Details

Time bar (total: 10.7s)

analyze256.0ms (2.4%)

Algorithm
1×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)

sample4.2s (39%)

Results
2.6s2561×body8192exit
1.3s7758×body256valid
153.0ms235×body1024valid
98.0ms261×body512valid
23.0ms143×body256infinite
4.0ms2×body2048valid
Bogosity

preprocess95.0ms (0.9%)

Algorithm
2×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
1×saturated
1×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)

simplify77.0ms (0.7%)

Algorithm
1×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
1×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
1.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.0b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶1.0b
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 20 to 14 computations (30% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 28 to 14 computations (50% saved)

series52.0ms (0.5%)

Counts
3 → 32
Calls

12 calls:

TimeVariablePointExpression
25.0ms
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))

rewrite96.0ms (0.9%)

Algorithm
1×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
1×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)))))))

simplify55.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
803×unswap-sqr_binary64
560×cancel-sign-sub-inv_binary64
518×fma-def_binary64
449×fma-neg_binary64
388×distribute-lft-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043357
1114327
2252327
3636311
42007311
53813311
Stop Event
1×node limit
Counts
272 → 264
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)))
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 x (*.f64 x 1/8) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 x (fma.f64 x 1/8 1/2) (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))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 x (fma.f64 x 1/8 1/2) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))
(fma.f64 -1/192 (pow.f64 x 4) (fma.f64 x (fma.f64 x 1/8 1/2) (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 x (fma.f64 1/2 (*.f64 x x) 2))
(fma.f64 (fma.f64 1/2 x 1) x 2)
(+.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))
(+.f64 2 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 (fma.f64 1/2 x 1) x 2))
(fma.f64 (fma.f64 1/2 x 1) 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)))
(fma.f64 x (*.f64 x 1/8) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (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))))
(fma.f64 x (-.f64 1/2 y) (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 x (fma.f64 x 1/8 (-.f64 1/2 y)) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 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 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓1.0b
(log1p.f64 (exp.f64 x))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite61.0ms (0.6%)

Algorithm
1×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
1×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)))))))

simplify51.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
627×fma-neg_binary64
581×associate-*l*_binary64
537×distribute-lft-out_binary64
418×distribute-rgt-neg-in_binary64
384×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034363
186333
2182333
3431321
41389321
53841321
Stop Event
1×node limit
Counts
88 → 71
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)))
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 x (*.f64 x 1/8) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 x (fma.f64 x 1/8 1/2) (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))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 x (fma.f64 x 1/8 1/2) (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)))
(fma.f64 x (*.f64 x 1/8) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (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))))
(fma.f64 x (-.f64 1/2 y) (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.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)) (neg.f64 (*.f64 x y)))
(-.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)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.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)) (neg.f64 (*.f64 x y)))
(-.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)) (neg.f64 (*.f64 x y)))
(-.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)) (neg.f64 (*.f64 x y)))
(-.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)) (neg.f64 (*.f64 x y)))
(-.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)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.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)) (neg.f64 (*.f64 x y)))
(-.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)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.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)) (neg.f64 (*.f64 x y)))
(-.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)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

eval109.0ms (1%)

Compiler

Compiled 5942 to 2016 computations (66.1% saved)

prune93.0ms (0.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3296335
Fresh000
Picked101
Done101
Total3316337
Error
0.4b
Counts
337 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶36.4b
(*.f64 x (neg.f64 y))
▶5.3b
(-.f64 (log.f64 2) (*.f64 x y))
▶26.7b
(log1p.f64 (exp.f64 x))
▶16.7b
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
▶9.6b
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
9.6b
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
Compiler

Compiled 96 to 72 computations (25% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 16 to 9 computations (43.8% saved)

series12.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
9.0ms
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))

rewrite55.0ms (0.5%)

Algorithm
1×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
1×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)))))))

simplify33.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
101×fma-def_binary64
56×fma-neg_binary64
27×cancel-sign-sub-inv_binary64
17×sub-neg_binary64
13×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09228
115192
232192
345192
457192
588192
6148192
7196192
8254192
9341192
10391192
11397192
Stop Event
1×saturated
Counts
61 → 42
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)))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.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) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))

localize10.0ms (0.1%)

Compiler

Compiled 10 to 4 computations (60% saved)

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 24 to 17 computations (29.2% saved)

series11.0ms (0.1%)

Counts
2 → 27
Calls

12 calls:

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

rewrite77.0ms (0.7%)

Algorithm
1×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
1×node limit
Counts
2 → 87
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (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 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))))) (#(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 (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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))) 2))))) (#(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 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 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2))))))
((#(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)))))))

simplify46.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
267×fma-neg_binary64
247×fma-def_binary64
89×cancel-sign-sub-inv_binary64
42×sub-neg_binary64
38×associate--r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
016250
133223
264205
3107205
4160205
5254205
6452205
7660205
8875205
91096205
101116205
Stop Event
1×saturated
Counts
114 → 97
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
Outputs
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 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)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 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)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 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)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 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)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 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)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 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)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 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)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 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)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(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))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 23 to 13 computations (43.5% saved)

series9.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
4.0ms
y
@0
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
1.0ms
x
@inf
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
1.0ms
x
@inf
(log.f64 (+.f64 2 x))
1.0ms
x
@-inf
(log.f64 (+.f64 2 x))
1.0ms
x
@0
(log.f64 (+.f64 2 x))

rewrite235.0ms (2.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
118118
2250818
Stop Event
1×node limit
Counts
2 → 190
Calls
Call 1
Inputs
(log.f64 (+.f64 2 x))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
Outputs
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(+.f64 2 x)) (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (neg.f64 (cbrt.f64 (*.f64 x y))) (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (neg.f64 (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 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))) (fma.f64 (neg.f64 (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 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) y (log.f64 (+.f64 2 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))) (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) x (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x y) (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (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)) (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) y (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log.f64 (+.f64 2 x)))))))

simplify218.0ms (2%)

Algorithm
1×egg-herbie
Rules
689×sub-neg_binary64
330×associate-/r*_binary64
328×associate-+r+_binary64
322×associate-+l-_binary64
296×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
065525
1195447
2508447
31652439
44662439
Stop Event
1×node limit
Counts
226 → 229
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x))))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(log.f64 (+.f64 2 x))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 1/2 x (fma.f64 -1/8 (*.f64 x x) (log.f64 2)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (fma.f64 -1/8 (*.f64 x x) (log.f64 2))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x))
(+.f64 (log.f64 x) (/.f64 2 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 (log.f64 x) (/.f64 2 (*.f64 x x))))
(+.f64 (log.f64 x) (*.f64 (/.f64 1 x) (-.f64 2 (/.f64 2 x))))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 x) (/.f64 2 x)) (-.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) (/.f64 8/3 (pow.f64 x 3))))
(+.f64 (log.f64 x) (+.f64 (/.f64 2 x) (+.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))))
(+.f64 (log.f64 x) (-.f64 (/.f64 2 x) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 2 (/.f64 8/3 x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x))
(+.f64 (log.f64 x) (/.f64 2 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 (log.f64 x) (/.f64 2 (*.f64 x x))))
(+.f64 (log.f64 x) (*.f64 (/.f64 1 x) (-.f64 2 (/.f64 2 x))))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 x) (/.f64 2 x)) (-.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) (/.f64 8/3 (pow.f64 x 3))))
(+.f64 (log.f64 x) (+.f64 (/.f64 2 x) (+.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))))
(+.f64 (log.f64 x) (-.f64 (/.f64 2 x) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 2 (/.f64 8/3 x)))))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (log.f64 2)))
(fma.f64 (-.f64 1/2 y) x (fma.f64 -1/8 (*.f64 x x) (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (fma.f64 -1/8 (*.f64 x x) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 (-.f64 1/2 y) x (+.f64 (fma.f64 -1/8 (*.f64 x x) (log.f64 2)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 x (-.f64 1/2 y) (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/24 (pow.f64 x 3) (fma.f64 -1/8 (*.f64 x x) (log.f64 2))))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 x) (*.f64 x y))
(fma.f64 y (neg.f64 x) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (neg.f64 (*.f64 x y)))
(+.f64 (log.f64 x) (-.f64 (/.f64 2 x) (*.f64 x y)))
(+.f64 (log.f64 x) (fma.f64 x (neg.f64 y) (/.f64 2 x)))
(-.f64 (log.f64 x) (fma.f64 x y (/.f64 -2 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (neg.f64 (*.f64 x y))) (/.f64 2 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (-.f64 (/.f64 2 x) (*.f64 x y)) (/.f64 -2 (*.f64 x x))))
(+.f64 (log.f64 x) (-.f64 (/.f64 2 x) (+.f64 (*.f64 x y) (/.f64 2 (*.f64 x x)))))
(+.f64 (log.f64 x) (-.f64 (/.f64 -2 (*.f64 x x)) (fma.f64 x y (/.f64 -2 x))))
(+.f64 (log.f64 x) (-.f64 (/.f64 2 x) (fma.f64 x y (/.f64 2 (*.f64 x x)))))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 -1 (*.f64 y x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 x) (*.f64 x y))
(fma.f64 y (neg.f64 x) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x)))))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (neg.f64 (*.f64 x y)))
(+.f64 (log.f64 x) (-.f64 (/.f64 2 x) (*.f64 x y)))
(+.f64 (log.f64 x) (fma.f64 x (neg.f64 y) (/.f64 2 x)))
(-.f64 (log.f64 x) (fma.f64 x y (/.f64 -2 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x))))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (neg.f64 (*.f64 x y))) (/.f64 2 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (-.f64 (/.f64 2 x) (*.f64 x y)) (/.f64 -2 (*.f64 x x))))
(+.f64 (log.f64 x) (-.f64 (/.f64 2 x) (+.f64 (*.f64 x y) (/.f64 2 (*.f64 x x)))))
(+.f64 (log.f64 x) (-.f64 (/.f64 -2 (*.f64 x x)) (fma.f64 x y (/.f64 -2 x))))
(+.f64 (log.f64 x) (-.f64 (/.f64 2 x) (fma.f64 x y (/.f64 2 (*.f64 x x)))))
(log.f64 (+.f64 2 x))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.0b
(log1p.f64 (exp.f64 x))
Compiler

Compiled 8 to 4 computations (50% saved)

eval192.0ms (1.8%)

Compiler

Compiled 6962 to 4112 computations (40.9% saved)

prune181.0ms (1.7%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New38111392
Fresh101
Picked011
Done224
Total38414398
Error
0.4b
Counts
398 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
20.5b
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
✓36.4b
(*.f64 x (neg.f64 y))
✓5.3b
(-.f64 (log.f64 2) (*.f64 x y))
▶16.7b
(-.f64 (neg.f64 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x))))) (*.f64 x y))
▶9.6b
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
▶44.8b
(*.f64 (-.f64 1/2 y) x)
▶27.6b
(log.f64 (+.f64 2 x))
27.3b
(log.f64 2)
27.0b
(+.f64 (*.f64 1/2 x) (log.f64 2))
10.0b
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
12.0b
(*.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))))
25.4b
(fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2))
▶10.0b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) (log.f64 2))
✓26.7b
(log1p.f64 (exp.f64 x))
Compiler

Compiled 279 to 222 computations (20.4% saved)

localize23.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
Compiler

Compiled 18 to 13 computations (27.8% saved)

series5.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite68.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
830×pow1_binary64
772×add-log-exp_binary64
771×log1p-expm1-u_binary64
771×expm1-log1p-u_binary64
758×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
117010
2202310
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) 1) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1)))) (#(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 (*.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 (-.f64 1/2 y) x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))

simplify51.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
267×fma-neg_binary64
257×fma-def_binary64
89×cancel-sign-sub-inv_binary64
41×sub-neg_binary64
39×associate--r+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016306
133216
260216
3106216
4157216
5252216
6453216
7671216
8886216
91107216
101127216
Stop Event
1×saturated
Counts
45 → 30
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(log.f64 2)
(+.f64 (*.f64 (-.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))
Outputs
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (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 (-.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))
(+.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))
(+.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))

localize10.0ms (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)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 8 computations (27.3% saved)

localize54.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (neg.f64 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x))))) (*.f64 x y))
✓0.0b
(log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x))))
✓5.4b
(/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))
Compiler

Compiled 65 to 36 computations (44.6% saved)

series18.0ms (0.2%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
7.0ms
y
@0
(-.f64 (neg.f64 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x))))) (*.f64 x y))
3.0ms
y
@-inf
(-.f64 (neg.f64 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x))))) (*.f64 x y))
1.0ms
x
@inf
(/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))
1.0ms
x
@0
(/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))
1.0ms
x
@-inf
(log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x))))

rewrite132.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
693×log-prod_binary64
371×fma-def_binary64
249×pow1/3_binary64
249×expm1-udef_binary64
249×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01351
130622
2447122
Stop Event
1×node limit
Counts
3 → 296
Calls
Call 1
Inputs
(/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))
(log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x))))
(-.f64 (neg.f64 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x))))) (*.f64 x y))
Outputs
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simplify84.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
471×fma-neg_binary64
417×fma-def_binary64
415×associate-+l-_binary64
351×sub-neg_binary64
342×associate--r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
091804
1285750
2853726
32777717
47963717
Stop Event
1×node limit
Counts
344 → 352
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (*.f64 -1/4 x)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 1/2 (*.f64 -1/4 x))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(log.f64 1/2)
(+.f64 (*.f64 -1/2 x) (log.f64 1/2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (log.f64 1/2)))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (log.f64 1/2))))
(log.f64 (/.f64 1 x))
(-.f64 (log.f64 (/.f64 1 x)) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(*.f64 -1 (log.f64 1/2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 -1 (log.f64 1/2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 -1 (log.f64 1/2))))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1 (log.f64 1/2)) (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x))))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (pow.f64 x 2))))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (pow.f64 x 2))))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (pow.f64 x 2))))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (pow.f64 x 2))))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (pow.f64 x 2))))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (pow.f64 x 2))))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (pow.f64 x 2))))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (pow.f64 x 2))))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (pow.f64 x 2))))) (*.f64 -1 (*.f64 y x)))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(fma.f64 -1/4 x 1/2)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (*.f64 -1/4 x)))
(fma.f64 1/8 (*.f64 x x) (+.f64 1/2 (*.f64 -1/4 x)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/4 x 1/2))
(fma.f64 x (*.f64 x 1/8) (fma.f64 -1/4 x 1/2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 1/2 (*.f64 -1/4 x))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 3) (+.f64 1/2 (*.f64 -1/4 x))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 3) (fma.f64 -1/4 x 1/2)))
(fma.f64 x (*.f64 x 1/8) (fma.f64 -1/16 (pow.f64 x 3) (fma.f64 -1/4 x 1/2)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -2 x) x))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 4 (pow.f64 x 3))) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 4 (pow.f64 x 3))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -8 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 -2 x) x)) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 -8 (pow.f64 x 4))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -2 x) x))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 4 (pow.f64 x 3))) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 4 (pow.f64 x 3))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -8 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 -2 x) x)) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 -8 (pow.f64 x 4))))
(log.f64 1/2)
(+.f64 (*.f64 -1/2 x) (log.f64 1/2))
(fma.f64 -1/2 x (log.f64 1/2))
(fma.f64 x -1/2 (log.f64 1/2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (log.f64 1/2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/2 x (log.f64 1/2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x -1/2 (log.f64 1/2)))
(fma.f64 x -1/2 (fma.f64 1/8 (*.f64 x x) (log.f64 1/2)))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (log.f64 1/2))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/2 x (log.f64 1/2))))
(fma.f64 (pow.f64 x 3) -1/24 (fma.f64 1/8 (*.f64 x x) (fma.f64 x -1/2 (log.f64 1/2))))
(fma.f64 x (*.f64 x 1/8) (fma.f64 (pow.f64 x 3) -1/24 (fma.f64 x -1/2 (log.f64 1/2))))
(fma.f64 (pow.f64 x 3) -1/24 (fma.f64 x -1/2 (fma.f64 1/8 (*.f64 x x) (log.f64 1/2))))
(log.f64 (/.f64 1 x))
(neg.f64 (log.f64 x))
(-.f64 (log.f64 (/.f64 1 x)) (*.f64 2 (/.f64 1 x)))
(-.f64 (neg.f64 (log.f64 x)) (/.f64 2 x))
(+.f64 (neg.f64 (log.f64 x)) (/.f64 -2 x))
(-.f64 (/.f64 -2 x) (log.f64 x))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)))
(+.f64 (-.f64 (/.f64 2 (*.f64 x x)) (log.f64 x)) (/.f64 -2 x))
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (log.f64 x)))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 8/3 (pow.f64 x 3)))))
(+.f64 (-.f64 (-.f64 (/.f64 2 (*.f64 x x)) (log.f64 x)) (/.f64 8/3 (pow.f64 x 3))) (/.f64 -2 x))
(+.f64 (-.f64 (/.f64 2 (*.f64 x x)) (log.f64 x)) (-.f64 (/.f64 -8/3 (pow.f64 x 3)) (/.f64 2 x)))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (-.f64 (log.f64 x) (/.f64 -8/3 (pow.f64 x 3)))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(neg.f64 (log.f64 x))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 2 (/.f64 1 x)))
(-.f64 (neg.f64 (log.f64 x)) (/.f64 2 x))
(+.f64 (neg.f64 (log.f64 x)) (/.f64 -2 x))
(-.f64 (/.f64 -2 x) (log.f64 x))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) (*.f64 2 (/.f64 1 x)))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)))
(+.f64 (-.f64 (/.f64 2 (*.f64 x x)) (log.f64 x)) (/.f64 -2 x))
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (log.f64 x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 8/3 (pow.f64 x 3)))))
(+.f64 (-.f64 (-.f64 (/.f64 2 (*.f64 x x)) (log.f64 x)) (/.f64 8/3 (pow.f64 x 3))) (/.f64 -2 x))
(+.f64 (-.f64 (/.f64 2 (*.f64 x x)) (log.f64 x)) (-.f64 (/.f64 -8/3 (pow.f64 x 3)) (/.f64 2 x)))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (-.f64 (log.f64 x) (/.f64 -8/3 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 1/2))
(neg.f64 (log.f64 1/2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 -1 (log.f64 1/2)))
(fma.f64 (-.f64 1/2 y) x (neg.f64 (log.f64 1/2)))
(-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 1/2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 -1 (log.f64 1/2))))
(fma.f64 (-.f64 1/2 y) x (fma.f64 -1/8 (*.f64 x x) (neg.f64 (log.f64 1/2))))
(fma.f64 x (-.f64 1/2 y) (-.f64 (*.f64 (*.f64 -1/8 x) x) (log.f64 1/2)))
(-.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x -1/8))) (log.f64 1/2))
(fma.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x -1/8)) (neg.f64 (log.f64 1/2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1 (log.f64 1/2)) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 (-.f64 1/2 y) x (fma.f64 -1/8 (*.f64 x x) (fma.f64 -1 (log.f64 1/2) (*.f64 (pow.f64 x 3) 1/24))))
(fma.f64 x (-.f64 1/2 y) (fma.f64 (*.f64 x x) -1/8 (-.f64 (*.f64 (pow.f64 x 3) 1/24) (log.f64 1/2))))
(fma.f64 x (-.f64 1/2 y) (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/24) -1/8)) (log.f64 1/2)))
(-.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x (+.f64 -1/8 (*.f64 x 1/24))))) (log.f64 1/2))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (*.f64 x y)))
(fma.f64 (neg.f64 y) x (log.f64 x))
(fma.f64 x (neg.f64 y) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 2 x) (neg.f64 (*.f64 x y))))
(+.f64 (/.f64 2 x) (fma.f64 (neg.f64 y) x (log.f64 x)))
(+.f64 (/.f64 2 x) (fma.f64 x (neg.f64 y) (log.f64 x)))
(-.f64 (log.f64 x) (fma.f64 x y (/.f64 -2 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 2 x) (neg.f64 (*.f64 x y)))) (/.f64 2 (*.f64 x x)))
(+.f64 (log.f64 x) (-.f64 (-.f64 (/.f64 2 x) (*.f64 x y)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 (fma.f64 x (neg.f64 y) (log.f64 x)) (/.f64 2 (*.f64 x x))))
(+.f64 (log.f64 x) (-.f64 (/.f64 (/.f64 -2 x) x) (fma.f64 x y (/.f64 -2 x))))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (*.f64 x y)))
(fma.f64 (neg.f64 y) x (log.f64 x))
(fma.f64 x (neg.f64 y) (log.f64 x))
(+.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 2 x) (neg.f64 (*.f64 x y))))
(+.f64 (/.f64 2 x) (fma.f64 (neg.f64 y) x (log.f64 x)))
(+.f64 (/.f64 2 x) (fma.f64 x (neg.f64 y) (log.f64 x)))
(-.f64 (log.f64 x) (fma.f64 x y (/.f64 -2 x)))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 2 x) (neg.f64 (*.f64 x y)))) (/.f64 2 (*.f64 x x)))
(+.f64 (log.f64 x) (-.f64 (-.f64 (/.f64 2 x) (*.f64 x y)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 (fma.f64 x (neg.f64 y) (log.f64 x)) (/.f64 2 (*.f64 x x))))
(+.f64 (log.f64 x) (-.f64 (/.f64 (/.f64 -2 x) x) (fma.f64 x y (/.f64 -2 x))))
(*.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (pow.f64 x 2)))))
(neg.f64 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))))
(-.f64 (log.f64 (-.f64 4 (*.f64 x x))) (log.f64 (-.f64 2 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (pow.f64 x 2))))) (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 x (neg.f64 y)) (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))))
(neg.f64 (fma.f64 x y (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (pow.f64 x 2))))) (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 x (neg.f64 y)) (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))))
(neg.f64 (fma.f64 x y (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (pow.f64 x 2))))) (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 x (neg.f64 y)) (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))))
(neg.f64 (fma.f64 x y (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x))))))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (pow.f64 x 2))))) (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 x (neg.f64 y)) (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))))
(neg.f64 (fma.f64 x y (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (pow.f64 x 2))))) (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 x (neg.f64 y)) (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))))
(neg.f64 (fma.f64 x y (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (pow.f64 x 2))))) (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 x (neg.f64 y)) (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))))
(neg.f64 (fma.f64 x y (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x))))))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (pow.f64 x 2))))) (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 x (neg.f64 y)) (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))))
(neg.f64 (fma.f64 x y (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (pow.f64 x 2))))) (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 x (neg.f64 y)) (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))))
(neg.f64 (fma.f64 x y (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (pow.f64 x 2))))) (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 x (neg.f64 y)) (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))))
(neg.f64 (fma.f64 x y (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x))))))

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 1/2 y) x)
✓0.0b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) (log.f64 2))
✓0.6b
(cbrt.f64 (*.f64 (-.f64 1/2 y) x))
✓0.7b
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)
Compiler

Compiled 42 to 31 computations (26.2% saved)

series24.0ms (0.2%)

Counts
3 → 17
Calls

18 calls:

TimeVariablePointExpression
5.0ms
y
@0
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)
3.0ms
y
@-inf
(cbrt.f64 (*.f64 (-.f64 1/2 y) x))
2.0ms
y
@0
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) (log.f64 2))
2.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)
2.0ms
y
@inf
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)

rewrite112.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
509×log-prod_binary64
344×pow-prod-down_binary64
344×fma-def_binary64
294×pow2_binary64
206×pow-to-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01228
126726
2313426
Stop Event
1×node limit
Counts
3 → 149
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)
(cbrt.f64 (*.f64 (-.f64 1/2 y) x))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) (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 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 (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 1 (*.f64 (-.f64 1/2 y) x))))) (#(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 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 2) (*.f64 (cbrt.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 (cbrt.f64 (-.f64 1/2 y)) (*.f64 (cbrt.f64 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 1/2 y)) 2) (*.f64 (cbrt.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 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6))))) (#(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 (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.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 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) 1) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 x))))) (#(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 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 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 2/3 (log.f64 (*.f64 (-.f64 1/2 y) x))) 3/2))))) (#(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 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.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)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3/2) 2))))) (#(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 0 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1/2 y)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1/2 y) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.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) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.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)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> 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simplify138.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
848×distribute-rgt-in_binary64
807×times-frac_binary64
469×*-commutative_binary64
419×associate-+l+_binary64
360×associate-+r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01381282
14701137
217411112
351991109
Stop Event
1×node limit
Counts
166 → 174
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) x))
(+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) x)))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (cbrt.f64 1/2)) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))) (+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) x))))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (*.f64 (+.f64 (*.f64 4/27 (*.f64 (pow.f64 1 1/9) (pow.f64 x 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (cbrt.f64 1/2))))) (cbrt.f64 1/2))) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))))) (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))))))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (cbrt.f64 1/2)) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))) (+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) x)))))
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 11)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3)))) (*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 11)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3)))) (*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2)))))
(+.f64 (log.f64 2) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) x)))
(+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (+.f64 (log.f64 2) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) x))))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (cbrt.f64 1/2)) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))) (+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (+.f64 (log.f64 2) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) x)))))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (cbrt.f64 1/2)) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))) (+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (+.f64 (log.f64 2) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 4/27 (*.f64 (pow.f64 1 1/9) (pow.f64 x 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (cbrt.f64 1/2))))) (cbrt.f64 1/2)) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))))) (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))))))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) x))))))
(log.f64 2)
(log.f64 2)
(log.f64 2)
(log.f64 2)
(log.f64 2)
Outputs
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) x))
(*.f64 1/2 x)
(+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) x)))
(fma.f64 y (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) -1) (*.f64 1/2 x))
(fma.f64 y (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) -1)) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2)))) (neg.f64 y)))
(fma.f64 1/2 x (*.f64 (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2))) (*.f64 y (neg.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18))))))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (cbrt.f64 1/2)) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))) (+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) x))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) -1/9)) (cbrt.f64 x) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) 1/9)) (fma.f64 y (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) -1) (*.f64 1/2 x)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) -1/9)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))))) (fma.f64 y (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) -1)) (*.f64 1/2 x)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (*.f64 (cbrt.f64 (/.f64 2 (cbrt.f64 1/2))) -1/9)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (*.f64 1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))))) (fma.f64 1/2 x (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2)))) (neg.f64 y))))
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (*.f64 y (fma.f64 (*.f64 (cbrt.f64 (/.f64 2 (cbrt.f64 1/2))) (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (*.f64 (pow.f64 (pow.f64 x 14) 1/18) -1/9))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (*.f64 1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))))))) (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2)))))))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (*.f64 (+.f64 (*.f64 4/27 (*.f64 (pow.f64 1 1/9) (pow.f64 x 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (cbrt.f64 1/2))))) (cbrt.f64 1/2))) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))))) (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))))))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (cbrt.f64 1/2)) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))) (+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) x)))))
(fma.f64 (pow.f64 y 3) (fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 1/2) (+.f64 (*.f64 4/27 (*.f64 x x)) (*.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (+.f64 (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7)))) (*.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7))) -1/27)) (cbrt.f64 1/2)))))) (fma.f64 -1/3 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) -1/9) (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7)))) (*.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7))) -1/27))) (*.f64 2/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7))))))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) -1/9)) (cbrt.f64 x) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) 1/9)) (fma.f64 y (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) -1) (*.f64 1/2 x))))
(fma.f64 (pow.f64 y 3) (fma.f64 -1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 1/2) (fma.f64 -2/3 (/.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (cbrt.f64 1/2) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27))) (*.f64 4/27 (*.f64 x x)))) (fma.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 2/27)))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) -1/9)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))))) (fma.f64 y (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) -1)) (*.f64 1/2 x))))
(fma.f64 (pow.f64 y 3) (fma.f64 -1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (cbrt.f64 (/.f64 2 (cbrt.f64 1/2)))) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (fma.f64 (fma.f64 -2/3 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 1/2)) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27)) (*.f64 x (*.f64 x 4/27))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (fma.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27) (*.f64 (cbrt.f64 (pow.f64 x 7)) (/.f64 2/27 (pow.f64 (cbrt.f64 1/2) 2)))))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (*.f64 (cbrt.f64 (/.f64 2 (cbrt.f64 1/2))) -1/9)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (*.f64 1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))))) (fma.f64 1/2 x (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2)))) (neg.f64 y)))))
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(fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (*.f64 (cbrt.f64 (/.f64 2 (cbrt.f64 1/2))) -1/9)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (*.f64 1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))))) (fma.f64 y (neg.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2))))) (fma.f64 1/2 x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 y (-.f64 (*.f64 y (fma.f64 (*.f64 (cbrt.f64 (/.f64 2 (cbrt.f64 1/2))) (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (*.f64 (pow.f64 (pow.f64 x 14) 1/18) -1/9))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (*.f64 1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))))))) (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2)))))))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (cbrt.f64 1/2)) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)))))) (+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 1/2) 4) 1/3))))) (+.f64 (log.f64 2) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 4/27 (*.f64 (pow.f64 1 1/9) (pow.f64 x 2))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (cbrt.f64 1/2))))) (cbrt.f64 1/2)) (pow.f64 (*.f64 1 x) 1/3)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))) (*.f64 -1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 7)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))))) (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 x 7) 1/3)))))))) (*.f64 1/2 (*.f64 (pow.f64 1 1/3) x))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) -1/9)) (cbrt.f64 x) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))) 1/9)) (fma.f64 y (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4))) -1) (+.f64 (log.f64 2) (fma.f64 (pow.f64 y 3) (fma.f64 -1/3 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) -1/9) (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 (*.f64 (cbrt.f64 1/2) (+.f64 (*.f64 4/27 (*.f64 x x)) (*.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (+.f64 (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7)))) (*.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7))) -1/27)) (cbrt.f64 1/2)))))) (cbrt.f64 x) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7)))) (*.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7))) -1/27))) (*.f64 2/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (pow.f64 x 7))))))) (*.f64 1/2 x)))))
(+.f64 (fma.f64 (pow.f64 y 3) (fma.f64 -1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 1/2) (fma.f64 -2/3 (/.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (cbrt.f64 1/2) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27))) (*.f64 4/27 (*.f64 x x)))) (fma.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 2/27)))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) -1/9)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))))) (fma.f64 y (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) -1)) (*.f64 1/2 x)))) (log.f64 2))
(+.f64 (fma.f64 y (neg.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2))))) (fma.f64 1/2 x (log.f64 2))) (*.f64 (*.f64 y y) (+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (*.f64 (cbrt.f64 (/.f64 2 (cbrt.f64 1/2))) -1/9)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (*.f64 1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2)))))) (*.f64 y (fma.f64 -1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (pow.f64 (pow.f64 x 14) 1/18)) (cbrt.f64 (/.f64 2 (cbrt.f64 1/2)))) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (fma.f64 (fma.f64 -2/3 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 1/2)) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27)) (*.f64 x (*.f64 x 4/27))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (fma.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27) (*.f64 (cbrt.f64 (pow.f64 x 7)) (/.f64 2/27 (pow.f64 (cbrt.f64 1/2) 2))))))))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (+.f64 (*.f64 (pow.f64 y 3) (fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (*.f64 (*.f64 (cbrt.f64 (/.f64 2 (cbrt.f64 1/2))) (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (*.f64 (pow.f64 (pow.f64 x 14) 1/18) -1/9))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 (fma.f64 -2/3 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 1/2)) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27)) (*.f64 x (*.f64 x 4/27))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (fma.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/2) 2)) 5/27) (*.f64 (cbrt.f64 (pow.f64 x 7)) (/.f64 2/27 (pow.f64 (cbrt.f64 1/2) 2))))))) (*.f64 y (-.f64 (*.f64 y (fma.f64 (*.f64 (cbrt.f64 (/.f64 2 (cbrt.f64 1/2))) (*.f64 (pow.f64 (pow.f64 x 14) 1/18) (*.f64 (pow.f64 (pow.f64 x 14) 1/18) -1/9))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) (*.f64 (*.f64 (pow.f64 (pow.f64 x 17) 1/18) (pow.f64 (pow.f64 x 17) 1/18)) (*.f64 1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))))))) (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2))))))))
(log.f64 2)
(log.f64 2)
(log.f64 2)
(log.f64 2)
(log.f64 2)

eval656.0ms (6.1%)

Compiler

Compiled 12733 to 9097 computations (28.6% saved)

prune229.0ms (2.1%)

Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New6629671
Fresh426
Picked101
Done167
Total66817685
Error
0.4b
Counts
685 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
36.8b
(+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) (log.f64 2))
▶5.4b
(-.f64 (neg.f64 (log.f64 (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 x y))
✓36.4b
(*.f64 x (neg.f64 y))
✓5.3b
(-.f64 (log.f64 2) (*.f64 x y))
▶25.4b
(+.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y))) (log.f64 2))
✓9.6b
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
27.0b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3) (log.f64 2))
✓44.8b
(*.f64 (-.f64 1/2 y) x)
✓27.6b
(log.f64 (+.f64 2 x))
▶61.5b
(*.f64 1/2 x)
27.3b
(log.f64 2)
▶27.0b
(+.f64 (*.f64 1/2 x) (log.f64 2))
44.8b
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
27.0b
(+.f64 (pow.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) 3) (log.f64 2))
12.0b
(*.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))))
▶55.7b
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
✓26.7b
(log1p.f64 (exp.f64 x))
Compiler

Compiled 313 to 253 computations (19.2% saved)

localize44.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiled 41 to 29 computations (29.3% saved)

series15.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
7.0ms
y
@0
(-.f64 (neg.f64 (log.f64 (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 x y))
2.0ms
y
@inf
(-.f64 (neg.f64 (log.f64 (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 x y))
1.0ms
x
@inf
(log.f64 (+.f64 1/2 (*.f64 -1/4 x)))
1.0ms
x
@-inf
(log.f64 (+.f64 1/2 (*.f64 -1/4 x)))
1.0ms
x
@0
(log.f64 (+.f64 1/2 (*.f64 -1/4 x)))

rewrite105.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
538×log-prod_binary64
322×pow-prod-down_binary64
320×fma-def_binary64
292×pow2_binary64
204×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01126
124720
233457
Stop Event
1×node limit
Counts
2 → 91
Calls
Call 1
Inputs
(log.f64 (+.f64 1/2 (*.f64 -1/4 x)))
(-.f64 (neg.f64 (log.f64 (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (neg.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (neg.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) 2) (cbrt.f64 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (neg.f64 (cbrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (*.f64 x y) 3)) (/.f64 1 (pow.f64 (hypot.f64 0 (*.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (*.f64 x y) 2)) (/.f64 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 0 (sqrt.f64 (*.f64 x y))) (neg.f64 (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (hypot.f64 0 (*.f64 x y)) 2) (neg.f64 (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x y) (neg.f64 (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (*.f64 x y) 3)) (pow.f64 (hypot.f64 0 (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 x y) 3))) (neg.f64 (pow.f64 (hypot.f64 0 (*.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 x y) 2))) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 0 (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 0 (*.f64 x (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (*.f64 x (neg.f64 y)) 2)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (neg.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 0 (*.f64 x y)) 2) (neg.f64 (pow.f64 (*.f64 x y) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x y) (neg.f64 (pow.f64 (*.f64 x y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (neg.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (neg.f64 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (neg.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (neg.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (neg.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1 (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 -1 (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (neg.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (neg.f64 y)) 1 (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (neg.f64 y)) 1 (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 1 0 (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (neg.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) 2) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) 2) (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 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) 2) (cbrt.f64 (*.f64 x (neg.f64 y))) 0)))) (#(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))) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(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))) (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 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (neg.f64 (cbrt.f64 (*.f64 x y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (*.f64 x y) 3)) (/.f64 1 (pow.f64 (hypot.f64 0 (*.f64 x y)) 2)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (*.f64 x y) 3)) (/.f64 1 (pow.f64 (hypot.f64 0 (*.f64 x y)) 2)) (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 -1 0 (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (*.f64 x y) 2)) (/.f64 1 (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (*.f64 x y) 2)) (/.f64 1 (*.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 x) y 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 0 (sqrt.f64 (*.f64 x y))) (neg.f64 (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 0 (sqrt.f64 (*.f64 x y))) (neg.f64 (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)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) y 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) 0)))))

simplify102.0ms (1%)

Algorithm
1×egg-herbie
Rules
479×fma-neg_binary64
402×fma-def_binary64
382×distribute-neg-in_binary64
372×sub-neg_binary64
366×associate--r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
078652
1251580
2765548
32570547
46663547
Stop Event
1×node limit
Counts
127 → 139
Calls
Call 1
Inputs
(log.f64 1/2)
(+.f64 (*.f64 -1/2 x) (log.f64 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (log.f64 1/2)))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (log.f64 1/2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1/4))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1/4)) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1/4)) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1/4)) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/4))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/4)) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/4)) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/4)) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 -1 (log.f64 1/2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 -1 (log.f64 1/2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -1 (log.f64 1/2))))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1 (log.f64 1/2)) (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1/4))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1/4))) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1/4))) (*.f64 -1 (*.f64 y x)))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/4))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/4))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 -1 (*.f64 y x)))))
(*.f64 -1 (log.f64 (+.f64 1/2 (*.f64 -1/4 x))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 -1 (*.f64 y x)))
Outputs
(log.f64 1/2)
(+.f64 (*.f64 -1/2 x) (log.f64 1/2))
(fma.f64 -1/2 x (log.f64 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (log.f64 1/2)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -1/2 x (log.f64 1/2)))
(fma.f64 x (*.f64 x -1/8) (fma.f64 -1/2 x (log.f64 1/2)))
(fma.f64 -1/2 x (fma.f64 x (*.f64 x -1/8) (log.f64 1/2)))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (log.f64 1/2))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -1/8 (*.f64 x x) (fma.f64 -1/2 x (log.f64 1/2))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/8) (fma.f64 -1/2 x (log.f64 1/2))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -1/2 x (fma.f64 x (*.f64 x -1/8) (log.f64 1/2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1/4))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1/4))
(+.f64 (log.f64 x) (log.f64 -1/4))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1/4)) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1/4)) (/.f64 2 x))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1/4) (/.f64 -2 x)))
(+.f64 (log.f64 -1/4) (+.f64 (log.f64 x) (/.f64 -2 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1/4)) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1/4)) (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (log.f64 -1/4) (-.f64 (log.f64 x) (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 -1/4) (/.f64 (/.f64 -2 x) x)) (/.f64 -2 x)))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1/4) (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1/4)) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1/4)) (+.f64 (+.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 x) (log.f64 -1/4)) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (/.f64 8/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1/4) (+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 -8/3 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x)) (/.f64 -2 x))))
(+.f64 (/.f64 -2 x) (+.f64 (-.f64 (log.f64 -1/4) (/.f64 8/3 (pow.f64 x 3))) (-.f64 (log.f64 x) (/.f64 2 (*.f64 x x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/4))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/4))
(-.f64 (log.f64 1/4) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/4)) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/4)) (/.f64 2 x))
(+.f64 (-.f64 (log.f64 1/4) (log.f64 (/.f64 -1 x))) (/.f64 -2 x))
(-.f64 (log.f64 1/4) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 -2 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/4)) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/4)) (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 1/4) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 1/4) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x)))
(+.f64 (log.f64 1/4) (-.f64 (/.f64 (/.f64 -2 x) x) (+.f64 (/.f64 2 x) (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 1/4) (+.f64 (/.f64 -2 x) (-.f64 (/.f64 (/.f64 -2 x) x) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/4)) (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/4)) (+.f64 (+.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(-.f64 (-.f64 (log.f64 1/4) (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (/.f64 8/3 (pow.f64 x 3))))
(+.f64 (-.f64 (log.f64 1/4) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 -2 x))) (-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 8/3 (pow.f64 x 3))))
(+.f64 (log.f64 1/4) (-.f64 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x)) (+.f64 (/.f64 8/3 (pow.f64 x 3)) (log.f64 (/.f64 -1 x)))))
(+.f64 (-.f64 (log.f64 1/4) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 -2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 8/3 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 1/2))
(neg.f64 (log.f64 1/2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 -1 (log.f64 1/2)))
(fma.f64 (-.f64 1/2 y) x (neg.f64 (log.f64 1/2)))
(-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 1/2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -1 (log.f64 1/2))))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (neg.f64 (log.f64 1/2))))
(-.f64 (fma.f64 x (-.f64 1/2 y) (*.f64 (*.f64 x x) 1/8)) (log.f64 1/2))
(-.f64 (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8))) (log.f64 1/2))
(fma.f64 x (+.f64 (-.f64 1/2 y) (*.f64 x 1/8)) (neg.f64 (log.f64 1/2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1 (log.f64 1/2)) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1 (log.f64 1/2) (*.f64 (pow.f64 x 3) 1/24))))
(fma.f64 x (-.f64 1/2 y) (fma.f64 (*.f64 x x) 1/8 (fma.f64 (pow.f64 x 3) 1/24 (neg.f64 (log.f64 1/2)))))
(fma.f64 x (-.f64 1/2 y) (-.f64 (*.f64 (*.f64 x x) (+.f64 1/8 (*.f64 x 1/24))) (log.f64 1/2)))
(-.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 1/8 (*.f64 x 1/24))) (-.f64 1/2 y))) (log.f64 1/2))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1/4))) (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1/4)) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 x (neg.f64 y)) (+.f64 (log.f64 x) (log.f64 -1/4)))
(neg.f64 (fma.f64 x y (+.f64 (log.f64 x) (log.f64 -1/4))))
(-.f64 (neg.f64 (log.f64 -1/4)) (fma.f64 x y (log.f64 x)))
(+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1/4))) (*.f64 -1 (*.f64 y x))))
(+.f64 (/.f64 2 x) (fma.f64 -1 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1/4)) (neg.f64 (*.f64 x y))))
(-.f64 (-.f64 (/.f64 2 x) (+.f64 (log.f64 x) (log.f64 -1/4))) (*.f64 x y))
(-.f64 (/.f64 2 x) (fma.f64 x y (+.f64 (log.f64 x) (log.f64 -1/4))))
(-.f64 (/.f64 2 x) (+.f64 (log.f64 -1/4) (fma.f64 x y (log.f64 x))))
(+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1/4))) (*.f64 -1 (*.f64 y x)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 -1 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1/4)) (neg.f64 (*.f64 x y)))))
(+.f64 (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (log.f64 x) (log.f64 -1/4))) (-.f64 (/.f64 2 x) (*.f64 x y)))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (*.f64 x x)) (fma.f64 x y (+.f64 (log.f64 x) (log.f64 -1/4)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (log.f64 -1/4) (fma.f64 x y (log.f64 x)))))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/4))) (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/4)) (neg.f64 (*.f64 x y)))
(-.f64 (*.f64 x (neg.f64 y)) (-.f64 (log.f64 1/4) (log.f64 (/.f64 -1 x))))
(-.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/4)) (*.f64 x y))
(-.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/4) (*.f64 x y)))
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/4))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x))))
(fma.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/4)) (+.f64 (/.f64 2 x) (neg.f64 (*.f64 x y))))
(-.f64 (-.f64 (/.f64 2 x) (*.f64 x y)) (-.f64 (log.f64 1/4) (log.f64 (/.f64 -1 x))))
(-.f64 (/.f64 2 x) (fma.f64 x y (-.f64 (log.f64 1/4) (log.f64 (/.f64 -1 x)))))
(-.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/4)) (fma.f64 x y (/.f64 -2 x)))
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 -1 (*.f64 y x)))))
(fma.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/4)) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (neg.f64 (*.f64 x y))))
(-.f64 (+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (*.f64 x x)) (*.f64 x y))) (-.f64 (log.f64 1/4) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (fma.f64 x y (-.f64 (log.f64 1/4) (log.f64 (/.f64 -1 x)))))
(+.f64 (/.f64 2 x) (-.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/4)) (fma.f64 x y (/.f64 (/.f64 -2 x) x))))
(*.f64 -1 (log.f64 (+.f64 1/2 (*.f64 -1/4 x))))
(neg.f64 (log.f64 (+.f64 1/2 (*.f64 x -1/4))))
(neg.f64 (log.f64 (fma.f64 x -1/4 1/2)))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (log.f64 (+.f64 1/2 (*.f64 x -1/4))) (neg.f64 (*.f64 x y)))
(-.f64 (neg.f64 (log.f64 (fma.f64 x -1/4 1/2))) (*.f64 x y))
(neg.f64 (fma.f64 x y (log.f64 (fma.f64 x -1/4 1/2))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (log.f64 (+.f64 1/2 (*.f64 x -1/4))) (neg.f64 (*.f64 x y)))
(-.f64 (neg.f64 (log.f64 (fma.f64 x -1/4 1/2))) (*.f64 x y))
(neg.f64 (fma.f64 x y (log.f64 (fma.f64 x -1/4 1/2))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (log.f64 (+.f64 1/2 (*.f64 x -1/4))) (neg.f64 (*.f64 x y)))
(-.f64 (neg.f64 (log.f64 (fma.f64 x -1/4 1/2))) (*.f64 x y))
(neg.f64 (fma.f64 x y (log.f64 (fma.f64 x -1/4 1/2))))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (log.f64 (+.f64 1/2 (*.f64 x -1/4))) (neg.f64 (*.f64 x y)))
(-.f64 (neg.f64 (log.f64 (fma.f64 x -1/4 1/2))) (*.f64 x y))
(neg.f64 (fma.f64 x y (log.f64 (fma.f64 x -1/4 1/2))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (log.f64 (+.f64 1/2 (*.f64 x -1/4))) (neg.f64 (*.f64 x y)))
(-.f64 (neg.f64 (log.f64 (fma.f64 x -1/4 1/2))) (*.f64 x y))
(neg.f64 (fma.f64 x y (log.f64 (fma.f64 x -1/4 1/2))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (log.f64 (+.f64 1/2 (*.f64 x -1/4))) (neg.f64 (*.f64 x y)))
(-.f64 (neg.f64 (log.f64 (fma.f64 x -1/4 1/2))) (*.f64 x y))
(neg.f64 (fma.f64 x y (log.f64 (fma.f64 x -1/4 1/2))))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (log.f64 (+.f64 1/2 (*.f64 x -1/4))) (neg.f64 (*.f64 x y)))
(-.f64 (neg.f64 (log.f64 (fma.f64 x -1/4 1/2))) (*.f64 x y))
(neg.f64 (fma.f64 x y (log.f64 (fma.f64 x -1/4 1/2))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (log.f64 (+.f64 1/2 (*.f64 x -1/4))) (neg.f64 (*.f64 x y)))
(-.f64 (neg.f64 (log.f64 (fma.f64 x -1/4 1/2))) (*.f64 x y))
(neg.f64 (fma.f64 x y (log.f64 (fma.f64 x -1/4 1/2))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 -1 (*.f64 y x)))
(fma.f64 -1 (log.f64 (+.f64 1/2 (*.f64 x -1/4))) (neg.f64 (*.f64 x y)))
(-.f64 (neg.f64 (log.f64 (fma.f64 x -1/4 1/2))) (*.f64 x y))
(neg.f64 (fma.f64 x y (log.f64 (fma.f64 x -1/4 1/2))))

localize7.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize36.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓6.4b
(*.f64 (-.f64 1/4 (*.f64 y y)) x)
✓7.6b
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
Compiler

Compiled 35 to 18 computations (48.6% saved)

series14.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite129.0ms (1.2%)

Algorithm
1×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
1×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))))))))

simplify123.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
573×cancel-sign-sub-inv_binary64
559×fma-def_binary64
535×fma-neg_binary64
366×associate-/l*_binary64
319×div-sub_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021593
148521
2103503
3199503
4539503
51758503
64412503
76942503
Stop Event
1×node limit
Counts
132 → 99
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)
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 (neg.f64 y) 1/2))
(*.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 (neg.f64 y) 1/2))
(*.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 (neg.f64 y) 1/2))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (+.f64 (neg.f64 y) 1/2))
(*.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 (neg.f64 y) 1/2))
(*.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 (neg.f64 y) 1/2))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (+.f64 (neg.f64 y) 1/2))
(*.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 (neg.f64 y) 1/2))
(*.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 (neg.f64 y) 1/2))
(*.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 (+.f64 1/2 y) x))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (neg.f64 (fma.f64 y 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 (+.f64 1/2 y) x))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (neg.f64 (fma.f64 y 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 (+.f64 1/2 y) x))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (neg.f64 (fma.f64 y 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 (+.f64 1/2 y) x))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (neg.f64 (fma.f64 y 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 (+.f64 1/2 y) x))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (neg.f64 (fma.f64 y 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 (+.f64 1/2 y) x))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (neg.f64 (fma.f64 y 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 (+.f64 1/2 y) x))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (neg.f64 (fma.f64 y 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 (+.f64 1/2 y) x))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (neg.f64 (fma.f64 y 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 (+.f64 1/2 y) x))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (neg.f64 (fma.f64 y 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 (+.f64 1/2 y) x))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (neg.f64 (fma.f64 y 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 (+.f64 1/2 y) x))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (neg.f64 (fma.f64 y 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 (+.f64 1/2 y) x))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (neg.f64 (fma.f64 y 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 (neg.f64 (fma.f64 y 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 (neg.f64 (fma.f64 y 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 (neg.f64 (fma.f64 y y -1/4)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 x (*.f64 y y)))
(*.f64 x (*.f64 y (neg.f64 y)))
(*.f64 y (*.f64 y (neg.f64 x)))
(+.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 (neg.f64 (fma.f64 y y -1/4)))
(+.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 (neg.f64 (fma.f64 y y -1/4)))
(+.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 (neg.f64 (fma.f64 y y -1/4)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 x (*.f64 y y)))
(*.f64 x (*.f64 y (neg.f64 y)))
(*.f64 y (*.f64 y (neg.f64 x)))
(+.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 (neg.f64 (fma.f64 y y -1/4)))
(+.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 (neg.f64 (fma.f64 y y -1/4)))
(+.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 (neg.f64 (fma.f64 y y -1/4)))
(*.f64 (-.f64 1/4 (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 (neg.f64 (fma.f64 y y -1/4)))
(*.f64 (-.f64 1/4 (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 (neg.f64 (fma.f64 y y -1/4)))
(*.f64 (-.f64 1/4 (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 (neg.f64 (fma.f64 y y -1/4)))
(*.f64 (-.f64 1/4 (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 (neg.f64 (fma.f64 y y -1/4)))
(*.f64 (-.f64 1/4 (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 (neg.f64 (fma.f64 y y -1/4)))
(*.f64 (-.f64 1/4 (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 (neg.f64 (fma.f64 y y -1/4)))
(*.f64 (-.f64 1/4 (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 (neg.f64 (fma.f64 y y -1/4)))
(*.f64 (-.f64 1/4 (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 (neg.f64 (fma.f64 y y -1/4)))
(*.f64 (-.f64 1/4 (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 (neg.f64 (fma.f64 y y -1/4)))
(*.f64 (-.f64 1/4 (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 (neg.f64 (fma.f64 y y -1/4)))
(*.f64 (-.f64 1/4 (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 (neg.f64 (fma.f64 y y -1/4)))
(*.f64 (-.f64 1/4 (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 (neg.f64 (fma.f64 y y -1/4)))

localize25.0ms (0.2%)

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)

series2.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite83.0ms (0.8%)

Algorithm
1×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
1×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))))))

simplify19.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
1711
Stop Event
1×saturated
Counts
38 → 37
Calls
Call 1
Inputs
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)
Outputs
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)

localize48.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (-.f64 1/2 y))
✓0.0b
(+.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y))) (log.f64 2))
✓0.3b
(*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
✓0.3b
(*.f64 x (sqrt.f64 (-.f64 1/2 y)))
Compiler

Compiled 46 to 34 computations (26.1% saved)

series31.0ms (0.3%)

Counts
4 → 68
Calls

21 calls:

TimeVariablePointExpression
15.0ms
y
@0
(sqrt.f64 (-.f64 1/2 y))
2.0ms
y
@inf
(*.f64 x (sqrt.f64 (-.f64 1/2 y)))
1.0ms
y
@0
(*.f64 x (sqrt.f64 (-.f64 1/2 y)))
1.0ms
x
@0
(*.f64 x (sqrt.f64 (-.f64 1/2 y)))
1.0ms
y
@-inf
(*.f64 x (sqrt.f64 (-.f64 1/2 y)))

rewrite111.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
550×log-prod_binary64
385×pow-prod-down_binary64
330×fma-def_binary64
301×pow2_binary64
209×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01134
124032
2310932
Stop Event
1×node limit
Counts
4 → 148
Calls
Call 1
Inputs
(*.f64 x (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(+.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y))) (log.f64 2))
(sqrt.f64 (-.f64 1/2 y))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1/2 y)) (pow.f64 (-.f64 1/2 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1/2 y) 1/6) (cbrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1/2 y) 1/4) (pow.f64 (-.f64 1/2 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))) (sqrt.f64 (fma.f64 y (+.f64 1/2 y) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (sqrt.f64 (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/2 y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1/2 y) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1/2 y) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1/2 y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1/2 y)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1/2 y) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1/2 y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1/2 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 1/2 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (-.f64 1/2 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1/2 y) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (-.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 1/2 y)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 1/2 y)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/2 y))) 1) 1))))))

simplify78.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
896×associate-/l*_binary64
652×fma-def_binary64
444×associate-/r*_binary64
418×associate-*l*_binary64
414×associate-*l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
054691
1149679
2429673
31362643
46581639
57652639
Stop Event
1×node limit
Counts
216 → 174
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 1/2) x)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 y x) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) x))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 y x) (sqrt.f64 1/2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 (sqrt.f64 1/2) x)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 y x) (sqrt.f64 1/2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 y 3) x) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 (sqrt.f64 1/2) 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 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (/.f64 y (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/2 (/.f64 y (sqrt.f64 1/2)))))
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/2 (/.f64 y (sqrt.f64 1/2))))))
Outputs
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 x (sqrt.f64 1/2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 y x) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) x))
(fma.f64 -1/2 (/.f64 y (/.f64 (sqrt.f64 1/2) x)) (*.f64 x (sqrt.f64 1/2)))
(fma.f64 x (sqrt.f64 1/2) (*.f64 -1/2 (/.f64 y (/.f64 (sqrt.f64 1/2) x))))
(*.f64 x (fma.f64 -1/2 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 y x) (sqrt.f64 1/2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 (sqrt.f64 1/2) x)))
(fma.f64 -1/2 (/.f64 y (/.f64 (sqrt.f64 1/2) x)) (fma.f64 -1/8 (/.f64 (*.f64 x (*.f64 y y)) (pow.f64 (sqrt.f64 1/2) 3)) (*.f64 x (sqrt.f64 1/2))))
(fma.f64 -1/2 (/.f64 y (/.f64 (sqrt.f64 1/2) x)) (fma.f64 x (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 (*.f64 y (*.f64 y x)) (sqrt.f64 1/2)))))
(fma.f64 x (sqrt.f64 1/2) (fma.f64 -1/2 (/.f64 y (/.f64 (sqrt.f64 1/2) x)) (*.f64 (*.f64 (/.f64 (*.f64 y y) (sqrt.f64 1/2)) -1/4) x)))
(fma.f64 x (sqrt.f64 1/2) (*.f64 x (*.f64 (/.f64 y (sqrt.f64 1/2)) (+.f64 (/.f64 y -4) -1/2))))
(*.f64 x (+.f64 (sqrt.f64 1/2) (*.f64 (/.f64 y (sqrt.f64 1/2)) (+.f64 -1/2 (/.f64 y -4)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 y x) (sqrt.f64 1/2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 y 3) x) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 (sqrt.f64 1/2) x))))
(fma.f64 -1/2 (/.f64 y (/.f64 (sqrt.f64 1/2) x)) (fma.f64 -1/8 (/.f64 (*.f64 x (*.f64 y y)) (pow.f64 (sqrt.f64 1/2) 3)) (fma.f64 -1/16 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (sqrt.f64 1/2) 5) x)) (*.f64 x (sqrt.f64 1/2)))))
(+.f64 (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)) x) (*.f64 x (sqrt.f64 1/2))) (fma.f64 -1/2 (/.f64 y (/.f64 (sqrt.f64 1/2) x)) (*.f64 -1/4 (/.f64 (*.f64 y (*.f64 y x)) (sqrt.f64 1/2)))))
(fma.f64 -1/2 (/.f64 y (/.f64 (sqrt.f64 1/2) x)) (fma.f64 -1/4 (/.f64 y (/.f64 (sqrt.f64 1/2) (*.f64 y x))) (fma.f64 x (sqrt.f64 1/2) (*.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 5)) (*.f64 x (pow.f64 y 3))))))
(+.f64 (*.f64 x (fma.f64 -1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)) (sqrt.f64 1/2))) (*.f64 x (*.f64 (/.f64 y (sqrt.f64 1/2)) (+.f64 (/.f64 y -4) -1/2))))
(*.f64 x (+.f64 (sqrt.f64 1/2) (fma.f64 -1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)) (*.f64 (/.f64 y (sqrt.f64 1/2)) (+.f64 -1/2 (/.f64 y -4))))))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.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))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.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))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (/.f64 y (sqrt.f64 1/2))))
(fma.f64 -1/2 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/2 (/.f64 y (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/8 (/.f64 (*.f64 y y) (pow.f64 (sqrt.f64 1/2) 3)) (*.f64 -1/2 (/.f64 y (sqrt.f64 1/2)))))
(+.f64 (fma.f64 -1/2 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 1/2)) (*.f64 -1/4 (/.f64 (*.f64 y y) (sqrt.f64 1/2))))
(fma.f64 -1/2 (/.f64 y (sqrt.f64 1/2)) (fma.f64 -1/4 (/.f64 (*.f64 y y) (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(+.f64 (sqrt.f64 1/2) (*.f64 (/.f64 y (sqrt.f64 1/2)) (+.f64 (/.f64 y -4) -1/2)))
(+.f64 (sqrt.f64 1/2) (*.f64 (/.f64 y (sqrt.f64 1/2)) (+.f64 -1/2 (/.f64 y -4))))
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/2 (/.f64 y (sqrt.f64 1/2))))))
(fma.f64 -1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)) (+.f64 (sqrt.f64 1/2) (fma.f64 -1/8 (/.f64 (*.f64 y y) (pow.f64 (sqrt.f64 1/2) 3)) (*.f64 -1/2 (/.f64 y (sqrt.f64 1/2))))))
(+.f64 (fma.f64 -1/2 (/.f64 y (sqrt.f64 1/2)) (*.f64 -1/4 (/.f64 (*.f64 y y) (sqrt.f64 1/2)))) (fma.f64 -1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)) (sqrt.f64 1/2)))
(fma.f64 -1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)) (fma.f64 -1/2 (/.f64 y (sqrt.f64 1/2)) (fma.f64 -1/4 (/.f64 (*.f64 y y) (sqrt.f64 1/2)) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)) (*.f64 (/.f64 y (sqrt.f64 1/2)) (+.f64 (/.f64 y -4) -1/2))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)) (*.f64 (/.f64 y (sqrt.f64 1/2)) (+.f64 -1/2 (/.f64 y -4)))))

eval185.0ms (1.7%)

Compiler

Compiled 7322 to 5153 computations (29.6% saved)

prune89.0ms (0.8%)

Pruning

25 alts after pruning (16 fresh and 9 done)

PrunedKeptTotal
New47911490
Fresh156
Picked101
Done1910
Total48225507
Error
0.4b
Counts
507 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
53.5b
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) 1) (/.f64 x (+.f64 y 1/2)))
✓61.5b
(*.f64 1/2 x)
36.8b
(+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) (log.f64 2))
14.9b
(-.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 1/8 (*.f64 x 1/24))) (-.f64 1/2 y))) (log.f64 1/2))
27.0b
(*.f64 -1 (log.f64 (+.f64 1/2 (*.f64 -1/4 x))))
27.3b
(log.f64 2)
53.0b
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y))
44.5b
(+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))))) 3)) (sqrt.f64 (-.f64 1/2 y))) (log.f64 2))
27.6b
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
✓36.4b
(*.f64 x (neg.f64 y))
✓5.3b
(-.f64 (log.f64 2) (*.f64 x y))
34.7b
(+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) (sqrt.f64 (-.f64 1/2 y))) (log.f64 2))
✓55.7b
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
53.5b
(*.f64 x (*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (+.f64 y 1/2))))
61.9b
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y))
✓9.6b
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
27.0b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3) (log.f64 2))
✓44.8b
(*.f64 (-.f64 1/2 y) x)
✓27.6b
(log.f64 (+.f64 2 x))
✓26.7b
(log1p.f64 (exp.f64 x))
53.5b
(-.f64 (/.f64 1/4 (/.f64 (+.f64 y 1/2) x)) (/.f64 (*.f64 y y) (/.f64 (+.f64 y 1/2) x)))
✓27.0b
(+.f64 (*.f64 1/2 x) (log.f64 2))
27.0b
(+.f64 (pow.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) 3) (log.f64 2))
12.0b
(*.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))))
53.5b
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x)))
Compiler

Compiled 295 to 234 computations (20.7% saved)

regimes78.0ms (0.7%)

Counts
39 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) 1) (/.f64 x (+.f64 y 1/2)))
(*.f64 x (*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x)))
(-.f64 (/.f64 1/4 (/.f64 (+.f64 y 1/2) x)) (/.f64 (*.f64 y y) (/.f64 (+.f64 y 1/2) x)))
(log.f64 2)
(log.f64 2)
(log.f64 (+.f64 2 x))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (log.f64 (+.f64 1/2 (*.f64 -1/4 x))))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(-.f64 (neg.f64 (log.f64 (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 x y))
(-.f64 (neg.f64 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x))))) (*.f64 x y))
(-.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 1/8 (*.f64 x 1/24))) (-.f64 1/2 y))) (log.f64 1/2))
(log1p.f64 (exp.f64 x))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3) (log.f64 2))
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) (log.f64 2))
(+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) (sqrt.f64 (-.f64 1/2 y))) (log.f64 2))
(+.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y))) (log.f64 2))
(+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6)) (log.f64 2))
(+.f64 (pow.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)) 3) (log.f64 2))
(fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.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 (*.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))))) 3)) (sqrt.f64 (-.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))))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

4 calls:

20.0ms
x
17.0ms
y
17.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
12.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
ErrorSegmentsBranch
1.0b1x
1.0b1y
1.0b1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
1.0b1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 411 to 289 computations (29.7% saved)

regimes46.0ms (0.4%)

Counts
25 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) 1) (/.f64 x (+.f64 y 1/2)))
(*.f64 x (*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x)))
(-.f64 (/.f64 1/4 (/.f64 (+.f64 y 1/2) x)) (/.f64 (*.f64 y y) (/.f64 (+.f64 y 1/2) x)))
(log.f64 2)
(log.f64 2)
(log.f64 (+.f64 2 x))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (log.f64 (+.f64 1/2 (*.f64 -1/4 x))))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(-.f64 (neg.f64 (log.f64 (+.f64 1/2 (*.f64 -1/4 x)))) (*.f64 x y))
(-.f64 (neg.f64 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x))))) (*.f64 x y))
(-.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 1/8 (*.f64 x 1/24))) (-.f64 1/2 y))) (log.f64 1/2))
(log1p.f64 (exp.f64 x))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
Outputs
(*.f64 x (neg.f64 y))
(-.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 1/8 (*.f64 x 1/24))) (-.f64 1/2 y))) (log.f64 1/2))
Calls

2 calls:

27.0ms
x
13.0ms
y
Results
ErrorSegmentsBranch
0.7b2x
5.3b1y
Compiler

Compiled 215 to 141 computations (34.4% saved)

bsearch94.0ms (0.9%)

Algorithm
1×binary-search
Steps
TimeLeftRight
93.0ms
-535216338005.1214
-1637863.7927391827
Compiler

Compiled 16 to 12 computations (25% saved)

regimes39.0ms (0.4%)

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

2 calls:

23.0ms
x
10.0ms
y
Results
ErrorSegmentsBranch
0.9b2x
5.3b1y
Compiler

Compiled 182 to 117 computations (35.7% saved)

bsearch58.0ms (0.5%)

Algorithm
1×binary-search
Steps
TimeLeftRight
57.0ms
-535216338005.1214
-1637863.7927391827
Compiler

Compiled 16 to 12 computations (25% saved)

regimes36.0ms (0.3%)

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

2 calls:

21.0ms
x
9.0ms
y
Results
ErrorSegmentsBranch
0.9b2x
5.3b1y
Compiler

Compiled 148 to 95 computations (35.8% saved)

bsearch105.0ms (1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
105.0ms
-1637863.7927391827
-0.3085517924706349
Compiler

Compiled 16 to 12 computations (25% saved)

regimes70.0ms (0.6%)

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

2 calls:

37.0ms
x
23.0ms
y
Results
ErrorSegmentsBranch
1.2b2x
5.3b1y
Compiler

Compiled 140 to 91 computations (35% saved)

bsearch130.0ms (1.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
130.0ms
-535216338005.1214
-1637863.7927391827
Compiler

Compiled 16 to 12 computations (25% saved)

regimes161.0ms (1.5%)

Counts
15 → 3
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) 1) (/.f64 x (+.f64 y 1/2)))
(*.f64 x (*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x)))
(-.f64 (/.f64 1/4 (/.f64 (+.f64 y 1/2) x)) (/.f64 (*.f64 y y) (/.f64 (+.f64 y 1/2) x)))
(log.f64 2)
(log.f64 2)
(log.f64 (+.f64 2 x))
(+.f64 (*.f64 1/2 x) (log.f64 2))
Outputs
(*.f64 x (neg.f64 y))
(log.f64 (+.f64 2 x))
(*.f64 (-.f64 1/2 y) x)
Calls

2 calls:

104.0ms
y
49.0ms
x
Results
ErrorSegmentsBranch
10.2b3x
18.3b5y
Compiler

Compiled 126 to 80 computations (36.5% saved)

bsearch51.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
2.872406964652479e-11
4.269260336292636e-11
26.0ms
-9.026372387196853e-25
-2.4076102254107135e-27
Compiler

Compiled 16 to 12 computations (25% saved)

regimes83.0ms (0.8%)

Counts
13 → 3
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) 1) (/.f64 x (+.f64 y 1/2)))
(*.f64 x (*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x)))
(-.f64 (/.f64 1/4 (/.f64 (+.f64 y 1/2) x)) (/.f64 (*.f64 y y) (/.f64 (+.f64 y 1/2) x)))
(log.f64 2)
(log.f64 2)
Outputs
(*.f64 x (neg.f64 y))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
Calls

2 calls:

42.0ms
y
24.0ms
x
Results
ErrorSegmentsBranch
10.3b3x
18.8b5y
Compiler

Compiled 116 to 72 computations (37.9% saved)

bsearch57.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
31.0ms
2.872406964652479e-11
4.269260336292636e-11
25.0ms
-9.026372387196853e-25
-2.4076102254107135e-27
Compiler

Compiled 16 to 12 computations (25% saved)

regimes18.0ms (0.2%)

Accuracy

Total -26.5b remaining (-72.8%)

Threshold costs -26.5b (-72.8%)

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

2 calls:

8.0ms
y
7.0ms
x
Results
ErrorSegmentsBranch
36.4b1x
36.4b1y
Compiler

Compiled 112 to 68 computations (39.3% saved)

simplify24.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
13×+-commutative_binary64
11×*-commutative_binary64
9×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046185
176185
290185
397185
4100185
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -8768984481875909/16384) (*.f64 x (neg.f64 y)) (-.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 1/8 (*.f64 x 1/24))) (-.f64 1/2 y))) (log.f64 1/2)))
(if (<=.f64 x -8768984481875909/16384) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -54957589258729/33554432) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))
(if (<=.f64 x -8768984481875909/16384) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -4914424577000235/5444517870735015415413993718908291383296) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2222417244165931/77371252455336267181195264) (log.f64 (+.f64 2 x)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -4914424577000235/5444517870735015415413993718908291383296) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2222417244165931/77371252455336267181195264) (log.f64 2) (*.f64 (-.f64 1/2 y) x)))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -8768984481875909/16384) (*.f64 x (neg.f64 y)) (-.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 1/8 (*.f64 x 1/24))) (-.f64 1/2 y))) (log.f64 1/2)))
(if (<=.f64 x -8768984481875909/16384) (*.f64 y (neg.f64 x)) (-.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 1/8 (*.f64 x 1/24))) (-.f64 1/2 y))) (log.f64 1/2)))
(if (<=.f64 x -8768984481875909/16384) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -8768984481875909/16384) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -8768984481875909/16384) (*.f64 y (neg.f64 x)) (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -54957589258729/33554432) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))
(if (<=.f64 x -54957589258729/33554432) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)))
(if (<=.f64 x -54957589258729/33554432) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)))
(if (<=.f64 x -8768984481875909/16384) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -8768984481875909/16384) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -4914424577000235/5444517870735015415413993718908291383296) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2222417244165931/77371252455336267181195264) (log.f64 (+.f64 2 x)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -4914424577000235/5444517870735015415413993718908291383296) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2222417244165931/77371252455336267181195264) (log.f64 (+.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -4914424577000235/5444517870735015415413993718908291383296) (*.f64 y (neg.f64 x)) (if (<=.f64 x 2222417244165931/77371252455336267181195264) (log.f64 (+.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -4914424577000235/5444517870735015415413993718908291383296) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2222417244165931/77371252455336267181195264) (log.f64 2) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -4914424577000235/5444517870735015415413993718908291383296) (*.f64 x (neg.f64 y)) (if (<=.f64 x 2222417244165931/77371252455336267181195264) (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -4914424577000235/5444517870735015415413993718908291383296) (*.f64 y (neg.f64 x)) (if (<=.f64 x 2222417244165931/77371252455336267181195264) (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)
(*.f64 x 1/2)
Compiler

Compiled 142 to 100 computations (29.6% saved)

soundness440.0ms (4.1%)

Algorithm
3×egg-herbie
Rules
627×fma-neg_binary64
581×associate-*l*_binary64
537×distribute-lft-out_binary64
479×fma-neg_binary64
479×fma-def_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
034363
186333
2182333
3431321
41389321
53841321
078652
1251580
2765548
32570547
46663547
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 466 to 365 computations (21.7% saved)

end77.0ms (0.7%)

Compiler

Compiled 126 to 70 computations (44.4% saved)

Profiling

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