20.7b5y
Compiler

Compiled 213 to 121 computations (43.2% saved)

bsearch49.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
15.0ms
5.2085355377431416e-71
2.2532695911922229e-69
17.0ms
1.376681909822788e-88
2.5187234845147494e-84
17.0ms
-2.6397953435410443e-6
-8.757430450560411e-8
Results
43.0ms352×body256valid
Compiler

Compiled 324 to 254 computations (21.6% saved)

regimes183.0ms (2.3%)

Counts
19 → 5
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(/.f64 x (+.f64 2 (*.f64 4 y)))
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 x (+.f64 (/.f64 -1 y) (/.f64 (/.f64 -1/2 y) y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (*.f64 x (+.f64 2 (*.f64 y -4))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (/.f64 1 (+.f64 1/2 y)) x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 x (+.f64 2 (*.f64 y (+.f64 -4 (*.f64 8 y))))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (-.f64 1/2 y) (/.f64 x (-.f64 1/4 (*.f64 y y)))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (*.f64 y y)))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (+.f64 (/.f64 x y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y)))) (-.f64 1/4 (*.f64 y y)))
(log.f64 2)
Outputs
(*.f64 x (neg.f64 y))
(log.f64 2)
(*.f64 x (neg.f64 y))
(log.f64 2)
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
Calls

2 calls:

97.0ms
y
69.0ms
x
Results
ErrorSegmentsBranch
8.7b5x
20.7b5y
Compiler

Compiled 209 to 118 computations (43.5% saved)

bsearch71.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
9.428938049409791e-20
3.9159053915641257e-13
15.0ms
5.2085355377431416e-71
2.2532695911922229e-69
17.0ms
1.376681909822788e-88
2.5187234845147494e-84
18.0ms
-2.6397953435410443e-6
-8.757430450560411e-8
Results
64.0ms496×body256valid
Compiler

Compiled 451 to 367 computations (18.6% saved)

regimes32.0ms (0.4%)

Accuracy

Total -27.1b remaining (-74%)

Threshold costs -27.1b (-74%)

Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(/.f64 x (+.f64 2 (*.f64 4 y)))
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 x (+.f64 (/.f64 -1 y) (/.f64 (/.f64 -1/2 y) y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (*.f64 x (+.f64 2 (*.f64 y -4))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (/.f64 1 (+.f64 1/2 y)) x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 x (+.f64 2 (*.f64 y (+.f64 -4 (*.f64 8 y))))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (-.f64 1/2 y) (/.f64 x (-.f64 1/4 (*.f64 y y)))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (*.f64 y y)))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (+.f64 (/.f64 x y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y)))) (-.f64 1/4 (*.f64 y y)))
Outputs
(*.f64 x (neg.f64 y))
Calls

2 calls:

17.0ms
y
10.0ms
x
Results
ErrorSegmentsBranch
36.6b1x
36.6b1y
Compiler

Compiled 207 to 116 computations (44% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
12×+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055214
182214
296214
3103214
4106214
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -28500000) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -519460313115661/590295810358705651712) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2734063405978765/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (+.f64 (*.f64 1/2 x) (log.f64 2)) (if (<=.f64 x 6589532882429673/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 1/2 x) (log.f64 2)))))
(if (<=.f64 x -6139076427730539/9444732965739290427392) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2734063405978765/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (log.f64 (+.f64 2 x)) (if (<=.f64 x 6589532882429673/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (*.f64 x (neg.f64 y)) (log.f64 (+.f64 2 x)))))
(if (<=.f64 x -3022314549036573/4722366482869645213696) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2734063405978765/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (log.f64 2) (if (<=.f64 x 6589532882429673/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (*.f64 x (neg.f64 y)) (if (<=.f64 x 3466232109999065/9903520314283042199192993792) (log.f64 2) (*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))))))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 y (neg.f64 x)) (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -28500000) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -28500000) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -519460313115661/590295810358705651712) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2734063405978765/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (+.f64 (*.f64 1/2 x) (log.f64 2)) (if (<=.f64 x 6589532882429673/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 1/2 x) (log.f64 2)))))
(if (<=.f64 x -519460313115661/590295810358705651712) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2734063405978765/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (+.f64 (log.f64 2) (*.f64 x 1/2)) (if (<=.f64 x 6589532882429673/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x 1/2)))))
(if (<=.f64 x -519460313115661/590295810358705651712) (*.f64 y (neg.f64 x)) (if (<=.f64 x 2734063405978765/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (+.f64 (log.f64 2) (*.f64 x 1/2)) (if (<=.f64 x 6589532882429673/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x 1/2)))))
(if (<=.f64 x -6139076427730539/9444732965739290427392) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2734063405978765/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (log.f64 (+.f64 2 x)) (if (<=.f64 x 6589532882429673/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (*.f64 x (neg.f64 y)) (log.f64 (+.f64 2 x)))))
(if (<=.f64 x -6139076427730539/9444732965739290427392) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2734063405978765/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (log.f64 (+.f64 x 2)) (if (<=.f64 x 6589532882429673/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (*.f64 x (neg.f64 y)) (log.f64 (+.f64 x 2)))))
(if (<=.f64 x -6139076427730539/9444732965739290427392) (*.f64 y (neg.f64 x)) (if (<=.f64 x 2734063405978765/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (log.f64 (+.f64 x 2)) (if (<=.f64 x 6589532882429673/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (*.f64 y (neg.f64 x)) (log.f64 (+.f64 x 2)))))
(if (<=.f64 x -3022314549036573/4722366482869645213696) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2734063405978765/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (log.f64 2) (if (<=.f64 x 6589532882429673/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (*.f64 x (neg.f64 y)) (if (<=.f64 x 3466232109999065/9903520314283042199192993792) (log.f64 2) (*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))))))
(if (<=.f64 x -3022314549036573/4722366482869645213696) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2734063405978765/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (log.f64 2) (if (<=.f64 x 6589532882429673/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (*.f64 x (neg.f64 y)) (if (<=.f64 x 3466232109999065/9903520314283042199192993792) (log.f64 2) (*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))))))
(if (<=.f64 x -3022314549036573/4722366482869645213696) (*.f64 y (neg.f64 x)) (if (<=.f64 x 2734063405978765/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (log.f64 2) (if (<=.f64 x 6589532882429673/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264) (*.f64 y (neg.f64 x)) (if (<=.f64 x 3466232109999065/9903520314283042199192993792) (log.f64 2) (*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))))))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)
(*.f64 x 1/2)
Compiler

Compiled 159 to 107 computations (32.7% saved)

soundness183.0ms (2.3%)

Algorithm
egg-herbie
Rules
479×fma-def_binary64
369×times-frac_binary64
368×associate-*l*_binary64
315×associate-/l*_binary64
289×associate-/l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11911
23011
34711
46611
510011
615411
720611
827511
935411
1041611
1144211
1252111
1374911
14168511
15492511
16602711
17766611
Stop Event
node limit
Compiler

Compiled 20 to 14 computations (30% saved)

end98.0ms (1.2%)

Compiler

Compiled 145 to 82 computations (43.4% saved)

Profiling

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