Details

Time bar (total: 8.2s)

analyze145.0ms (1.8%)

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)

sample4.1s (49.7%)

Results
2.7s2614×body8192exit
1.2s7800×body256valid
123.0ms185×body1024valid
76.0ms269×body512valid
19.0ms144×body256infinite
2.0msbody2048valid
Bogosity

preprocess70.0ms (0.8%)

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)

simplify62.0ms (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
0.5b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.7b
(-.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))
0.7b
(log.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 28 to 14 computations (50% saved)

series53.0ms (0.6%)

Counts
3 → 32
Calls

12 calls:

TimeVariablePointExpression
24.0ms
x
@inf
(log.f64 (+.f64 1 (exp.f64 x)))
20.0ms
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))

rewrite77.0ms (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)))))))

simplify98.0ms (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))
0.5b
(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
@0
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms
y
@0
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite50.0ms (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)))))))

simplify58.0ms (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 (log1p.f64 (exp.f64 x)) (*.f64 x y))
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(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 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 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)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.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 (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))))
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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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(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(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))

eval95.0ms (1.2%)

Compiler

Compiled 6786 to 2346 computations (65.4% saved)

prune55.0ms (0.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3727379
Fresh000
Picked101
Done101
Total3747381
Error
0.2b
Counts
381 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
10.4b
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
1.2b
(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
5.4b
(-.f64 (log.f64 2) (*.f64 x y))
10.4b
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
34.7b
(*.f64 x (neg.f64 y))
28.5b
(log1p.f64 (exp.f64 x))
28.6b
(log.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 116 to 90 computations (22.4% saved)

localize15.0ms (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))
0.5b
(log1p.f64 (exp.f64 x))
0.9b
(-.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 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
0.0ms
x
@-inf
(+.f64 1 (log1p.f64 (exp.f64 x)))
0.0ms
x
@inf
(+.f64 1 (log1p.f64 (exp.f64 x)))

rewrite76.0ms (0.9%)

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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simplify116.0ms (1.4%)

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%)

Compiler

Compiled 10 to 4 computations (60% saved)

localize14.0ms (0.2%)

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))

rewrite51.0ms (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)))))))

simplify54.0ms (0.7%)

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))

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 24 to 17 computations (29.2% saved)

series4.0ms (0.1%)

Counts
2 → 27
Calls

12 calls:

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

rewrite55.0ms (0.7%)

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 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
Outputs
((#(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)))))))
((#(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> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (pow.f64 (/.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (pow.f64 (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 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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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simplify67.0ms (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
362631511
Stop Event
node limit
Counts
114 → 121
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 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 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)))
(-.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))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(+.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 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) 3)
(+.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 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 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.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 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 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(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))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (/.f64 (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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (+.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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) 1/2)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (/.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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 (*.f64 (-.f64 1/2 y) x) 1 (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 (-.f64 1/2 y) x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (-.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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 (-.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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.5b
(log1p.f64 (exp.f64 x))
Compiler

Compiled 8 to 4 computations (50% saved)

eval164.0ms (2%)

Compiler

Compiled 9603 to 5143 computations (46.4% saved)

prune101.0ms (1.2%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New56510575
Fresh202
Picked011
Done224
Total56913582
Error
0.2b
Counts
582 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
10.9b
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
5.9b
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
29.1b
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
5.4b
(-.f64 (log.f64 2) (*.f64 x y))
24.5b
(+.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) (log.f64 2))
28.9b
(+.f64 (*.f64 1/2 x) (log.f64 2))
21.4b
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
43.9b
(*.f64 (-.f64 1/2 y) x)
34.7b
(*.f64 x (neg.f64 y))
28.5b
(log1p.f64 (exp.f64 x))
28.6b
(log.f64 (+.f64 (exp.f64 x) 1))
29.4b
(log.f64 2)
21.4b
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
Compiler

Compiled 223 to 182 computations (18.4% 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
@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))

rewrite64.0ms (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
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((#(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 (log.f64 2) (-.f64 1 (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (+.f64 0 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (log.f64 2) (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 2) 1) (neg.f64 (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 2) 1) (-.f64 -1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 2) 1) (+.f64 -1 (*.f64 x (neg.f64 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 x) y (*.f64 x y)))))) 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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))))))

simplify87.0ms (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)

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))

rewrite42.0ms (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))))))

simplify40.0ms (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))

localize24.0ms (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
x
@inf
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
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))

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)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (fma.f64 1/2 x -1) (log.f64 2))) (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (-.f64 (fma.f64 1/2 x -1) (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 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule 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y))))))) (#(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) (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(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))) (neg.f64 (+.f64 1 (*.f64 x y))))))) (#(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))) (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log.f64 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simplify89.0ms (1.1%)

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)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.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))))
(expm1.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1))
(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 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) -1)
(fma.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 1 -1)
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(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))))
(/.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 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 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 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))))))
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(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)))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (log1p.f64 (exp.f64 x)))
0.5b
(log1p.f64 (exp.f64 x))
0.9b
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
Compiler

Compiled 21 to 11 computations (47.6% saved)

eval292.0ms (3.5%)

Compiler

Compiled 14434 to 10130 computations (29.8% saved)

prune198.0ms (2.4%)

Pruning

22 alts after pruning (15 fresh and 7 done)

PrunedKeptTotal
New83511846
Fresh145
Picked011
Done167
Total83722859
Error
0.2b
Counts
859 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
55.4b
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
56.7b
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
55.4b
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
17.5b
(-.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))
17.5b
(-.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))
17.5b
(-.f64 (/.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 x y))
5.9b
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
29.4b
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1)
29.1b
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
43.9b
(-.f64 (*.f64 1/2 x) (*.f64 x y))
5.4b
(-.f64 (log.f64 2) (*.f64 x y))
24.5b
(+.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) (log.f64 2))
10.9b
(+.f64 (*.f64 1/2 x) (-.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (*.f64 x y))))
28.9b
(+.f64 (*.f64 1/2 x) (log.f64 2))
21.4b
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
43.9b
(*.f64 (-.f64 1/2 y) x)
34.7b
(*.f64 x (neg.f64 y))
61.5b
(*.f64 1/2 x)
28.5b
(log1p.f64 (exp.f64 x))
28.6b
(log.f64 (+.f64 (exp.f64 x) 1))
29.4b
(log.f64 2)
29.6b
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
Compiler

Compiled 487 to 394 computations (19.1% saved)

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 1/2 x) (-.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (*.f64 x y))))
0.6b
(-.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (*.f64 x y)))
Compiler

Compiled 48 to 33 computations (31.3% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite65.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
644×log-prod_binary64
501×fma-neg_binary64
255×expm1-udef_binary64
255×log1p-udef_binary64
238×pow3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01334
129622
2434222
Stop Event
node limit
Counts
2 → 158
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (*.f64 x y)))
(+.f64 (*.f64 1/2 x) (-.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (*.f64 x y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (log.f64 2) (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (-.f64 (log.f64 2) (fma.f64 x y 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (neg.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (-.f64 1 (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (+.f64 1 (neg.f64 (fma.f64 x y 1))))))) (#(struct:change #<rule 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simplify84.0ms (1%)

Algorithm
egg-herbie
Rules
587×fma-neg_binary64
452×cancel-sign-sub-inv_binary64
383×unswap-sqr_binary64
303×times-frac_binary64
207×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04243491
111293321
238803236
Stop Event
node limit
Counts
206 → 230
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)))
(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 1 (-.f64 (log.f64 2) (fma.f64 x y 1)))
(+.f64 1 (*.f64 (-.f64 (log.f64 2) (fma.f64 x y 1)) 1))
(+.f64 (log.f64 2) (neg.f64 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(+.f64 (log.f64 2) (*.f64 (neg.f64 y) x))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y))))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y))))
(+.f64 (log.f64 2) (-.f64 1 (fma.f64 x y 1)))
(+.f64 (log.f64 2) (+.f64 1 (neg.f64 (fma.f64 x y 1))))
(+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (fma.f64 x y 1)))
(+.f64 (+.f64 1 (log.f64 2)) (*.f64 (neg.f64 (fma.f64 x y 1)) 1))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (fma.f64 x y 1)) 1 (fma.f64 x y 1)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x y 1))) (pow.f64 (cbrt.f64 (fma.f64 x y 1)) 2) (fma.f64 x y 1)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (+.f64 (neg.f64 (fma.f64 x y 1)) (fma.f64 x y 1)))
(+.f64 0 (-.f64 (log.f64 2) (*.f64 x y)))
(+.f64 (neg.f64 (fma.f64 x y 1)) (+.f64 1 (log.f64 2)))
(+.f64 (-.f64 (log.f64 2) (fma.f64 x y 1)) 1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (exp.f64 x) y))) (cbrt.f64 (/.f64 2 (pow.f64 (exp.f64 x) y))))) (log.f64 (cbrt.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))) (log.f64 (sqrt.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))))
(*.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))) (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 (+.f64 1 (log.f64 2)) 3) (pow.f64 (fma.f64 x y 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (*.f64 (fma.f64 x y 1) (+.f64 (log.f64 2) (+.f64 1 (fma.f64 x y 1)))))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 (fma.f64 x y 1) 2)) (/.f64 1 (+.f64 (log.f64 2) (+.f64 1 (fma.f64 x y 1)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 2))) (sqrt.f64 (fma.f64 x y 1))) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 2))) (sqrt.f64 (fma.f64 x y 1))))
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(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (fma.f64 x y (neg.f64 (*.f64 x 1/2)))))
(fma.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 1 (*.f64 (log.f64 2) (-.f64 (log.f64 2) 1)))) (neg.f64 (-.f64 (fma.f64 x y 1) (*.f64 x 1/2))))
(fma.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (/.f64 1 (+.f64 1 (log.f64 1/2))) (neg.f64 (-.f64 (fma.f64 x y 1) (*.f64 x 1/2))))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x 1/2 (+.f64 1 (log.f64 2)))) (cbrt.f64 (fma.f64 x 1/2 (+.f64 1 (log.f64 2))))) (cbrt.f64 (fma.f64 x 1/2 (+.f64 1 (log.f64 2)))) (neg.f64 (fma.f64 x y 1)))
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 (+.f64 1 (log.f64 2)))) (sqrt.f64 (fma.f64 x 1/2 (+.f64 1 (log.f64 2)))) (neg.f64 (fma.f64 x y 1)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 2))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 2)))) (neg.f64 (fma.f64 x y (neg.f64 (*.f64 x 1/2)))))
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 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 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 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 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 (*.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 x 1/2 (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 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(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 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(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 (log.f64 2) (fma.f64 x y 1)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 1 (*.f64 (-.f64 (log.f64 2) (fma.f64 x y 1)) 1))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 (neg.f64 y) x))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y))))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y))))
(-.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 1 (neg.f64 (fma.f64 x y 1))))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (fma.f64 x y 1)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (+.f64 1 (log.f64 2)) (*.f64 (neg.f64 (fma.f64 x y 1)) 1))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (fma.f64 x y 1)) 1 (fma.f64 x y 1)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x y 1))) (pow.f64 (cbrt.f64 (fma.f64 x y 1)) 2) (fma.f64 x y 1)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (+.f64 (neg.f64 (fma.f64 x y 1)) (fma.f64 x y 1)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 0 (-.f64 (log.f64 2) (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (neg.f64 (fma.f64 x y 1)) (+.f64 1 (log.f64 2)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (-.f64 (log.f64 2) (fma.f64 x y 1)) 1)
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (exp.f64 x) y))) (cbrt.f64 (/.f64 2 (pow.f64 (exp.f64 x) y))))) (log.f64 (cbrt.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 (pow.f64 (exp.f64 x) y))))) (log.f64 (cbrt.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))) (log.f64 (sqrt.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))))
(*.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))
(*.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 (-.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 (fma.f64 x y 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (*.f64 (fma.f64 x y 1) (+.f64 (log.f64 2) (+.f64 1 (fma.f64 x y 1)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) 1) 3) (pow.f64 (fma.f64 x y 1) 3)) 1) (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (*.f64 (fma.f64 x y 1) (+.f64 (log.f64 2) (+.f64 1 (fma.f64 x y 1))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) 1) 3) (pow.f64 (fma.f64 y x 1) 3)) (fma.f64 (fma.f64 y x 1) (+.f64 (log.f64 2) (+.f64 (*.f64 y x) 2)) (pow.f64 (+.f64 (log.f64 2) 1) 2)))
(*.f64 (-.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 (fma.f64 x y 1) 2)) (/.f64 1 (+.f64 (log.f64 2) (+.f64 1 (fma.f64 x y 1)))))
(*.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (pow.f64 (fma.f64 x y 1) 2)) (/.f64 1 (+.f64 (log.f64 2) (+.f64 1 (fma.f64 x y 1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (pow.f64 (fma.f64 y x 1) 2)) (+.f64 (log.f64 2) (+.f64 (*.f64 y x) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 2))) (sqrt.f64 (fma.f64 x y 1))) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 2))) (sqrt.f64 (fma.f64 x y 1))))
(-.f64 (log.f64 2) (*.f64 y x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (*.f64 (fma.f64 x y 1) (+.f64 (log.f64 2) (+.f64 1 (fma.f64 x y 1))))) (-.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 (fma.f64 x y 1) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) 1) 3) (pow.f64 (fma.f64 x y 1) 3)) 1) (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (*.f64 (fma.f64 x y 1) (+.f64 (log.f64 2) (+.f64 1 (fma.f64 x y 1))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) 1) 3) (pow.f64 (fma.f64 y x 1) 3)) (fma.f64 (fma.f64 y x 1) (+.f64 (log.f64 2) (+.f64 (*.f64 y x) 2)) (pow.f64 (+.f64 (log.f64 2) 1) 2)))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (+.f64 1 (fma.f64 x y 1))) (-.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 (fma.f64 x y 1) 2))))
(*.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (pow.f64 (fma.f64 x y 1) 2)) (/.f64 1 (+.f64 (log.f64 2) (+.f64 1 (fma.f64 x y 1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (pow.f64 (fma.f64 y x 1) 2)) (+.f64 (log.f64 2) (+.f64 (*.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 (fma.f64 x y 1) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (*.f64 (fma.f64 x y 1) (+.f64 (log.f64 2) (+.f64 1 (fma.f64 x y 1))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) 1) 3) (pow.f64 (fma.f64 x y 1) 3)) 1) (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (*.f64 (fma.f64 x y 1) (+.f64 (log.f64 2) (+.f64 1 (fma.f64 x y 1))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) 1) 3) (pow.f64 (fma.f64 y x 1) 3)) (fma.f64 (fma.f64 y x 1) (+.f64 (log.f64 2) (+.f64 (*.f64 y x) 2)) (pow.f64 (+.f64 (log.f64 2) 1) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 (fma.f64 x y 1) 2)) (+.f64 (log.f64 2) (+.f64 1 (fma.f64 x y 1))))
(*.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (pow.f64 (fma.f64 x y 1) 2)) (/.f64 1 (+.f64 (log.f64 2) (+.f64 1 (fma.f64 x y 1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (pow.f64 (fma.f64 y x 1) 2)) (+.f64 (log.f64 2) (+.f64 (*.f64 y x) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 (fma.f64 x y 1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (*.f64 (fma.f64 x y 1) (+.f64 (log.f64 2) (+.f64 1 (fma.f64 x y 1)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) 1) 3) (pow.f64 (fma.f64 x y 1) 3)) 1) (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (*.f64 (fma.f64 x y 1) (+.f64 (log.f64 2) (+.f64 1 (fma.f64 x y 1))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) 1) 3) (pow.f64 (fma.f64 y x 1) 3)) (fma.f64 (fma.f64 y x 1) (+.f64 (log.f64 2) (+.f64 (*.f64 y x) 2)) (pow.f64 (+.f64 (log.f64 2) 1) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 (fma.f64 x y 1) 2))) (neg.f64 (+.f64 (log.f64 2) (+.f64 1 (fma.f64 x y 1)))))
(*.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (pow.f64 (fma.f64 x y 1) 2)) (/.f64 1 (+.f64 (log.f64 2) (+.f64 1 (fma.f64 x y 1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (pow.f64 (fma.f64 y x 1) 2)) (+.f64 (log.f64 2) (+.f64 (*.f64 y x) 2)))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (+.f64 1 (*.f64 (*.f64 x y) (fma.f64 x y -1)))) (*.f64 (+.f64 1 (*.f64 (log.f64 2) (-.f64 (log.f64 2) 1))) (+.f64 1 (pow.f64 (*.f64 x y) 3)))) (*.f64 (+.f64 1 (*.f64 (log.f64 2) (-.f64 (log.f64 2) 1))) (+.f64 1 (*.f64 (*.f64 x y) (fma.f64 x y -1)))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (+.f64 1 (*.f64 x (*.f64 y (fma.f64 x y -1))))) (*.f64 (+.f64 1 (*.f64 (log.f64 2) (+.f64 (log.f64 2) -1))) (+.f64 1 (pow.f64 (*.f64 y x) 3)))) (*.f64 (+.f64 1 (*.f64 x (*.f64 y (fma.f64 x y -1)))) (+.f64 1 (*.f64 (log.f64 2) (+.f64 (log.f64 2) -1)))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (fma.f64 x (*.f64 y (fma.f64 y x -1)) 1)) (*.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) 1) 1) (+.f64 1 (pow.f64 (*.f64 y x) 3)))) (*.f64 (fma.f64 x (*.f64 y (fma.f64 y x -1)) 1) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) 1) 1)))
(+.f64 (/.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) -1) 1)) (*.f64 -1 (/.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (fma.f64 x (*.f64 y (fma.f64 y x -1)) 1))))
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(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 x 1/2)) (-.f64 (log.f64 2) (*.f64 y x)))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (cbrt.f64 (*.f64 x 1/2)) (-.f64 (log.f64 2) (*.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (*.f64 x 1/2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(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) (neg.f64 (fma.f64 x y (neg.f64 (*.f64 x 1/2)))))
(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 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (fma.f64 x y (neg.f64 (*.f64 x 1/2)))))
(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 1 (log.f64 2))) (sqrt.f64 (+.f64 1 (log.f64 2))) (neg.f64 (-.f64 (fma.f64 x y 1) (*.f64 x 1/2))))
(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 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (-.f64 (log.f64 2) (*.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) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (*.f64 x 1/2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (fma.f64 x y (neg.f64 (*.f64 x 1/2)))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 1 (*.f64 (log.f64 2) (-.f64 (log.f64 2) 1)))) (neg.f64 (-.f64 (fma.f64 x y 1) (*.f64 x 1/2))))
(fma.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 1 (*.f64 (log.f64 2) (+.f64 (log.f64 2) -1)))) (neg.f64 (+.f64 (fma.f64 x y 1) (*.f64 x -1/2))))
(-.f64 (/.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) 1) 1)) (-.f64 (fma.f64 y x 1) (*.f64 x 1/2)))
(-.f64 (/.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) -1) 1)) (+.f64 (fma.f64 y x 1) (*.f64 x -1/2)))
(fma.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (/.f64 1 (+.f64 1 (log.f64 1/2))) (neg.f64 (-.f64 (fma.f64 x y 1) (*.f64 x 1/2))))
(fma.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (/.f64 1 (+.f64 1 (log.f64 1/2))) (neg.f64 (+.f64 (fma.f64 x y 1) (*.f64 x -1/2))))
(-.f64 (/.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (+.f64 1 (log.f64 1/2))) (-.f64 (fma.f64 y x 1) (*.f64 x 1/2)))
(-.f64 (/.f64 (-.f64 1 (pow.f64 (log.f64 2) 2)) (+.f64 1 (log.f64 1/2))) (+.f64 (fma.f64 y x 1) (*.f64 x -1/2)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x 1/2 (+.f64 1 (log.f64 2)))) (cbrt.f64 (fma.f64 x 1/2 (+.f64 1 (log.f64 2))))) (cbrt.f64 (fma.f64 x 1/2 (+.f64 1 (log.f64 2)))) (neg.f64 (fma.f64 x y 1)))
(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 x 1/2 (+.f64 1 (log.f64 2)))) (sqrt.f64 (fma.f64 x 1/2 (+.f64 1 (log.f64 2)))) (neg.f64 (fma.f64 x y 1)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 2))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 2)))) (neg.f64 (fma.f64 x y (neg.f64 (*.f64 x 1/2)))))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 (log.f64 2) 1))) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 2)))) (neg.f64 (fma.f64 x y (*.f64 x -1/2))))
(-.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 (log.f64 2) 1))) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 2))))) (*.f64 x (+.f64 y -1/2)))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 (log.f64 2) 1))) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 2)))) (*.f64 x (-.f64 1/2 y)))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
5.7b
(*.f64 (-.f64 1/4 (*.f64 y y)) x)
8.8b
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
Compiler

Compiled 35 to 18 computations (48.6% saved)

series8.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
1.0ms
x
@0
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
1.0ms
y
@0
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
1.0ms
x
@inf
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
0.0ms
y
@-inf
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))

rewrite55.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01026
123017
2321417
Stop Event
node limit
Counts
2 → 84
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(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 1/4 (/.f64 (+.f64 y 1/2) x)) (/.f64 (*.f64 y y) (/.f64 (+.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (/.f64 1 (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (*.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (/.f64 1 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (*.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (/.f64 1 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (neg.f64 x)) (/.f64 1 (fma.f64 -1 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) 1) (/.f64 x (+.f64 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 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 x (cbrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (cbrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) -2) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (cbrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (cbrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 y 1/2))) (/.f64 x (sqrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 y 1/2))) (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 y 1/2) -1/2) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (sqrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (sqrt.f64 (+.f64 y 1/2))) (/.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (sqrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4))))) (#(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 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)))) (#(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 (/.f64 1 (*.f64 (-.f64 1/2 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3) (pow.f64 (+.f64 y 1/2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (*.f64 (-.f64 1/2 y) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (fma.f64 -1 y -1/2)))))) (#(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 (exp.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(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 cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3) (pow.f64 (+.f64 y 1/2) 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 exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1/4 (*.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 x) (*.f64 (*.f64 y (neg.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/4) (*.f64 x (*.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 1/4 (*.f64 y y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) x) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) x) (fma.f64 y y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.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 x (-.f64 1/16 (pow.f64 y 4))) (fma.f64 y y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/4 x (*.f64 (*.f64 y (neg.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/4 (*.f64 x (*.f64 y (neg.f64 y))))))))

simplify54.0ms (0.7%)

Algorithm
egg-herbie
Rules
598×fma-def_binary64
592×times-frac_binary64
395×associate-*l/_binary64
345×unswap-sqr_binary64
305×associate-*r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02361903
15811618
221171616
Stop Event
node limit
Counts
132 → 135
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 1/4 x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(+.f64 0 (*.f64 (-.f64 1/2 y) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)
(-.f64 (/.f64 1/4 (/.f64 (+.f64 y 1/2) x)) (/.f64 (*.f64 y y) (/.f64 (+.f64 y 1/2) x)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))
(*.f64 x (*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (/.f64 1 (+.f64 y 1/2)))
(*.f64 (*.f64 (-.f64 1/2 y) x) 1)
(*.f64 1 (*.f64 (-.f64 1/2 y) x))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (*.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (*.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (neg.f64 x)) (/.f64 1 (fma.f64 -1 y -1/2)))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) 1) (/.f64 x (+.f64 y 1/2)))
(*.f64 (/.f64 x 1) (-.f64 1/2 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (+.f64 y 1/2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (+.f64 y 1/2)))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 x (cbrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (cbrt.f64 (+.f64 y 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) -2) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (cbrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (cbrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 y 1/2))) (/.f64 x (sqrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 y 1/2))) (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 y 1/2))))
(*.f64 (pow.f64 (+.f64 y 1/2) -1/2) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (sqrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (sqrt.f64 (+.f64 y 1/2))) (/.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (sqrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))
(*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 1)
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)
(pow.f64 (/.f64 1 (*.f64 (-.f64 1/2 y) x)) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3) (pow.f64 (+.f64 y 1/2) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (*.f64 (-.f64 1/2 y) x)) 1) -1)
(neg.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (fma.f64 -1 y -1/2)))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))
(log.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3) (pow.f64 (+.f64 y 1/2) 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))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) -1))
(+.f64 0 (*.f64 (-.f64 1/4 (*.f64 y y)) x))
(+.f64 (*.f64 1/4 x) (*.f64 (*.f64 y (neg.f64 y)) x))
(+.f64 (*.f64 x 1/4) (*.f64 x (*.f64 y (neg.f64 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))) 1)
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) x) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))
(/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) x) (fma.f64 y y 1/4))
(/.f64 (*.f64 x (-.f64 1/64 (pow.f64 y 6))) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))
(/.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (fma.f64 y y 1/4))
(pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 1)
(pow.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))) 2))
(fma.f64 1/4 x (*.f64 (*.f64 y (neg.f64 y)) x))
(fma.f64 x 1/4 (*.f64 x (*.f64 y (neg.f64 y))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 x (fma.f64 y (neg.f64 y) 1/4)) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 x (fma.f64 y (neg.f64 y) 1/4)) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 x (fma.f64 y (neg.f64 y) 1/4)) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 x (fma.f64 y (neg.f64 y) 1/4)) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 x (fma.f64 y (neg.f64 y) 1/4)) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 x (fma.f64 y (neg.f64 y) 1/4)) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 x (fma.f64 y (neg.f64 y) 1/4)) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 x (fma.f64 y (neg.f64 y) 1/4)) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 x (fma.f64 y (neg.f64 y) 1/4)) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 x (fma.f64 y (neg.f64 y) 1/4)) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 x (fma.f64 y (neg.f64 y) 1/4)) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 x (fma.f64 y (neg.f64 y) 1/4)) (+.f64 1/2 y))
(*.f64 1/4 x)
(*.f64 x 1/4)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 x (*.f64 y y)))
(*.f64 x (neg.f64 (*.f64 y y)))
(*.f64 (*.f64 x y) (neg.f64 y))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
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(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(log.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3) (pow.f64 (+.f64 y 1/2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 3) (pow.f64 (+.f64 1/2 y) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (fma.f64 y (neg.f64 y) 1/4)) 3) (pow.f64 (+.f64 1/2 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) 1/3))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) -1))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 0 (*.f64 (-.f64 1/4 (*.f64 y y)) x))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
(+.f64 (*.f64 1/4 x) (*.f64 (*.f64 y (neg.f64 y)) x))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
(+.f64 (*.f64 x 1/4) (*.f64 x (*.f64 y (neg.f64 y))))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 y (neg.f64 y) 1/4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))) 1)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) x) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))
(/.f64 x (/.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (-.f64 1/64 (pow.f64 y 6))))
(*.f64 (/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)) (-.f64 1/64 (pow.f64 y 6)))
(/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) x) (fma.f64 y y 1/4))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (/.f64 (fma.f64 y y 1/4) x))
(*.f64 (/.f64 x (fma.f64 y y 1/4)) (-.f64 1/16 (pow.f64 y 4)))
(/.f64 (*.f64 x (-.f64 1/64 (pow.f64 y 6))) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))
(/.f64 x (/.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (-.f64 1/64 (pow.f64 y 6))))
(*.f64 (/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)) (-.f64 1/64 (pow.f64 y 6)))
(/.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (fma.f64 y y 1/4))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (/.f64 (fma.f64 y y 1/4) x))
(*.f64 (/.f64 x (fma.f64 y y 1/4)) (-.f64 1/16 (pow.f64 y 4)))
(pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 1)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
(pow.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 2) 1/2)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
(pow.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3) 1/3)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 3)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 2))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
(exp.f64 (log.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 1))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3)) 1/3))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))) 3))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))) 2))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
(fma.f64 1/4 x (*.f64 (*.f64 y (neg.f64 y)) x))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))
(fma.f64 x 1/4 (*.f64 x (*.f64 y (neg.f64 y))))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (fma.f64 y (neg.f64 y) 1/4))

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
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 33 to 29 computations (12.1% saved)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 39 to 28 computations (28.2% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite55.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
473×log-prod_binary64
360×prod-exp_binary64
359×exp-prod_binary64
305×fma-def_binary64
301×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01119
122017
2284117
Stop Event
node limit
Counts
2 → 125
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (-.f64 1/2 y) x 1) -1)))) (#(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 (fma.f64 (-.f64 1/2 y) x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (-.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)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3) 1) (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 1 (*.f64 (fma.f64 (-.f64 1/2 y) x 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) 1) (+.f64 (fma.f64 (-.f64 1/2 y) x 1) 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 pow.f64 (exp.f64 1) (log.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(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 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 exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1) 1))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(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 exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))))) 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simplify78.0ms (0.9%)

Algorithm
egg-herbie
Rules
420×log-prod_binary64
417×unswap-sqr_binary64
286×hypot-def_binary64
252×associate-/l*_binary64
244×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02852500
16412150
218032150
368112150
Stop Event
node limit
Counts
173 → 166
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 (-.f64 1/2 y) x 1) -1)
(+.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 (fma.f64 (-.f64 1/2 y) x 1) 1)
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (*.f64 (-.f64 1/2 y) x) 1)
(*.f64 1 (*.f64 (-.f64 1/2 y) x))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x))
(*.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x))
(*.f64 (*.f64 (-.f64 1/2 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3) 1) (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 1 (*.f64 (fma.f64 (-.f64 1/2 y) x 1) 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) 1) (+.f64 (fma.f64 (-.f64 1/2 y) x 1) 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)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (-.f64 1/2 y) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))
(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))
(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))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 3) 1/3))
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 1/2 y)) 1) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 1/2 y)) 1) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (-.f64 1/2 y))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (-.f64 1/2 y)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (-.f64 1/2 y)) 1)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(fma.f64 x 1/2 (*.f64 x (neg.f64 y)))
(fma.f64 1 (fma.f64 (-.f64 1/2 y) x 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) -1)
(-.f64 (fma.f64 (-.f64 1/2 y) x 1) (-.f64 1 (log.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (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 (log.f64 2) (fma.f64 (-.f64 1/2 y) x 1)) 1)
(*.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(*.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2)))
(*.f64 (cbrt.f64 (pow.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) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))
(/.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 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 (exp.f64 1) (log.f64 (fma.f64 (-.f64 1/2 y) x (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)
(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)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (sqrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1) 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 1 (fma.f64 (-.f64 1/2 y) x 1) (neg.f64 (-.f64 1 (log.f64 2))))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.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))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (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 x) (*.f64 (sqrt.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))
(fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (neg.f64 (-.f64 1 (log.f64 2))))
(fma.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (neg.f64 (-.f64 1 (log.f64 2))))
(fma.f64 (*.f64 (-.f64 1/2 y) (cbrt.f64 (*.f64 x x))) (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))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 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))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
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(/.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) (+.f64 (log.f64 2) (*.f64 x (+.f64 y -1/2))) (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)) (+.f64 (log.f64 2) (*.f64 x (+.f64 y -1/2))))
(pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) 1/2)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(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) (+.f64 (log.f64 2) (*.f64 x (+.f64 y -1/2))) (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)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (sqrt.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (sqrt.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 (*.f64 (-.f64 1/2 y) x) 1 (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 (-.f64 1/2 y) x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (fma.f64 (-.f64 1/2 y) x 1) (neg.f64 (-.f64 1 (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (-.f64 1/2 y) (cbrt.f64 x)) (log.f64 2))
(fma.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)) (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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (neg.f64 (-.f64 1 (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (neg.f64 (-.f64 1 (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (-.f64 1/2 y) (cbrt.f64 x)) (log.f64 2))
(fma.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)) (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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

eval296.0ms (3.6%)

Compiler

Compiled 12875 to 9838 computations (23.6% saved)

prune160.0ms (1.9%)

Pruning

28 alts after pruning (19 fresh and 9 done)

PrunedKeptTotal
New71213725
Fresh4610
Picked101
Done2911
Total71928747
Error
0.2b
Counts
747 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
55.4b
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
53.6b
(/.f64 (*.f64 (*.f64 x y) (neg.f64 y)) (+.f64 1/2 y))
57.1b
(/.f64 (*.f64 x (neg.f64 (*.f64 y y))) (+.f64 1/2 y))
61.8b
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y))
30.1b
(/.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)))))
30.1b
(/.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)))
55.4b
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
30.1b
(/.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)))))))
5.9b
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
29.1b
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
5.4b
(-.f64 (log.f64 2) (*.f64 x y))
39.4b
(+.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (log.f64 2))
24.5b
(+.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) (log.f64 2))
29.4b
(+.f64 (+.f64 1 (log.f64 2)) (+.f64 (*.f64 1/2 x) -1))
10.9b
(+.f64 (*.f64 1/2 x) (-.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (*.f64 x y))))
28.9b
(+.f64 (*.f64 1/2 x) (log.f64 2))
29.6b
(+.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 x))) (log.f64 2))
56.7b
(*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))
56.7b
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x))
43.9b
(*.f64 (-.f64 1/2 y) x)
55.4b
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x)))
34.7b
(*.f64 x (neg.f64 y))
61.5b
(*.f64 1/2 x)
28.5b
(log1p.f64 (exp.f64 x))
28.6b
(log.f64 (+.f64 (exp.f64 x) 1))
29.4b
(log.f64 2)
29.6b
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
22.6b
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))
Compiler

Compiled 354 to 285 computations (19.5% saved)

regimes96.0ms (1.2%)

Counts
43 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(-.f64 (*.f64 1/2 x) (*.f64 x y))
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y))
(/.f64 (*.f64 x (neg.f64 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (*.f64 (*.f64 x y) (neg.f64 y)) (+.f64 1/2 y))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x)))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x))
(*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (+.f64 1 (log.f64 2)) (+.f64 (*.f64 1/2 x) -1))
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1)
(-.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 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) (log.f64 2))
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 (exp.f64 x) 1))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
(+.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 x))) (log.f64 2))
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))
(/.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 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 (/.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 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 x y))
(+.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) 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 (log.f64 2) (+.f64 1 (fma.f64 1/2 x 1)))))
(-.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))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

35.0ms
x
21.0ms
y
20.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1y
0.5b1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 506 to 362 computations (28.5% saved)

regimes53.0ms (0.6%)

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

2 calls:

24.0ms
x
23.0ms
y
Results
ErrorSegmentsBranch
1.0b2x
5.4b1y
Compiler

Compiled 237 to 153 computations (35.4% saved)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
-32.51239548810971
-0.004637572730961697
Results
15.0ms128×body256valid
Compiler

Compiled 160 to 124 computations (22.5% saved)

regimes44.0ms (0.5%)

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

2 calls:

25.0ms
x
9.0ms
y
Results
ErrorSegmentsBranch
1.3b2x
5.4b1y
Compiler

Compiled 144 to 85 computations (41% saved)

bsearch40.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
40.0ms
-8.245823561932056e+21
-5372088141421733000.0
Results
20.0ms85×body256valid
15.0ms33×body1024valid
3.0ms10×body512valid
1.0msbody256infinite
Compiler

Compiled 144 to 108 computations (25% saved)

regimes84.0ms (1%)

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

2 calls:

65.0ms
y
15.0ms
x
Results
ErrorSegmentsBranch
12.9b2x
17.0b5y
Compiler

Compiled 138 to 82 computations (40.6% saved)

bsearch15.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
15.0ms
-5.40223542538902e-16
-3.543199138155612e-16
Results
14.0ms64×body256valid
Compiler

Compiled 80 to 64 computations (20% saved)

regimes99.0ms (1.2%)

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

2 calls:

80.0ms
y
15.0ms
x
Results
ErrorSegmentsBranch
13.1b2x
16.3b7y
Compiler

Compiled 132 to 77 computations (41.7% saved)

bsearch8.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
8.0ms
-5.40223542538902e-16
-3.543199138155612e-16
Results
7.0ms64×body256valid
Compiler

Compiled 64 to 52 computations (18.8% saved)

regimes27.0ms (0.3%)

Accuracy

Total -28.3b remaining (-81.6%)

Threshold costs -28.3b (-81.6%)

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

2 calls:

17.0ms
y
7.0ms
x
Results
ErrorSegmentsBranch
34.7b1x
34.7b1y
Compiler

Compiled 130 to 75 computations (42.3% saved)

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
031102
151102
261102
366102
468102
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 -5500000000000000000) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -8924260225606735/20282409603651670423947251286016) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -2535301200456459/5070602400912917605986812821504) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -5500000000000000000) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -8924260225606735/20282409603651670423947251286016) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -8924260225606735/20282409603651670423947251286016) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(if (<=.f64 x -2535301200456459/5070602400912917605986812821504) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)
Compiler

Compiled 82 to 59 computations (28% saved)

soundness175.0ms (2.1%)

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)

end48.0ms (0.6%)

Compiler

Compiled 70 to 38 computations (45.7% saved)

Profiling

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