Details

Time bar (total: 3.3s)

analyze398.0ms (12.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%74.9%25.1%6
6.2%68.6%25.1%7
9.4%65.5%25.1%8
14%35.9%50.1%9
21.1%28.9%50.1%10
24.6%25.4%50.1%11
28.7%21.3%50.1%12
33.4%16.5%50.1%13
35.8%14.1%50.1%14
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.1s (33.9%)

Results
1.1s8253×body128valid
4.0ms34×body128invalid
1.0msbody1024valid
0.0msbody512valid
Compiler

Compiled 32 to 22 computations (31.3% saved)

preprocess41.0ms (1.2%)

Algorithm
egg-herbie
Rules
530×sub-neg_binary64
370×+-commutative_binary64
363×fma-def_binary64
188×associate-+l-_binary64
183×associate-+l+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02672
17572
224264
3106264
4317164
5490764
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(-.f64 (+.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) x) z)
(-.f64 (+.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) y) x)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 z 1/2) (log.f64 z))) z) y)
Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y z))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x (-.f64 z y)))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) (-.f64 y z))
(-.f64 (+.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) x) z)
(+.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) (-.f64 x z))
(+.f64 x (-.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) z))
(+.f64 y (-.f64 (fma.f64 (log.f64 x) (-.f64 -1/2 x) x) z))
(fma.f64 (log.f64 x) (-.f64 -1/2 x) (-.f64 x (-.f64 z y)))
(-.f64 (+.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) y) x)
(+.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y x))
(+.f64 y (-.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) x))
(+.f64 z (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 z x)))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 z 1/2) (log.f64 z))) z) y)
(+.f64 (-.f64 x (*.f64 (+.f64 1/2 z) (log.f64 z))) (-.f64 z y))
(+.f64 x (fma.f64 (log.f64 z) (-.f64 -1/2 z) (-.f64 z y)))
(+.f64 z (fma.f64 (log.f64 z) (-.f64 -1/2 z) (-.f64 x y)))
(+.f64 x (-.f64 z (fma.f64 (-.f64 z -1/2) (log.f64 z) y)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify32.0ms (1%)

Algorithm
egg-herbie
Rules
780×fma-neg_binary64
402×fma-def_binary64
312×cancel-sign-sub-inv_binary64
267×sub-neg_binary64
242×unsub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01118
12518
27716
331216
494716
5280816
6440416
7489416
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) y)) z)
(+.f64 y (-.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) (-.f64 y z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.1b
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
0.1b
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
Compiler

Compiled 84 to 53 computations (36.9% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series28.0ms (0.8%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
10.0ms
y
@0
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
4.0ms
y
@-inf
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
3.0ms
x
@0
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
2.0ms
y
@inf
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
2.0ms
z
@0
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))

rewrite58.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
484×fma-def_binary64
233×fma-neg_binary64
219×expm1-udef_binary64
219×log1p-udef_binary64
125×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
123126
2334526
Stop Event
node limit
Counts
2 → 108
Calls
Call 1
Inputs
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 3) (pow.f64 y 3)) (fma.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (*.f64 (log.f64 y) (-.f64 -1/2 y)) (-.f64 (*.f64 y y) (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) (*.f64 y y)) (-.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 y) (exp.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (exp.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 z (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2) (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x) z)) (/.f64 (pow.f64 (-.f64 x z) 2) (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)) 2) (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)) (sqrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 3) (pow.f64 (-.f64 x z) 3)) (/.f64 1 (fma.f64 (-.f64 x z) (-.f64 (-.f64 x z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2) (pow.f64 (-.f64 x z) 2)) (/.f64 1 (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (-.f64 x z) (-.f64 (-.f64 x z) (fma.f64 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log.f64 (exp.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (*.f64 (exp.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (exp.f64 x)) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))) (+.f64 1 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (*.f64 (exp.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (exp.f64 x)) (+.f64 1 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))) (exp.f64 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (+.f64 1 (expm1.f64 (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 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((x log.f64 (*.f64 (*.f64 (exp.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (exp.f64 x)) (/.f64 1 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1 (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (fma.f64 -1 z (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (neg.f64 (-.f64 z (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x z) 1 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 -1 z (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (-.f64 z (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 x z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 x z)) (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (cbrt.f64 (-.f64 x z)) (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x 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(-.f64 z (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x z)) (sqrt.f64 (-.f64 x z)) (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 -1 z (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (-.f64 z (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 x x (*.f64 z (+.f64 x z)))) (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 1 (+.f64 x z)) (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)))) (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))) (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)))) (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) (sqrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))) (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (-.f64 (sqrt.f64 x) (sqrt.f64 z)) (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 (-.f64 -1/2 y))) (*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 (-.f64 -1/2 y))) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (sqrt.f64 (-.f64 -1/2 y))) (sqrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)) 1))))))

simplify44.0ms (1.3%)

Algorithm
egg-herbie
Rules
765×fma-def_binary64
567×associate--l+_binary64
463×associate-+l-_binary64
308×sub-neg_binary64
300×+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058694
1177628
2530628
31687608
Stop Event
node limit
Counts
156 → 130
Calls
Call 1
Inputs
(*.f64 -1/2 (log.f64 y))
(-.f64 y (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y))))
(-.f64 y (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y))))
(-.f64 y (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y))))
(*.f64 (+.f64 1 (log.f64 (/.f64 1 y))) y)
(+.f64 y (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(+.f64 y (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(+.f64 y (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(*.f64 -1 (*.f64 y (-.f64 (log.f64 -1) (+.f64 1 (log.f64 (/.f64 -1 y))))))
(-.f64 (+.f64 (*.f64 1/2 (log.f64 (/.f64 -1 y))) (+.f64 y (*.f64 (log.f64 (/.f64 -1 y)) y))) (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 (log.f64 -1))))
(-.f64 (+.f64 (*.f64 1/2 (log.f64 (/.f64 -1 y))) (+.f64 y (*.f64 (log.f64 (/.f64 -1 y)) y))) (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 (log.f64 -1))))
(-.f64 (+.f64 (*.f64 1/2 (log.f64 (/.f64 -1 y))) (+.f64 y (*.f64 (log.f64 (/.f64 -1 y)) y))) (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 (log.f64 -1))))
(-.f64 x (+.f64 z (*.f64 1/2 (log.f64 y))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(*.f64 (+.f64 1 (log.f64 (/.f64 1 y))) y)
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))) z)
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))) z)
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))) z)
(*.f64 -1 (*.f64 y (-.f64 (log.f64 -1) (+.f64 1 (log.f64 (/.f64 -1 y))))))
(-.f64 (+.f64 (*.f64 1/2 (log.f64 (/.f64 -1 y))) (+.f64 y (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) y) x))) (+.f64 (*.f64 y (log.f64 -1)) (+.f64 z (*.f64 1/2 (log.f64 -1)))))
(-.f64 (+.f64 (*.f64 1/2 (log.f64 (/.f64 -1 y))) (+.f64 y (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) y) x))) (+.f64 (*.f64 y (log.f64 -1)) (+.f64 z (*.f64 1/2 (log.f64 -1)))))
(-.f64 (+.f64 (*.f64 1/2 (log.f64 (/.f64 -1 y))) (+.f64 y (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) y) x))) (+.f64 (*.f64 y (log.f64 -1)) (+.f64 z (*.f64 1/2 (log.f64 -1)))))
(-.f64 y (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
x
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
x
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(*.f64 -1 z)
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(*.f64 -1 z)
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
Outputs
(*.f64 -1/2 (log.f64 y))
(-.f64 y (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y))))
(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2) y)
(-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(-.f64 y (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y))))
(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2) y)
(-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(-.f64 y (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y))))
(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2) y)
(-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(*.f64 (+.f64 1 (log.f64 (/.f64 1 y))) y)
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(-.f64 y (*.f64 y (log.f64 y)))
(+.f64 y (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2) y)
(-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(+.f64 y (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2) y)
(-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(+.f64 y (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2) y)
(-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(*.f64 -1 (*.f64 y (-.f64 (log.f64 -1) (+.f64 1 (log.f64 (/.f64 -1 y))))))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 (+.f64 (*.f64 1/2 (log.f64 (/.f64 -1 y))) (+.f64 y (*.f64 (log.f64 (/.f64 -1 y)) y))) (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 (log.f64 -1))))
(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2) y)
(-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(-.f64 (+.f64 (*.f64 1/2 (log.f64 (/.f64 -1 y))) (+.f64 y (*.f64 (log.f64 (/.f64 -1 y)) y))) (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 (log.f64 -1))))
(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2) y)
(-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(-.f64 (+.f64 (*.f64 1/2 (log.f64 (/.f64 -1 y))) (+.f64 y (*.f64 (log.f64 (/.f64 -1 y)) y))) (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 (log.f64 -1))))
(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2) y)
(-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(-.f64 x (+.f64 z (*.f64 1/2 (log.f64 y))))
(-.f64 (-.f64 x z) (*.f64 (log.f64 y) 1/2))
(-.f64 x (fma.f64 (log.f64 y) 1/2 z))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(*.f64 (+.f64 1 (log.f64 (/.f64 1 y))) y)
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))) z)
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))) z)
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))) z)
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(*.f64 -1 (*.f64 y (-.f64 (log.f64 -1) (+.f64 1 (log.f64 (/.f64 -1 y))))))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 (+.f64 (*.f64 1/2 (log.f64 (/.f64 -1 y))) (+.f64 y (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) y) x))) (+.f64 (*.f64 y (log.f64 -1)) (+.f64 z (*.f64 1/2 (log.f64 -1)))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 (*.f64 1/2 (log.f64 (/.f64 -1 y))) (+.f64 y (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) y) x))) (+.f64 (*.f64 y (log.f64 -1)) (+.f64 z (*.f64 1/2 (log.f64 -1)))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 (*.f64 1/2 (log.f64 (/.f64 -1 y))) (+.f64 y (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) y) x))) (+.f64 (*.f64 y (log.f64 -1)) (+.f64 z (*.f64 1/2 (log.f64 -1)))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 y (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 y (+.f64 (*.f64 (log.f64 y) (+.f64 1/2 y)) z))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
x
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
x
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 x (fma.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2) y))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(*.f64 -1 z)
(neg.f64 z)
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(*.f64 -1 z)
(neg.f64 z)
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))

prune92.0ms (2.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1255130
Fresh101
Picked011
Done000
Total1266132
Error
0.0b
Counts
132 → 6
Alt Table
StatusErrorProgram
0.1b
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
0.5b
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
32.7b
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
0.5b
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
0.5b
(fma.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) (-.f64 x z))
0.5b
(+.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 3) (-.f64 x z))
Compiler

Compiled 2548 to 1279 computations (49.8% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
0.2b
(cbrt.f64 (-.f64 -1/2 y))
0.4b
(*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2))
0.7b
(pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)

series47.0ms (1.4%)

Counts
4 → 44
Calls

18 calls:

TimeVariablePointExpression
11.0ms
y
@0
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
6.0ms
y
@0
(pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)
5.0ms
y
@0
(*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2))
4.0ms
y
@inf
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
4.0ms
x
@0
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))

rewrite64.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
275×expm1-udef_binary64
275×log1p-udef_binary64
160×add-sqr-sqrt_binary64
155×pow1_binary64
154×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01458
131247
2414547
Stop Event
node limit
Counts
4 → 84
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)
(*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2))
(cbrt.f64 (-.f64 -1/2 y))
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 -1/2 y)) (cbrt.f64 (-.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 -1/2 y))) (cbrt.f64 (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 -1/2 y) 1/6) (*.f64 (pow.f64 (-.f64 -1/2 y) 1/6) (cbrt.f64 (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 -1/2 y)) (pow.f64 (-.f64 -1/2 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 -1/2 y)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 -1/2 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 -1/2 y)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2) (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2) (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2) (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2) (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (-.f64 -1/2 y)) (sqrt.f64 (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2) (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 -1/2 y) 2) (pow.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (-.f64 -1/2 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2) (log.f64 y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 -1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 -1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 -1/2 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 -1/2 y) 1/6) (pow.f64 (-.f64 -1/2 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 -1/2 y)) 1/3) (pow.f64 (sqrt.f64 (-.f64 -1/2 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 -1/8 (pow.f64 y 3))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (cbrt.f64 (+.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1/2 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 -1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -1/2 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (-.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 -1/2 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 -1/2 y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 1) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) y) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (-.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 2)) (cbrt.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))) (sqrt.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 3) (pow.f64 (+.f64 y (-.f64 x z)) 3)) (+.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) (-.f64 (pow.f64 (+.f64 y (-.f64 x z)) 2) (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) (pow.f64 (+.f64 y (-.f64 x z)) 2)) (-.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))) 1))))))

simplify48.0ms (1.5%)

Algorithm
egg-herbie
Rules
692×times-frac_binary64
493×cancel-sign-sub-inv_binary64
262×associate-*r*_binary64
211×associate-*l*_binary64
187×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01861734
16361675
225921665
Stop Event
node limit
Counts
128 → 126
Calls
Call 1
Inputs
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 1/2) 2))
(+.f64 (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 2/3 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (cbrt.f64 1/2) 1/3))))
(-.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 2/3 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (cbrt.f64 1/2) 1/3)))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))))
(-.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 2/3 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (cbrt.f64 1/2) 1/3))) (*.f64 8/81 (*.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 1/4) (log.f64 y)))
(+.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 1/4) (log.f64 y))) (*.f64 1/3 (*.f64 (*.f64 y (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3))))
(-.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 1/4) (log.f64 y))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 y (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (cbrt.f64 1/4) 2))))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 7)) 1/3))))
(-.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 1/4) (log.f64 y))) (+.f64 (*.f64 5/81 (/.f64 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (cbrt.f64 1/4) 4))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 y (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (cbrt.f64 1/4) 2)))))) (+.f64 (*.f64 2/9 (*.f64 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 11)) 1/3))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 7)) 1/3)))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 1/2))
(+.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (*.f64 y (cbrt.f64 -1)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))))
(-.f64 (+.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (*.f64 y (cbrt.f64 -1)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 -1)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3))))
(-.f64 (+.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 -1)) (+.f64 (*.f64 5/81 (/.f64 (*.f64 (pow.f64 y 3) (cbrt.f64 -1)) (pow.f64 (cbrt.f64 1/2) 4))) (*.f64 1/3 (*.f64 (*.f64 y (cbrt.f64 -1)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 -1)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3))))
(-.f64 x (+.f64 z (*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 (*.f64 1/3 (*.f64 (*.f64 y (*.f64 (cbrt.f64 1/2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 y (*.f64 (cbrt.f64 1/4) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))) (+.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (log.f64 y))) z))))
(-.f64 (+.f64 y (+.f64 (*.f64 1/9 (*.f64 (*.f64 (pow.f64 y 2) (*.f64 (cbrt.f64 1/2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 7)) 1/3))) (+.f64 (*.f64 1/9 (*.f64 (*.f64 (pow.f64 y 2) (*.f64 (cbrt.f64 1/4) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3))) x))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 y (*.f64 (cbrt.f64 1/2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3))) (+.f64 (*.f64 1/9 (*.f64 (*.f64 (pow.f64 y 2) (log.f64 y)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (cbrt.f64 1/4) 2))) 1/3))) (+.f64 z (+.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (log.f64 y))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 y (*.f64 (cbrt.f64 1/4) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 2) (*.f64 (cbrt.f64 1/2) (log.f64 y))) (pow.f64 (cbrt.f64 1/4) 2)))))))))
(-.f64 (+.f64 (*.f64 1/27 (*.f64 (*.f64 (pow.f64 y 3) (log.f64 y)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 1/2) 7) (pow.f64 (cbrt.f64 1/4) 2))) 1/3))) (+.f64 (*.f64 2/9 (*.f64 (*.f64 (pow.f64 y 3) (*.f64 (cbrt.f64 1/2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 11)) 1/3))) (+.f64 (*.f64 1/27 (*.f64 (*.f64 (pow.f64 y 3) (log.f64 y)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (cbrt.f64 1/4) 7))) 1/3))) (+.f64 y (+.f64 (*.f64 1/9 (*.f64 (*.f64 (pow.f64 y 2) (*.f64 (cbrt.f64 1/2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 7)) 1/3))) (+.f64 (*.f64 1/9 (*.f64 (*.f64 (pow.f64 y 2) (*.f64 (cbrt.f64 1/4) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3))) x)))))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 y (*.f64 (cbrt.f64 1/2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3))) (+.f64 (*.f64 5/81 (/.f64 (*.f64 (pow.f64 y 3) (*.f64 (cbrt.f64 1/4) (log.f64 y))) (pow.f64 (cbrt.f64 1/2) 4))) (+.f64 (*.f64 1/9 (*.f64 (*.f64 (pow.f64 y 2) (log.f64 y)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (cbrt.f64 1/4) 2))) 1/3))) (+.f64 z (+.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (log.f64 y))) (+.f64 (*.f64 1/9 (*.f64 (/.f64 (*.f64 (pow.f64 y 3) (log.f64 y)) (pow.f64 (cbrt.f64 1/4) 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 y (*.f64 (cbrt.f64 1/4) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 2) (*.f64 (cbrt.f64 1/2) (log.f64 y))) (pow.f64 (cbrt.f64 1/4) 2))) (*.f64 5/81 (/.f64 (*.f64 (pow.f64 y 3) (*.f64 (cbrt.f64 1/2) (log.f64 y))) (pow.f64 (cbrt.f64 1/4) 4))))))))))))
y
(-.f64 (+.f64 y x) z)
y
(-.f64 (+.f64 y x) z)
(-.f64 y (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
x
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
x
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(*.f64 -1 z)
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(*.f64 -1 z)
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
Outputs
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 1/2) 2))
(+.f64 (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 2/3 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (cbrt.f64 1/2) 1/3))))
(fma.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (cbrt.f64 -1) 2) (*.f64 2/3 (*.f64 y (*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (cbrt.f64 1/2))))))
(fma.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 1/2) 2) (*.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 y (cbrt.f64 (cbrt.f64 1/2))))))
(-.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 2/3 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (cbrt.f64 1/2) 1/3)))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))))
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (cbrt.f64 -1) 2) (*.f64 2/3 (*.f64 y (*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (cbrt.f64 1/2)))))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 y y)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))))
(fma.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 1/2) 2) (fma.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 y (cbrt.f64 (cbrt.f64 1/2)))) (*.f64 (*.f64 -1/9 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 y y))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))))
(fma.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 1/2) 2) (fma.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 y (cbrt.f64 (cbrt.f64 1/2)))) (*.f64 (*.f64 -1/9 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 y y))) (cbrt.f64 (/.f64 1 (*.f64 1/2 (cbrt.f64 1/2)))))))
(-.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 2/3 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (cbrt.f64 1/2) 1/3))) (*.f64 8/81 (*.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (cbrt.f64 -1) 2) (fma.f64 2/3 (*.f64 y (*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (cbrt.f64 1/2)))) (*.f64 8/81 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 y 3))))) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 y y)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 1/2) 2) (fma.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 y (cbrt.f64 (cbrt.f64 1/2)))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 8/81 (pow.f64 y 3))))) (*.f64 (*.f64 -1/9 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 y y))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 1/2) 2) (fma.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 y (cbrt.f64 (cbrt.f64 1/2)))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 8/81 (pow.f64 y 3))))) (*.f64 (*.f64 -1/9 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 y y))) (cbrt.f64 (/.f64 1 (*.f64 1/2 (cbrt.f64 1/2))))))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 1/4) (log.f64 y)))
(+.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 1/4) (log.f64 y))) (*.f64 1/3 (*.f64 (*.f64 y (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3))))
(fma.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 1/4) (log.f64 y)) (*.f64 1/3 (*.f64 (*.f64 y (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))))
(fma.f64 (*.f64 1/3 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 y (log.f64 y)))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 1/4) (log.f64 y))))
(-.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 1/4) (log.f64 y))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 y (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (cbrt.f64 1/4) 2))))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 7)) 1/3))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 1/4) (log.f64 y)) (*.f64 1/3 (+.f64 (*.f64 (*.f64 y (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (/.f64 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (cbrt.f64 1/4) 2))))) (*.f64 -1/9 (*.f64 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 7))))))
(fma.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 1/4) (log.f64 y)) (fma.f64 1/3 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 y (log.f64 y))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (*.f64 (/.f64 (*.f64 y y) (pow.f64 (cbrt.f64 1/4) 2)) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (log.f64 y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 7)))))) -1/9)))
(fma.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 1/4) (log.f64 y)) (fma.f64 1/3 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 y (log.f64 y))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (*.f64 (/.f64 (*.f64 y y) (pow.f64 (cbrt.f64 1/4) 2)) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 7))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 y (*.f64 y (log.f64 y)))) -1/9))))
(-.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 1/4) (log.f64 y))) (+.f64 (*.f64 5/81 (/.f64 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (cbrt.f64 1/4) 4))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 y (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (cbrt.f64 1/4) 2)))))) (+.f64 (*.f64 2/9 (*.f64 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 11)) 1/3))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 7)) 1/3)))))
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 1/4) (log.f64 y)) (fma.f64 5/81 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (cbrt.f64 1/4) 4) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)))) (*.f64 1/3 (+.f64 (*.f64 (*.f64 y (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (/.f64 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (cbrt.f64 1/4) 2)))))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 11)))) (*.f64 1/9 (*.f64 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 7)))))))
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 1/4) (log.f64 y)) (fma.f64 1/3 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 y (log.f64 y))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (*.f64 (/.f64 (*.f64 y y) (pow.f64 (cbrt.f64 1/4) 2)) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)))) (*.f64 5/81 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 1/4) 4)) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)))))) (fma.f64 1/9 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (log.f64 y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 7)))))) (*.f64 2/9 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (log.f64 y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 11)))))))))
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 1/4) (log.f64 y)) (fma.f64 1/3 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 y (log.f64 y))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (*.f64 (/.f64 (*.f64 y y) (pow.f64 (cbrt.f64 1/4) 2)) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)))) (*.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (pow.f64 y 3) (log.f64 y))) (cbrt.f64 1/4)) 20/81))) (fma.f64 1/9 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (log.f64 y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 7)))))) (*.f64 2/9 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (log.f64 y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 11)))))))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 1/2))
(+.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (*.f64 y (cbrt.f64 -1)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))))
(fma.f64 (cbrt.f64 1/2) (cbrt.f64 -1) (*.f64 1/3 (*.f64 (*.f64 (cbrt.f64 -1) y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 1/2) (*.f64 y (*.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) 1/3)))
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y
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(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))
x
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))
x
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))
(-.f64 (+.f64 y x) (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y))))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))
(*.f64 -1 z)
(neg.f64 z)
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))
(*.f64 -1 z)
(neg.f64 z)
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))

prune176.0ms (5.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1571158
Fresh044
Picked011
Done011
Total1577164
Error
0.0b
Counts
164 → 7
Alt Table
StatusErrorProgram
0.1b
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
0.5b
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
32.7b
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
0.5b
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
0.5b
(fma.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) (-.f64 x z))
0.5b
(+.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 3) (-.f64 x z))
0.6b
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 -1/2 y))) 3) (+.f64 y (-.f64 x z)))
Compiler

Compiled 5086 to 3391 computations (33.3% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) (-.f64 x z))
0.1b
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
0.5b
(cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
0.5b
(pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2)

series71.0ms (2.2%)

Counts
3 → 38
Calls

15 calls:

TimeVariablePointExpression
39.0ms
y
@0
(fma.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) (-.f64 x z))
13.0ms
y
@0
(pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2)
11.0ms
y
@0
(cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
1.0ms
x
@0
(fma.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) (-.f64 x z))
1.0ms
y
@inf
(pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2)

rewrite60.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
649×prod-diff_binary64
243×log1p-udef_binary64
143×add-sqr-sqrt_binary64
138×pow1_binary64
137×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01360
128243
2353043
Stop Event
node limit
Counts
3 → 65
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2)
(cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(fma.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) (-.f64 x z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))) (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1/6) (*.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1/6) (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1/6) (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))) 2) (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))) (sqrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 3) (pow.f64 (-.f64 x z) 3)) (+.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2) (-.f64 (pow.f64 (-.f64 x z) 2) (*.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2) (pow.f64 (-.f64 x z) 2)) (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))) 1))))))

simplify68.0ms (2.1%)

Algorithm
egg-herbie
Rules
507×unswap-sqr_binary64
339×associate-*r*_binary64
332×fma-def_binary64
282×times-frac_binary64
259×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02692663
18932497
237202485
Stop Event
node limit
Counts
103 → 100
Calls
Call 1
Inputs
(*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 (pow.f64 (log.f64 y) 2) 1/3))
(-.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 (pow.f64 (log.f64 y) 2) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 -1/2) 1/3) (*.f64 y (pow.f64 (log.f64 y) 1/9))))) (*.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 -1/2) 1/3) (*.f64 y (pow.f64 (pow.f64 (log.f64 y) 10) 1/9)))))
(-.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 (pow.f64 (log.f64 y) 2) 1/3)) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 -1/2) 1/3) (*.f64 y (pow.f64 (log.f64 y) 1/9)))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (*.f64 (pow.f64 y 2) (pow.f64 (pow.f64 (log.f64 y) 5) 1/9)))))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 -1/2) 1/3) (*.f64 y (pow.f64 (pow.f64 (log.f64 y) 10) 1/9)))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 4)) 1/9)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (*.f64 (pow.f64 y 2) (pow.f64 (pow.f64 (log.f64 y) 14) 1/9)))))))
(-.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (*.f64 (pow.f64 y 2) (pow.f64 (pow.f64 (log.f64 y) 5) 1/9)))) (+.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 (pow.f64 (log.f64 y) 2) 1/3)) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 -1/2) 1/3) (*.f64 y (pow.f64 (log.f64 y) 1/9)))) (+.f64 (*.f64 8/27 (pow.f64 y 3)) (*.f64 8/81 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 2))))))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 -1/2) 1/3) (*.f64 y (pow.f64 (pow.f64 (log.f64 y) 10) 1/9)))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 4)) 1/9)))) (+.f64 (*.f64 8/81 (/.f64 (pow.f64 y 3) (log.f64 y))) (+.f64 (*.f64 8/27 (*.f64 (pow.f64 y 3) (log.f64 y))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (*.f64 (pow.f64 y 2) (pow.f64 (pow.f64 (log.f64 y) 14) 1/9)))))))))
(*.f64 (cbrt.f64 -1/2) (pow.f64 (log.f64 y) 1/3))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) 1/9)))) (*.f64 (cbrt.f64 -1/2) (pow.f64 (log.f64 y) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (*.f64 y (pow.f64 (pow.f64 (log.f64 y) 7) 1/9)))))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) 1/9)))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7)) 1/3) (*.f64 (pow.f64 y 2) (pow.f64 (pow.f64 (log.f64 y) 2) 1/9)))) (*.f64 (cbrt.f64 -1/2) (pow.f64 (log.f64 y) 1/3)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (*.f64 y (pow.f64 (pow.f64 (log.f64 y) 7) 1/9)))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7)) 1/3) (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 7)) 1/9)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7)) 1/3) (*.f64 (pow.f64 y 2) (pow.f64 (pow.f64 (log.f64 y) 11) 1/9)))))))
(-.f64 (+.f64 (*.f64 5/81 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1/2) 4)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 4)) 1/3))) (+.f64 (*.f64 5/27 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1/2) 4)) (pow.f64 (pow.f64 (log.f64 y) 2) 1/3))) (+.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 (log.f64 y) 1/3)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) 1/9)))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7)) 1/3) (*.f64 (pow.f64 y 2) (pow.f64 (pow.f64 (log.f64 y) 2) 1/9)))))))) (+.f64 (*.f64 5/81 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1/2) 4)) (pow.f64 (pow.f64 (log.f64 y) 5) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (*.f64 y (pow.f64 (pow.f64 (log.f64 y) 7) 1/9)))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7)) 1/3) (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 7)) 1/9)))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7)) 1/3) (*.f64 (pow.f64 y 2) (pow.f64 (pow.f64 (log.f64 y) 11) 1/9)))) (*.f64 5/27 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1/2) 4)) (pow.f64 (/.f64 1 (log.f64 y)) 1/3))))))))
(-.f64 x (+.f64 z (*.f64 1/2 (log.f64 y))))
(-.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (*.f64 y (pow.f64 (pow.f64 (log.f64 y) 4) 1/9))) x) (+.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (*.f64 y (pow.f64 (pow.f64 (log.f64 y) 13) 1/9))) (+.f64 z (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 (*.f64 8/27 (*.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 y 3)) (pow.f64 (log.f64 y) 1/3))) (+.f64 (*.f64 4/81 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (log.f64 y) 7) 1/3))) (+.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (*.f64 y (pow.f64 (pow.f64 (log.f64 y) 4) 1/9))) (+.f64 (*.f64 8/81 (*.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 y 3)) (pow.f64 (pow.f64 (log.f64 y) 7) 1/3))) (+.f64 x (*.f64 4/27 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (log.f64 y) 1/3)))))))) (+.f64 (*.f64 4/81 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) 1/3))) (+.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (*.f64 y (pow.f64 (pow.f64 (log.f64 y) 13) 1/9))) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 8/81 (*.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) 1/3))) (+.f64 (*.f64 4/27 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (log.f64 y) 4) 1/3))) (*.f64 8/27 (*.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 y 3)) (pow.f64 (pow.f64 (log.f64 y) 4) 1/3))))))))))
(-.f64 (+.f64 (*.f64 16/243 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 11)) 1/3) (*.f64 (pow.f64 y 4) (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) 1/9)))) (+.f64 (*.f64 8/27 (*.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 y 3)) (pow.f64 (log.f64 y) 1/3))) (+.f64 (*.f64 4/81 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (log.f64 y) 7) 1/3))) (+.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (*.f64 y (pow.f64 (pow.f64 (log.f64 y) 4) 1/9))) (+.f64 (*.f64 8/81 (*.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 y 3)) (pow.f64 (pow.f64 (log.f64 y) 7) 1/3))) (+.f64 (*.f64 16/243 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 11)) 1/3) (*.f64 (pow.f64 y 4) (pow.f64 (pow.f64 (log.f64 y) 16) 1/9)))) (+.f64 (*.f64 32/243 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (*.f64 (pow.f64 y 4) (pow.f64 (pow.f64 (log.f64 y) 16) 1/9)))) (+.f64 (*.f64 32/243 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (*.f64 (pow.f64 y 4) (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) 1/9)))) (+.f64 x (*.f64 4/27 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (log.f64 y) 1/3)))))))))))) (+.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (*.f64 y (pow.f64 (pow.f64 (log.f64 y) 13) 1/9))) (+.f64 (*.f64 4/243 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 11)) 1/3) (*.f64 (pow.f64 y 4) (pow.f64 (pow.f64 (log.f64 y) 25) 1/9)))) (+.f64 (*.f64 8/81 (*.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) 1/3))) (+.f64 (*.f64 8/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 11)) 1/3) (*.f64 (pow.f64 y 4) (pow.f64 (pow.f64 (log.f64 y) 7) 1/9)))) (+.f64 (*.f64 8/243 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (*.f64 (pow.f64 y 4) (pow.f64 (pow.f64 (log.f64 y) 25) 1/9)))) (+.f64 (*.f64 8/27 (*.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 y 3)) (pow.f64 (pow.f64 (log.f64 y) 4) 1/3))) (+.f64 (*.f64 16/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (*.f64 (pow.f64 y 4) (pow.f64 (pow.f64 (log.f64 y) 7) 1/9)))) (+.f64 (*.f64 4/81 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) 1/3))) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 4/243 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 11)) 1/3) (*.f64 (pow.f64 y 4) (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 11)) 1/9)))) (+.f64 (*.f64 4/27 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (log.f64 y) 4) 1/3))) (*.f64 8/243 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (*.f64 (pow.f64 y 4) (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 11)) 1/9)))))))))))))))))
(-.f64 x z)
(-.f64 x z)
(-.f64 y (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
x
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
x
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(*.f64 -1 z)
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(*.f64 -1 z)
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
Outputs
(*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 (pow.f64 (log.f64 y) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (cbrt.f64 (pow.f64 (log.f64 y) 2)))
(-.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 (pow.f64 (log.f64 y) 2) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 -1/2) 1/3) (*.f64 y (pow.f64 (log.f64 y) 1/9))))) (*.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 -1/2) 1/3) (*.f64 y (pow.f64 (pow.f64 (log.f64 y) 10) 1/9)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 -1/2) 2) (cbrt.f64 (pow.f64 (log.f64 y) 2)) (*.f64 2/3 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 -1/2)) y) (*.f64 (pow.f64 (log.f64 y) 1/18) (pow.f64 (log.f64 y) 1/18))))) (*.f64 -2/3 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 -1/2)) y) (*.f64 (pow.f64 (pow.f64 (log.f64 y) 10) 1/18) (pow.f64 (pow.f64 (log.f64 y) 10) 1/18)))))
(fma.f64 (pow.f64 (cbrt.f64 -1/2) 2) (cbrt.f64 (pow.f64 (log.f64 y) 2)) (*.f64 (*.f64 2/3 (cbrt.f64 (cbrt.f64 -1/2))) (-.f64 (*.f64 y (*.f64 (pow.f64 (log.f64 y) 1/18) (pow.f64 (log.f64 y) 1/18))) (*.f64 y (*.f64 (pow.f64 (pow.f64 (log.f64 y) 10) 1/18) (pow.f64 (pow.f64 (log.f64 y) 10) 1/18))))))
(fma.f64 (pow.f64 (cbrt.f64 -1/2) 2) (cbrt.f64 (pow.f64 (log.f64 y) 2)) (*.f64 (*.f64 2/3 (cbrt.f64 (cbrt.f64 -1/2))) (-.f64 (*.f64 (*.f64 y (pow.f64 (log.f64 y) 1/18)) (pow.f64 (log.f64 y) 1/18)) (*.f64 y (*.f64 (pow.f64 (pow.f64 (log.f64 y) 10) 1/18) (pow.f64 (pow.f64 (log.f64 y) 10) 1/18))))))
(-.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 (pow.f64 (log.f64 y) 2) 1/3)) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 -1/2) 1/3) (*.f64 y (pow.f64 (log.f64 y) 1/9)))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (*.f64 (pow.f64 y 2) (pow.f64 (pow.f64 (log.f64 y) 5) 1/9)))))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 -1/2) 1/3) (*.f64 y (pow.f64 (pow.f64 (log.f64 y) 10) 1/9)))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 4)) 1/9)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (*.f64 (pow.f64 y 2) (pow.f64 (pow.f64 (log.f64 y) 14) 1/9)))))))
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 -1/2) 2) (cbrt.f64 (pow.f64 (log.f64 y) 2)) (fma.f64 2/3 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 -1/2)) y) (*.f64 (pow.f64 (log.f64 y) 1/18) (pow.f64 (log.f64 y) 1/18))) (*.f64 2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (*.f64 (*.f64 y y) (*.f64 (pow.f64 (pow.f64 (log.f64 y) 5) 1/18) (pow.f64 (pow.f64 (log.f64 y) 5) 1/18))))))) (fma.f64 2/3 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 -1/2)) y) (*.f64 (pow.f64 (pow.f64 (log.f64 y) 10) 1/18) (pow.f64 (pow.f64 (log.f64 y) 10) 1/18))) (*.f64 1/9 (+.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (*.f64 y y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 4)) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (*.f64 (*.f64 y y) (*.f64 (pow.f64 (pow.f64 (log.f64 y) 14) 1/18) (pow.f64 (pow.f64 (log.f64 y) 14) 1/18))))))))
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 -1/2) 2) (cbrt.f64 (pow.f64 (log.f64 y) 2)) (fma.f64 2/3 (*.f64 y (*.f64 (*.f64 (pow.f64 (log.f64 y) 1/18) (pow.f64 (log.f64 y) 1/18)) (cbrt.f64 (cbrt.f64 -1/2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (*.f64 (*.f64 y (*.f64 y (*.f64 (pow.f64 (pow.f64 (log.f64 y) 5) 1/18) (pow.f64 (pow.f64 (log.f64 y) 5) 1/18)))) 2/9)))) (fma.f64 1/9 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (*.f64 y y)) (+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 4)) 1/18)) (*.f64 (pow.f64 (pow.f64 (log.f64 y) 14) 1/18) (pow.f64 (pow.f64 (log.f64 y) 14) 1/18)))) (*.f64 2/3 (*.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 y) 10) 1/18) (pow.f64 (pow.f64 (log.f64 y) 10) 1/18)) (cbrt.f64 (cbrt.f64 -1/2)))))))
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 -1/2) 2) (cbrt.f64 (pow.f64 (log.f64 y) 2)) (fma.f64 2/3 (*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (*.f64 (*.f64 y (pow.f64 (log.f64 y) 1/18)) (pow.f64 (log.f64 y) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 -1/2 (cbrt.f64 -1/2)))) (*.f64 (*.f64 y (*.f64 y (*.f64 (pow.f64 (pow.f64 (log.f64 y) 5) 1/18) (pow.f64 (pow.f64 (log.f64 y) 5) 1/18)))) 2/9)))) (fma.f64 1/9 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 -1/2 (cbrt.f64 -1/2)))) (*.f64 y y)) (+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 4)) 1/18)) (*.f64 (pow.f64 (pow.f64 (log.f64 y) 14) 1/18) (pow.f64 (pow.f64 (log.f64 y) 14) 1/18)))) (*.f64 2/3 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 y) 10) 1/18) (pow.f64 (pow.f64 (log.f64 y) 10) 1/18)) (*.f64 y (cbrt.f64 (cbrt.f64 -1/2)))))))
(-.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (*.f64 (pow.f64 y 2) (pow.f64 (pow.f64 (log.f64 y) 5) 1/9)))) (+.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 (pow.f64 (log.f64 y) 2) 1/3)) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 -1/2) 1/3) (*.f64 y (pow.f64 (log.f64 y) 1/9)))) (+.f64 (*.f64 8/27 (pow.f64 y 3)) (*.f64 8/81 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 2))))))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 -1/2) 1/3) (*.f64 y (pow.f64 (pow.f64 (log.f64 y) 10) 1/9)))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 4)) 1/9)))) (+.f64 (*.f64 8/81 (/.f64 (pow.f64 y 3) (log.f64 y))) (+.f64 (*.f64 8/27 (*.f64 (pow.f64 y 3) (log.f64 y))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (*.f64 (pow.f64 y 2) (pow.f64 (pow.f64 (log.f64 y) 14) 1/9)))))))))
(-.f64 (fma.f64 2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (*.f64 (*.f64 y y) (*.f64 (pow.f64 (pow.f64 (log.f64 y) 5) 1/18) (pow.f64 (pow.f64 (log.f64 y) 5) 1/18)))) (fma.f64 (pow.f64 (cbrt.f64 -1/2) 2) (cbrt.f64 (pow.f64 (log.f64 y) 2)) (fma.f64 2/3 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 -1/2)) y) (*.f64 (pow.f64 (log.f64 y) 1/18) (pow.f64 (log.f64 y) 1/18))) (fma.f64 8/27 (pow.f64 y 3) (*.f64 8/81 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 y 3))))))) (fma.f64 2/3 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 -1/2)) y) (*.f64 (pow.f64 (pow.f64 (log.f64 y) 10) 1/18) (pow.f64 (pow.f64 (log.f64 y) 10) 1/18))) (fma.f64 1/9 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (*.f64 y y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 4)) 1/18))) (fma.f64 8/81 (/.f64 (pow.f64 y 3) (log.f64 y)) (fma.f64 8/27 (*.f64 (log.f64 y) (pow.f64 y 3)) (*.f64 (*.f64 1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)))) (*.f64 (*.f64 y y) (*.f64 (pow.f64 (pow.f64 (log.f64 y) 14) 1/18) (pow.f64 (pow.f64 (log.f64 y) 14) 1/18)))))))))
(-.f64 (fma.f64 2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (*.f64 y (*.f64 y (*.f64 (pow.f64 (pow.f64 (log.f64 y) 5) 1/18) (pow.f64 (pow.f64 (log.f64 y) 5) 1/18))))) (fma.f64 (pow.f64 (cbrt.f64 -1/2) 2) (cbrt.f64 (pow.f64 (log.f64 y) 2)) (fma.f64 2/3 (*.f64 y (*.f64 (*.f64 (pow.f64 (log.f64 y) 1/18) (pow.f64 (log.f64 y) 1/18)) (cbrt.f64 (cbrt.f64 -1/2)))) (fma.f64 (*.f64 (pow.f64 y 3) 8/81) (pow.f64 (log.f64 y) 2) (*.f64 8/27 (pow.f64 y 3)))))) (fma.f64 2/3 (*.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 y) 10) 1/18) (pow.f64 (pow.f64 (log.f64 y) 10) 1/18)) (cbrt.f64 (cbrt.f64 -1/2)))) (+.f64 (fma.f64 8/81 (/.f64 (pow.f64 y 3) (log.f64 y)) (*.f64 (log.f64 y) (*.f64 8/27 (pow.f64 y 3)))) (*.f64 1/9 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (*.f64 y y)) (+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 y) 4)) 1/18)) (*.f64 (pow.f64 (pow.f64 (log.f64 y) 14) 1/18) (pow.f64 (pow.f64 (log.f64 y) 14) 1/18))))))))
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(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(*.f64 -1 z)
(neg.f64 z)
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(*.f64 -1 z)
(neg.f64 z)
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))

prune259.0ms (7.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1990199
Fresh044
Picked011
Done022
Total1997206
Error
0.0b
Counts
206 → 7
Alt Table
StatusErrorProgram
0.1b
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
0.5b
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
32.7b
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
0.5b
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
0.5b
(fma.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) (-.f64 x z))
0.5b
(+.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 3) (-.f64 x z))
0.6b
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 -1/2 y))) 3) (+.f64 y (-.f64 x z)))
Compiler

Compiled 8091 to 5305 computations (34.4% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
0.2b
(*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y))
0.5b
(cbrt.f64 (log.f64 y))
0.5b
(pow.f64 (cbrt.f64 (log.f64 y)) 2)

series65.0ms (2%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
27.0ms
y
@0
(pow.f64 (cbrt.f64 (log.f64 y)) 2)
11.0ms
y
@inf
(pow.f64 (cbrt.f64 (log.f64 y)) 2)
11.0ms
y
@-inf
(pow.f64 (cbrt.f64 (log.f64 y)) 2)
6.0ms
x
@0
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
3.0ms
y
@-inf
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))

rewrite66.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
275×expm1-udef_binary64
275×log1p-udef_binary64
160×add-sqr-sqrt_binary64
155×pow1_binary64
154×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01452
131242
2416042
Stop Event
node limit
Counts
4 → 88
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (log.f64 y)) 2)
(cbrt.f64 (log.f64 y))
(*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (pow.f64 (log.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 y) 1/6) (*.f64 (pow.f64 (log.f64 y) 1/6) (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 y)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (cbrt.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 y) 1/6) (pow.f64 (log.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 y)) 1/3) (pow.f64 (sqrt.f64 (log.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (cbrt.f64 (log.f64 y))) (*.f64 (neg.f64 y) (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cbrt.f64 (log.f64 y)) -1/2) (*.f64 (cbrt.f64 (log.f64 y)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1/8 (pow.f64 y 3)) (cbrt.f64 (log.f64 y))) (+.f64 1/4 (*.f64 y (+.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (cbrt.f64 (log.f64 y))) (+.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 1/4 (*.f64 y y))) (+.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 -1/2 y)) (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (log.f64 y) (pow.f64 (-.f64 -1/2 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 -1/2 y) 3) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 1) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) y) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (-.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 2)) (cbrt.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))) (sqrt.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 3) (pow.f64 (+.f64 y (-.f64 x z)) 3)) (+.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) (-.f64 (pow.f64 (+.f64 y (-.f64 x z)) 2) (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) (pow.f64 (+.f64 y (-.f64 x z)) 2)) (-.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 y (-.f64 x z)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))) 1))))))

simplify43.0ms (1.3%)

Algorithm
egg-herbie
Rules
502×cancel-sign-sub-inv_binary64
413×fma-neg_binary64
315×sub-neg_binary64
199×distribute-rgt-in_binary64
191×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
082999
1254893
2759870
32703865
Stop Event
node limit
Counts
160 → 124
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(pow.f64 (log.f64 y) 1/3)
(pow.f64 (log.f64 y) 1/3)
(pow.f64 (log.f64 y) 1/3)
(pow.f64 (log.f64 y) 1/3)
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3)
(*.f64 -1/2 (pow.f64 (log.f64 y) 1/3))
(neg.f64 (+.f64 (*.f64 1/2 (pow.f64 (log.f64 y) 1/3)) (*.f64 y (pow.f64 (log.f64 y) 1/3))))
(neg.f64 (+.f64 (*.f64 1/2 (pow.f64 (log.f64 y) 1/3)) (*.f64 y (pow.f64 (log.f64 y) 1/3))))
(neg.f64 (+.f64 (*.f64 1/2 (pow.f64 (log.f64 y) 1/3)) (*.f64 y (pow.f64 (log.f64 y) 1/3))))
(*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (pow.f64 (log.f64 (/.f64 1 y)) 1/3)))
(neg.f64 (+.f64 (*.f64 1/2 (*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))) (*.f64 (*.f64 y (cbrt.f64 -1)) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))))
(neg.f64 (+.f64 (*.f64 1/2 (*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))) (*.f64 (*.f64 y (cbrt.f64 -1)) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))))
(neg.f64 (+.f64 (*.f64 1/2 (*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))) (*.f64 (*.f64 y (cbrt.f64 -1)) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))))
(*.f64 -1 (*.f64 y (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3)))
(neg.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3)) (*.f64 y (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3))))
(neg.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3)) (*.f64 y (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3))))
(neg.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3)) (*.f64 y (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3))))
(-.f64 x (+.f64 z (*.f64 1/2 (log.f64 y))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(*.f64 (+.f64 1 (log.f64 (/.f64 1 y))) y)
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))) z)
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))) z)
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))) z)
(*.f64 -1 (*.f64 y (-.f64 (log.f64 -1) (+.f64 1 (log.f64 (/.f64 -1 y))))))
(-.f64 (+.f64 (*.f64 1/2 (log.f64 (/.f64 -1 y))) (+.f64 y (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) y) x))) (+.f64 (*.f64 y (log.f64 -1)) (+.f64 z (*.f64 1/2 (log.f64 -1)))))
(-.f64 (+.f64 (*.f64 1/2 (log.f64 (/.f64 -1 y))) (+.f64 y (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) y) x))) (+.f64 (*.f64 y (log.f64 -1)) (+.f64 z (*.f64 1/2 (log.f64 -1)))))
(-.f64 (+.f64 (*.f64 1/2 (log.f64 (/.f64 -1 y))) (+.f64 y (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) y) x))) (+.f64 (*.f64 y (log.f64 -1)) (+.f64 z (*.f64 1/2 (log.f64 -1)))))
(-.f64 y (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
x
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
x
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(*.f64 -1 z)
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(*.f64 -1 z)
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
Outputs
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (pow.f64 (log.f64 y) 2)))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (pow.f64 (log.f64 y) 2)))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (pow.f64 (log.f64 y) 2)))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (pow.f64 (log.f64 y) 2)))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (log.f64 y) 1/3)
(cbrt.f64 (log.f64 y))
(pow.f64 (log.f64 y) 1/3)
(cbrt.f64 (log.f64 y))
(pow.f64 (log.f64 y) 1/3)
(cbrt.f64 (log.f64 y))
(pow.f64 (log.f64 y) 1/3)
(cbrt.f64 (log.f64 y))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 y))))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 y))))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 y))))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 y))))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3)
(cbrt.f64 (log.f64 y))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3)
(cbrt.f64 (log.f64 y))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3)
(cbrt.f64 (log.f64 y))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3)
(cbrt.f64 (log.f64 y))
(*.f64 -1/2 (pow.f64 (log.f64 y) 1/3))
(*.f64 (cbrt.f64 (log.f64 y)) -1/2)
(neg.f64 (+.f64 (*.f64 1/2 (pow.f64 (log.f64 y) 1/3)) (*.f64 y (pow.f64 (log.f64 y) 1/3))))
(neg.f64 (*.f64 (cbrt.f64 (log.f64 y)) (+.f64 1/2 y)))
(*.f64 (cbrt.f64 (log.f64 y)) (neg.f64 (+.f64 y 1/2)))
(*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y))
(neg.f64 (+.f64 (*.f64 1/2 (pow.f64 (log.f64 y) 1/3)) (*.f64 y (pow.f64 (log.f64 y) 1/3))))
(neg.f64 (*.f64 (cbrt.f64 (log.f64 y)) (+.f64 1/2 y)))
(*.f64 (cbrt.f64 (log.f64 y)) (neg.f64 (+.f64 y 1/2)))
(*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y))
(neg.f64 (+.f64 (*.f64 1/2 (pow.f64 (log.f64 y) 1/3)) (*.f64 y (pow.f64 (log.f64 y) 1/3))))
(neg.f64 (*.f64 (cbrt.f64 (log.f64 y)) (+.f64 1/2 y)))
(*.f64 (cbrt.f64 (log.f64 y)) (neg.f64 (+.f64 y 1/2)))
(*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y))
(*.f64 -1 (*.f64 (*.f64 y (cbrt.f64 -1)) (pow.f64 (log.f64 (/.f64 1 y)) 1/3)))
(neg.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (*.f64 y (cbrt.f64 -1))))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (*.f64 (neg.f64 y) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (*.f64 y (neg.f64 (cbrt.f64 -1))))
(neg.f64 (+.f64 (*.f64 1/2 (*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))) (*.f64 (*.f64 y (cbrt.f64 -1)) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))))
(neg.f64 (fma.f64 1/2 (*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 y)))) (*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (*.f64 y (cbrt.f64 -1)))))
(neg.f64 (*.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 y)))) (+.f64 y 1/2)))
(*.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 y)))) (-.f64 -1/2 y))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (*.f64 (cbrt.f64 -1) (-.f64 -1/2 y)))
(neg.f64 (+.f64 (*.f64 1/2 (*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))) (*.f64 (*.f64 y (cbrt.f64 -1)) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))))
(neg.f64 (fma.f64 1/2 (*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 y)))) (*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (*.f64 y (cbrt.f64 -1)))))
(neg.f64 (*.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 y)))) (+.f64 y 1/2)))
(*.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 y)))) (-.f64 -1/2 y))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (*.f64 (cbrt.f64 -1) (-.f64 -1/2 y)))
(neg.f64 (+.f64 (*.f64 1/2 (*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))) (*.f64 (*.f64 y (cbrt.f64 -1)) (pow.f64 (log.f64 (/.f64 1 y)) 1/3))))
(neg.f64 (fma.f64 1/2 (*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 y)))) (*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (*.f64 y (cbrt.f64 -1)))))
(neg.f64 (*.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 y)))) (+.f64 y 1/2)))
(*.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 y)))) (-.f64 -1/2 y))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (*.f64 (cbrt.f64 -1) (-.f64 -1/2 y)))
(*.f64 -1 (*.f64 y (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3)))
(neg.f64 (*.f64 y (cbrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))))
(*.f64 (cbrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (neg.f64 y))
(*.f64 y (neg.f64 (cbrt.f64 (+.f64 (log.f64 y) 0))))
(*.f64 y (neg.f64 (cbrt.f64 (log.f64 y))))
(neg.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3)) (*.f64 y (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3))))
(neg.f64 (*.f64 (cbrt.f64 (log.f64 y)) (+.f64 1/2 y)))
(*.f64 (cbrt.f64 (log.f64 y)) (neg.f64 (+.f64 y 1/2)))
(*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y))
(neg.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3)) (*.f64 y (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3))))
(neg.f64 (*.f64 (cbrt.f64 (log.f64 y)) (+.f64 1/2 y)))
(*.f64 (cbrt.f64 (log.f64 y)) (neg.f64 (+.f64 y 1/2)))
(*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y))
(neg.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3)) (*.f64 y (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1/3))))
(neg.f64 (*.f64 (cbrt.f64 (log.f64 y)) (+.f64 1/2 y)))
(*.f64 (cbrt.f64 (log.f64 y)) (neg.f64 (+.f64 y 1/2)))
(*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y))
(-.f64 x (+.f64 z (*.f64 1/2 (log.f64 y))))
(-.f64 x (+.f64 z (*.f64 (log.f64 y) 1/2)))
(-.f64 x (fma.f64 (log.f64 y) 1/2 z))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(*.f64 (+.f64 1 (log.f64 (/.f64 1 y))) y)
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
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(*.f64 -1 (*.f64 y (-.f64 (log.f64 -1) (+.f64 1 (log.f64 (/.f64 -1 y))))))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 (+.f64 (*.f64 1/2 (log.f64 (/.f64 -1 y))) (+.f64 y (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) y) x))) (+.f64 (*.f64 y (log.f64 -1)) (+.f64 z (*.f64 1/2 (log.f64 -1)))))
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(-.f64 (+.f64 (*.f64 1/2 (log.f64 (/.f64 -1 y))) (+.f64 y (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) y) x))) (+.f64 (*.f64 y (log.f64 -1)) (+.f64 z (*.f64 1/2 (log.f64 -1)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
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(-.f64 (+.f64 (*.f64 1/2 (log.f64 (/.f64 -1 y))) (+.f64 y (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) y) x))) (+.f64 (*.f64 y (log.f64 -1)) (+.f64 z (*.f64 1/2 (log.f64 -1)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 y (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
x
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
x
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(fma.f64 (log.f64 y) (+.f64 -1/2 (neg.f64 y)) (+.f64 y x))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(*.f64 -1 z)
(neg.f64 z)
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(*.f64 -1 z)
(neg.f64 z)
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
(+.f64 x (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))

prune127.0ms (3.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1492151
Fresh213
Picked011
Done033
Total1517158
Error
0.0b
Counts
158 → 7
Alt Table
StatusErrorProgram
0.5b
(fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2))) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
0.5b
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
32.7b
(fma.f64 (*.f64 (sqrt.f64 (log.f64 y)) (pow.f64 (log.f64 y) 1/6)) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
0.5b
(fma.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) (-.f64 x z))
0.1b
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
0.5b
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
32.7b
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
Compiler

Compiled 3188 to 1424 computations (55.3% saved)

regimes212.0ms (6.5%)

Accuracy

Total 0.1b remaining (72.5%)

Threshold costs 0.1b (72.5%)

Counts
65 → 1
Compiler

Compiled 939 to 416 computations (55.7% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01016
11516
22316
32716
42916
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
Outputs
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))

end108.0ms (3.3%)

Stop Event
fuel
Compiler

Compiled 176 to 113 computations (35.8% saved)

Profiling

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