Details

Time bar (total: 3.9s)

analyze480.0ms (12.4%)

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 (28.6%)

Results
1.1s8254×body128valid
8.0ms47×body128invalid
1.0msbody1024valid

preprocess45.0ms (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)

simplify30.0ms (0.8%)

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))
0.2b
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
Compiler

Compiled 84 to 53 computations (36.9% saved)

localize7.0ms (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)

series20.0ms (0.5%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
7.0ms
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)
1.0ms
z
@0
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))

rewrite59.0ms (1.5%)

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 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 expm1.f64 (log1p.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(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 -.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) 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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 (expm1.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 (expm1.f64 (-.f64 x z))) (exp.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 x z)) (+.f64 1 (expm1.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 x z))) (+.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 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))) (exp.f64 (neg.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)) (exp.f64 (neg.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 (exp.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 (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 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))))) (#(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 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))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -1 z (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 z (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.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 (pow.f64 (cbrt.f64 x) 2) (cbrt.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 (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 log1p.f64 (expm1.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)))))))

simplify45.0ms (1.2%)

Algorithm
egg-herbie
Rules
530×sub-neg_binary64
415×associate-+l+_binary64
378×unsub-neg_binary64
362×associate-+r+_binary64
290×associate-+l-_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049820
1143738
2412608
31493608
44450608
Stop Event
node limit
Counts
156 → 131
Calls
Call 1
Inputs
(*.f64 -1/2 (log.f64 y))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y)))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y)))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y)))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))))
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z)
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z)
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z)
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z)
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z)
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
x
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
x
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
Outputs
(*.f64 -1/2 (log.f64 y))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y)))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (*.f64 -1/2 (log.f64 y)))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y)))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (*.f64 -1/2 (log.f64 y)))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y)))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (*.f64 -1/2 (log.f64 y)))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(*.f64 y (+.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)))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (*.f64 -1/2 (log.f64 y)))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (*.f64 -1/2 (log.f64 y)))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (*.f64 -1/2 (log.f64 y)))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (*.f64 -1/2 (log.f64 y)))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
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(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))))
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(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
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(-.f64 (fma.f64 -1/2 (log.f64 y) x) z)
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(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
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(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) y)
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(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z)
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(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z)
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
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(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) z)
(-.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y) z)
(fma.f64 (+.f64 -1/2 (neg.f64 y)) (log.f64 y) (-.f64 y z))
(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
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(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
x
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
x
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(+.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y) x)
(fma.f64 (+.f64 -1/2 (neg.f64 y)) (log.f64 y) (+.f64 y x))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x)
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))

prune212.0ms (5.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1256131
Fresh101
Picked101
Done000
Total1276133
Error
0.0b
Counts
133 → 6
Alt Table
StatusErrorProgram
0.1b
(+.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y))) (-.f64 x z))
0.6b
(+.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 3) (-.f64 x z))
34.2b
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
42.4b
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 3) (pow.f64 (-.f64 x z) 3)) (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)))
34.2b
(*.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)))
0.2b
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
Compiler

Compiled 2639 to 1353 computations (48.7% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series61.0ms (1.6%)

Counts
4 → 61
Calls

18 calls:

TimeVariablePointExpression
31.0ms
y
@0
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))
10.0ms
y
@-inf
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))
9.0ms
y
@inf
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y)))
5.0ms
y
@inf
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))
1.0ms
x
@0
(+.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y))) (-.f64 x z))

rewrite90.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
174×add-sqr-sqrt_binary64
169×*-un-lft-identity_binary64
169×pow1_binary64
162×add-cbrt-cube_binary64
162×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01559
133549
Stop Event
node limit
Counts
4 → 164
Calls
Call 1
Inputs
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y)))
(+.f64 1 (*.f64 -1 (log.f64 y)))
(+.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y))) (-.f64 x z))
Outputs
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y (+.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 (-.f64 x z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (+.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 (-.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (+.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 (-.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (+.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 (-.f64 x z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (+.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 (-.f64 x z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (+.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 y (*.f64 y (log.f64 y))) (fma.f64 (log.f64 y) -1/2 (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y (+.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2)) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 x z) (fma.f64 y (+.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (log.f64 y)) y (fma.f64 (log.f64 y) -1/2 (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (cbrt.f64 (-.f64 x z)) (fma.f64 y (+.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2))) 2) (cbrt.f64 (fma.f64 y (+.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2))) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 y (*.f64 y (log.f64 y)))) 2) (cbrt.f64 (+.f64 y (*.f64 y (log.f64 y)))) (fma.f64 (log.f64 y) -1/2 (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x z)) (sqrt.f64 (-.f64 x z)) (fma.f64 y (+.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y (+.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2))) (sqrt.f64 (fma.f64 y (+.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2))) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y (*.f64 y (log.f64 y)))) (sqrt.f64 (+.f64 y (*.f64 y (log.f64 y)))) (fma.f64 (log.f64 y) -1/2 (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (+.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (+.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 (-.f64 x z)))))))))

simplify45.0ms (1.2%)

Algorithm
egg-herbie
Rules
890×fma-def_binary64
688×fma-neg_binary64
458×associate-+l+_binary64
351×associate-+r+_binary64
339×unsub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042939
1126817
2368810
31190733
43960698
Stop Event
node limit
Counts
225 → 187
Calls
Call 1
Inputs
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.f64 -1/2 (log.f64 y))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
(+.f64 1 (log.f64 (/.f64 1 y)))
(+.f64 1 (log.f64 (/.f64 1 y)))
(+.f64 1 (log.f64 (/.f64 1 y)))
(+.f64 1 (log.f64 (/.f64 1 y)))
(+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z)
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z)
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z)
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x)) z)
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x)) z)
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x)) z)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y))) z)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
x
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
x
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)))
Outputs
(*.f64 y (+.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 y (+.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 y (+.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 y (+.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 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 -1/2 (log.f64 y))
(*.f64 y (+.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 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))
(fma.f64 1/2 (neg.f64 (log.f64 y)) (*.f64 y (+.f64 1 (neg.f64 (log.f64 y)))))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y)))
(+.f64 y (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (fma.f64 y -1 -1/2) y)
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))
(fma.f64 1/2 (neg.f64 (log.f64 y)) (*.f64 y (+.f64 1 (neg.f64 (log.f64 y)))))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y)))
(+.f64 y (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (fma.f64 y -1 -1/2) y)
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))
(fma.f64 1/2 (neg.f64 (log.f64 y)) (*.f64 y (+.f64 1 (neg.f64 (log.f64 y)))))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y)))
(+.f64 y (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (fma.f64 y -1 -1/2) y)
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.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 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
(fma.f64 1/2 (neg.f64 (log.f64 y)) (*.f64 y (+.f64 1 (neg.f64 (log.f64 y)))))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y)))
(+.f64 y (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (fma.f64 y -1 -1/2) y)
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
(fma.f64 1/2 (neg.f64 (log.f64 y)) (*.f64 y (+.f64 1 (neg.f64 (log.f64 y)))))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y)))
(+.f64 y (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (fma.f64 y -1 -1/2) y)
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
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prune157.0ms (4.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1861187
Fresh055
Picked011
Done000
Total1867193
Error
0.0b
Counts
193 → 7
Alt Table
StatusErrorProgram
0.1b
(+.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y))) (-.f64 x z))
0.6b
(+.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 3) (-.f64 x z))
34.2b
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
0.1b
(+.f64 (+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y))))) (*.f64 -1/2 (log.f64 y))) (-.f64 x z))
42.4b
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 3) (pow.f64 (-.f64 x z) 3)) (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)))
34.2b
(*.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)))
0.2b
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
Compiler

Compiled 4881 to 2366 computations (51.5% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1 (+.f64 1 (log.f64 y)))
0.3b
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))))
0.3b
(/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))
0.5b
(pow.f64 (log.f64 y) 2)

series8.0ms (0.2%)

Counts
4 → 36
Calls

12 calls:

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

rewrite63.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
464×fma-def_binary64
231×fma-neg_binary64
203×expm1-udef_binary64
203×log1p-udef_binary64
123×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01149
124838
2355338
Stop Event
node limit
Counts
4 → 106
Calls
Call 1
Inputs
(pow.f64 (log.f64 y) 2)
(/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))))
(/.f64 1 (+.f64 1 (log.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)) (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (cbrt.f64 (pow.f64 (log.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 y) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 (log.f64 y) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) (*.f64 (log.f64 y) (/.f64 1 (+.f64 (log.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 y) 2) (/.f64 1 (+.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 (log.f64 y) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (log.f64 y) 1)) (pow.f64 (log.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 (log.f64 y) 1))) (cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 (+.f64 (log.f64 y) 1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 (+.f64 (log.f64 y) 1) -2))) (cbrt.f64 (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 (log.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (/.f64 1 (+.f64 (log.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 y) (sqrt.f64 (+.f64 (log.f64 y) 1))) (/.f64 (log.f64 y) (sqrt.f64 (+.f64 (log.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (log.f64 y) 1) -1/2) (/.f64 (pow.f64 (log.f64 y) 2) (sqrt.f64 (+.f64 (log.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (log.f64 y) 2)) (/.f64 1 (neg.f64 (+.f64 (log.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 y) 1) (/.f64 (log.f64 y) (+.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (+.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 y) (pow.f64 (cbrt.f64 (+.f64 (log.f64 y) 1)) 2)) (/.f64 (log.f64 y) (cbrt.f64 (+.f64 (log.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (log.f64 y) 1)) 2)) (/.f64 (pow.f64 (log.f64 y) 2) (cbrt.f64 (+.f64 (log.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)) (pow.f64 (cbrt.f64 (+.f64 (log.f64 y) 1)) 2)) (cbrt.f64 (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 (log.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 y) 4)) (sqrt.f64 (+.f64 (log.f64 y) 1))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (sqrt.f64 (+.f64 (log.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 y) 2) (-.f64 1 (pow.f64 (log.f64 y) 2))) (-.f64 1 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (pow.f64 (log.f64 y) 3))) (fma.f64 (log.f64 y) (-.f64 (log.f64 y) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 y) 2) (cbrt.f64 (pow.f64 (+.f64 (log.f64 y) 1) -2))) (/.f64 1 (cbrt.f64 (+.f64 (log.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (+.f64 (log.f64 y) 1) -1/2)) (pow.f64 (+.f64 (log.f64 y) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 (log.f64 y) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 (log.f64 y) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 y) (sqrt.f64 (+.f64 (log.f64 y) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 (log.f64 y) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (log.f64 y) 1) (pow.f64 (log.f64 y) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (log.f64 y) 2) (neg.f64 (+.f64 (log.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 (+.f64 (log.f64 y) 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 (log.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 (log.f64 y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 (log.f64 y) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 (log.f64 y)) (neg.f64 (log1p.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 (log.f64 y)) (neg.f64 (log1p.f64 (log.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 (log.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 (log.f64 y) 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 (log.f64 y) 1)) y) (*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 y) 2)) (+.f64 (log.f64 y) 1)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 1 (+.f64 (log.f64 y) 1))) (*.f64 y (/.f64 (neg.f64 (pow.f64 (log.f64 y) 2)) (+.f64 (log.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 1 (log.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 y) (-.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (+.f64 (log.f64 y) 1)))) y) (pow.f64 (+.f64 (log.f64 y) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) y) (+.f64 (log.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (log.f64 y) 1) -3) (pow.f64 (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 (log.f64 y) 1)) 3)) y) (fma.f64 (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 (log.f64 y) 1)) (*.f64 (/.f64 1 (+.f64 (log.f64 y) 1)) (+.f64 1 (pow.f64 (log.f64 y) 2))) (pow.f64 (+.f64 (log.f64 y) 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (log.f64 y) 1) -2) (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 (+.f64 (log.f64 y) 1) -2))) y) (*.f64 (/.f64 1 (+.f64 (log.f64 y) 1)) (+.f64 1 (pow.f64 (log.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (log.f64 y) (-.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (+.f64 (log.f64 y) 1))))) (pow.f64 (+.f64 (log.f64 y) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (+.f64 (log.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 (+.f64 (log.f64 y) 1) -3) (pow.f64 (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 (log.f64 y) 1)) 3))) (fma.f64 (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 (log.f64 y) 1)) (*.f64 (/.f64 1 (+.f64 (log.f64 y) 1)) (+.f64 1 (pow.f64 (log.f64 y) 2))) (pow.f64 (+.f64 (log.f64 y) 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 (+.f64 (log.f64 y) 1) -2) (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 (+.f64 (log.f64 y) 1) -2)))) (*.f64 (/.f64 1 (+.f64 (log.f64 y) 1)) (+.f64 1 (pow.f64 (log.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 1 (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 1 (log.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 (log.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 1 (log.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 1 (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 1 (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 (log.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 (log.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 1 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 1 (log.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 (+.f64 (log.f64 y) 1)) (*.f64 y (/.f64 (neg.f64 (pow.f64 (log.f64 y) 2)) (+.f64 (log.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 (log.f64 y) 1)) y (*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 y) 2)) (+.f64 (log.f64 y) 1)) y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 1 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 1 (log.f64 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (log.f64 y) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (log.f64 y) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 (log.f64 y) 1))) (cbrt.f64 (pow.f64 (+.f64 (log.f64 y) 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 y) 1) -2)) (/.f64 1 (cbrt.f64 (+.f64 (log.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (log.f64 y) 1) -1/2) (pow.f64 (+.f64 (log.f64 y) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 (log.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 y) 1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (log.f64 y) 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (log.f64 y) 1)) -1) (pow.f64 (sqrt.f64 (+.f64 (log.f64 y) 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 (log.f64 y) 2))) (-.f64 1 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 (log.f64 y) 3))) (fma.f64 (log.f64 y) (-.f64 (log.f64 y) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 (log.f64 y) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (log.f64 y) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (log.f64 y) 1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (log.f64 y) 1) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (log.f64 y) 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 (log.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (log.f64 y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (log.f64 y) 1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (log.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (log.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (log.f64 y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (log.f64 y) 1))))))))

simplify36.0ms (0.9%)

Algorithm
egg-herbie
Rules
628×fma-def_binary64
437×div-sub_binary64
189×cancel-sign-sub-inv_binary64
181×fma-neg_binary64
162×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033664
171568
2157568
3446544
42405544
Stop Event
node limit
Counts
142 → 119
Calls
Call 1
Inputs
(pow.f64 (log.f64 (/.f64 1 y)) 2)
(pow.f64 (log.f64 (/.f64 1 y)) 2)
(pow.f64 (log.f64 (/.f64 1 y)) 2)
(pow.f64 (log.f64 (/.f64 1 y)) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2)
(/.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
(*.f64 (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))) y)
(*.f64 (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))) y)
(*.f64 (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))) y)
(*.f64 (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))) y)
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))))
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))))
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))))
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))))
(*.f64 y (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))) (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))))
(*.f64 y (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))) (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))))
(*.f64 y (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))) (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))))
(*.f64 y (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))) (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))))
(/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
Outputs
(pow.f64 (log.f64 (/.f64 1 y)) 2)
(pow.f64 (neg.f64 (log.f64 y)) 2)
(pow.f64 (log.f64 y) 2)
(pow.f64 (log.f64 (/.f64 1 y)) 2)
(pow.f64 (neg.f64 (log.f64 y)) 2)
(pow.f64 (log.f64 y) 2)
(pow.f64 (log.f64 (/.f64 1 y)) 2)
(pow.f64 (neg.f64 (log.f64 y)) 2)
(pow.f64 (log.f64 y) 2)
(pow.f64 (log.f64 (/.f64 1 y)) 2)
(pow.f64 (neg.f64 (log.f64 y)) 2)
(pow.f64 (log.f64 y) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2)
(pow.f64 (neg.f64 (log.f64 y)) 2)
(pow.f64 (log.f64 y) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2)
(pow.f64 (neg.f64 (log.f64 y)) 2)
(pow.f64 (log.f64 y) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2)
(pow.f64 (neg.f64 (log.f64 y)) 2)
(pow.f64 (log.f64 y) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2)
(pow.f64 (neg.f64 (log.f64 y)) 2)
(pow.f64 (log.f64 y) 2)
(/.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))
(/.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))
(/.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))
(/.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
(/.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
(/.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
(/.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
(/.f64 (pow.f64 (neg.f64 (log.f64 y)) 2) (+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))
(*.f64 (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))) y)
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))))
(fma.f64 y (/.f64 (log.f64 y) (+.f64 (/.f64 -1 (log.f64 y)) -1)) (/.f64 y (+.f64 1 (log.f64 y))))
(*.f64 (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))) y)
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))))
(fma.f64 y (/.f64 (log.f64 y) (+.f64 (/.f64 -1 (log.f64 y)) -1)) (/.f64 y (+.f64 1 (log.f64 y))))
(*.f64 (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))) y)
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))))
(fma.f64 y (/.f64 (log.f64 y) (+.f64 (/.f64 -1 (log.f64 y)) -1)) (/.f64 y (+.f64 1 (log.f64 y))))
(*.f64 (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))) y)
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))))
(fma.f64 y (/.f64 (log.f64 y) (+.f64 (/.f64 -1 (log.f64 y)) -1)) (/.f64 y (+.f64 1 (log.f64 y))))
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))))
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))))
(fma.f64 y (/.f64 (log.f64 y) (+.f64 (/.f64 -1 (log.f64 y)) -1)) (/.f64 y (+.f64 1 (log.f64 y))))
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))))
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))))
(fma.f64 y (/.f64 (log.f64 y) (+.f64 (/.f64 -1 (log.f64 y)) -1)) (/.f64 y (+.f64 1 (log.f64 y))))
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))))
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))))
(fma.f64 y (/.f64 (log.f64 y) (+.f64 (/.f64 -1 (log.f64 y)) -1)) (/.f64 y (+.f64 1 (log.f64 y))))
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))))
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))))
(fma.f64 y (/.f64 (log.f64 y) (+.f64 (/.f64 -1 (log.f64 y)) -1)) (/.f64 y (+.f64 1 (log.f64 y))))
(*.f64 y (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))) (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))))
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))))
(fma.f64 y (/.f64 (log.f64 y) (+.f64 (/.f64 -1 (log.f64 y)) -1)) (/.f64 y (+.f64 1 (log.f64 y))))
(*.f64 y (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))) (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))))
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))))
(fma.f64 y (/.f64 (log.f64 y) (+.f64 (/.f64 -1 (log.f64 y)) -1)) (/.f64 y (+.f64 1 (log.f64 y))))
(*.f64 y (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))) (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))))
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))))
(fma.f64 y (/.f64 (log.f64 y) (+.f64 (/.f64 -1 (log.f64 y)) -1)) (/.f64 y (+.f64 1 (log.f64 y))))
(*.f64 y (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))) (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))))
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))))
(fma.f64 y (/.f64 (log.f64 y) (+.f64 (/.f64 -1 (log.f64 y)) -1)) (/.f64 y (+.f64 1 (log.f64 y))))
(/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 1 (+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(/.f64 1 (+.f64 1 (log.f64 y)))
(/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 1 (+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(/.f64 1 (+.f64 1 (log.f64 y)))
(/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 1 (+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(/.f64 1 (+.f64 1 (log.f64 y)))
(/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 1 (+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(/.f64 1 (+.f64 1 (log.f64 y)))
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
(/.f64 1 (+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(/.f64 1 (+.f64 1 (log.f64 y)))
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
(/.f64 1 (+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(/.f64 1 (+.f64 1 (log.f64 y)))
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
(/.f64 1 (+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(/.f64 1 (+.f64 1 (log.f64 y)))
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
(/.f64 1 (+.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(/.f64 1 (+.f64 1 (log.f64 y)))

prune181.0ms (4.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1154119
Fresh325
Picked101
Done101
Total1206126
Error
0.0b
Counts
126 → 6
Alt Table
StatusErrorProgram
0.1b
(+.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) y) (+.f64 (log.f64 y) 1)) (*.f64 -1/2 (log.f64 y))) (-.f64 x z))
42.4b
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 3) (pow.f64 (-.f64 x z) 3)) (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)))
0.1b
(+.f64 (+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (sqrt.f64 (pow.f64 (log.f64 y) 4)) (+.f64 1 (log.f64 y))))) (*.f64 -1/2 (log.f64 y))) (-.f64 x z))
0.2b
(+.f64 (+.f64 (fma.f64 y (/.f64 1 (+.f64 (log.f64 y) 1)) (*.f64 y (/.f64 (neg.f64 (pow.f64 (log.f64 y) 2)) (+.f64 (log.f64 y) 1)))) (*.f64 -1/2 (log.f64 y))) (-.f64 x z))
29.8b
(+.f64 (+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 1 (log.f64 y)))))) (*.f64 -1/2 (log.f64 y))) (-.f64 x z))
0.2b
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
Compiler

Compiled 3965 to 2356 computations (40.6% saved)

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) y) (+.f64 (log.f64 y) 1)) (*.f64 -1/2 (log.f64 y)))
0.2b
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) y)
0.4b
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) y) (+.f64 (log.f64 y) 1))
0.5b
(pow.f64 (log.f64 y) 2)

series13.0ms (0.3%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) y) (+.f64 (log.f64 y) 1))
4.0ms
y
@inf
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) y) (+.f64 (log.f64 y) 1))
1.0ms
y
@0
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) y) (+.f64 (log.f64 y) 1))
1.0ms
y
@-inf
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) y)
1.0ms
y
@inf
(+.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) y) (+.f64 (log.f64 y) 1)) (*.f64 -1/2 (log.f64 y)))

rewrite85.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
283×fma-neg_binary64
243×log1p-udef_binary64
242×expm1-udef_binary64
147×add-sqr-sqrt_binary64
142×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01360
129236
2405936
Stop Event
node limit
Counts
3 → 104
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) y) (+.f64 (log.f64 y) 1))
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) y)
(+.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) y) (+.f64 (log.f64 y) 1)) (*.f64 -1/2 (log.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (log.f64 y)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (/.f64 (+.f64 1 (log.f64 y)) y)) (/.f64 (pow.f64 (log.f64 y) 2) (/.f64 (+.f64 1 (log.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 (log.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 1 (+.f64 1 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 1 (/.f64 (+.f64 1 (log.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (*.f64 y (/.f64 1 (+.f64 1 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (/.f64 1 (+.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (log.f64 y)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (-.f64 1 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) 1) (/.f64 y (+.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))) (+.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))) 1) (/.f64 (sqrt.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))) (+.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 y))) 2)) (/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (cbrt.f64 (+.f64 1 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 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*.f64 (/.f64 y (hypot.f64 1 (sqrt.f64 (log.f64 y)))) (/.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (hypot.f64 1 (sqrt.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (hypot.f64 1 (sqrt.f64 (log.f64 y)))) (/.f64 y (hypot.f64 1 (sqrt.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))) 2) (hypot.f64 1 (sqrt.f64 (log.f64 y)))) (/.f64 (cbrt.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))) (hypot.f64 1 (sqrt.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (+.f64 1 (pow.f64 (log.f64 y) 3))) (+.f64 (pow.f64 (log.f64 y) 2) (-.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (+.f64 (pow.f64 (log.f64 y) 2) -1)) (+.f64 (log.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (log.f64 y)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (log.f64 y)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 y)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 y)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (-.f64 1 (log.f64 y)) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (+.f64 (neg.f64 (log.f64 y)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 y)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (-.f64 1 (log.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (log.f64 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 y)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (neg.f64 (pow.f64 (log.f64 y) 2)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (neg.f64 (pow.f64 (log.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 6)) y) (+.f64 1 (+.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (log.f64 y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 4)) y) (+.f64 1 (pow.f64 (log.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 6))) (+.f64 1 (+.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (log.f64 y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 4))) (+.f64 1 (pow.f64 (log.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 (E.f64) (pow.f64 y (log.f64 y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 y) -1/2 (*.f64 (-.f64 1 (log.f64 y)) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 y)) y) 2) (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 1/2 (log.f64 y)))) (/.f64 (*.f64 (pow.f64 (log.f64 y) 2) 1/4) (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 1/2 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (log.f64 y) -1/2 (*.f64 (-.f64 1 (log.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (log.f64 y) -1/2 (*.f64 (-.f64 1 (log.f64 y)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (log.f64 y) -1/2 (*.f64 (-.f64 1 (log.f64 y)) y))) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) -1/2 (*.f64 (-.f64 1 (log.f64 y)) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) -1/2 (*.f64 (-.f64 1 (log.f64 y)) y))) 2) (cbrt.f64 (fma.f64 (log.f64 y) -1/2 (*.f64 (-.f64 1 (log.f64 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (log.f64 y) -1/2 (*.f64 (-.f64 1 (log.f64 y)) y))) (sqrt.f64 (fma.f64 (log.f64 y) -1/2 (*.f64 (-.f64 1 (log.f64 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 y)) y) 3) (*.f64 -1/8 (pow.f64 (log.f64 y) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 y)) y) 2) (*.f64 (*.f64 (log.f64 y) -1/2) (-.f64 (*.f64 (log.f64 y) -1/2) (*.f64 (-.f64 1 (log.f64 y)) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 y)) y) 2) (*.f64 (pow.f64 (log.f64 y) 2) 1/4)) (/.f64 1 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 1/2 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 y)) y) 2) (*.f64 (*.f64 (log.f64 y) -1/2) (-.f64 (*.f64 (log.f64 y) -1/2) (*.f64 (-.f64 1 (log.f64 y)) y)))) (+.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 y)) y) 3) (*.f64 -1/8 (pow.f64 (log.f64 y) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 1/2 (log.f64 y))) (-.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 y)) y) 2) (*.f64 (pow.f64 (log.f64 y) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 y)) y) 3) (*.f64 -1/8 (pow.f64 (log.f64 y) 3))) (+.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 y)) y) 2) (*.f64 (*.f64 (log.f64 y) -1/2) (-.f64 (*.f64 (log.f64 y) -1/2) (*.f64 (-.f64 1 (log.f64 y)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 y)) y) 3) (*.f64 -1/8 (pow.f64 (log.f64 y) 3))) (+.f64 (*.f64 (pow.f64 (log.f64 y) 2) 1/4) (-.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 y)) y) 2) (*.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 (log.f64 y) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 y)) y) 2) (*.f64 (pow.f64 (log.f64 y) 2) 1/4)) (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 1/2 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 y)) y) 3) (*.f64 -1/8 (pow.f64 (log.f64 y) 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 y)) y) 2) (*.f64 (*.f64 (log.f64 y) -1/2) (-.f64 (*.f64 (log.f64 y) -1/2) (*.f64 (-.f64 1 (log.f64 y)) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 (log.f64 y)) y) 2) (*.f64 (pow.f64 (log.f64 y) 2) 1/4))) (neg.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 1/2 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (log.f64 y) 2) 1/4) (pow.f64 (*.f64 (-.f64 1 (log.f64 y)) y) 2)) (-.f64 (*.f64 (log.f64 y) -1/2) (*.f64 (-.f64 1 (log.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (log.f64 y) -1/2 (*.f64 (-.f64 1 (log.f64 y)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (log.f64 y) -1/2 (*.f64 (-.f64 1 (log.f64 y)) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) -1/2 (*.f64 (-.f64 1 (log.f64 y)) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (log.f64 y) -1/2 (*.f64 (-.f64 1 (log.f64 y)) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (log.f64 y) -1/2 (*.f64 (-.f64 1 (log.f64 y)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 y -1/2) (exp.f64 (*.f64 (-.f64 1 (log.f64 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (log.f64 y) -1/2 (*.f64 (-.f64 1 (log.f64 y)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) -1/2 (*.f64 (-.f64 1 (log.f64 y)) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (log.f64 y) -1/2 (*.f64 (-.f64 1 (log.f64 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (log.f64 y) -1/2 (*.f64 (-.f64 1 (log.f64 y)) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 (log.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (log.f64 y) -1/2) (*.f64 (-.f64 1 (log.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 y) -1/2 (*.f64 (-.f64 1 (log.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (/.f64 1 (+.f64 1 (log.f64 y))) (*.f64 (log.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (log.f64 y) (*.f64 (-.f64 1 (log.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) -1/2)) 2) (cbrt.f64 (*.f64 (log.f64 y) -1/2)) (*.f64 (-.f64 1 (log.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (log.f64 y)) y)) 2) (cbrt.f64 (*.f64 (-.f64 1 (log.f64 y)) y)) (*.f64 (log.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (log.f64 y) -1/2)) (sqrt.f64 (*.f64 (log.f64 y) -1/2)) (*.f64 (-.f64 1 (log.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 1 (log.f64 y)) y)) (sqrt.f64 (*.f64 (-.f64 1 (log.f64 y)) y)) (*.f64 (log.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (log.f64 y) -1/2 (*.f64 (-.f64 1 (log.f64 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (log.f64 y) -1/2 (*.f64 (-.f64 1 (log.f64 y)) y))))))))

simplify44.0ms (1.1%)

Algorithm
egg-herbie
Rules
704×div-sub_binary64
612×fma-neg_binary64
281×associate-*l*_binary64
271×associate-*r*_binary64
189×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046736
1111736
2261736
3735664
43915664
Stop Event
node limit
Counts
140 → 119
Calls
Call 1
Inputs
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (+.f64 1 (log.f64 y)))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (+.f64 1 (log.f64 y)))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (+.f64 1 (log.f64 y)))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (+.f64 1 (log.f64 y)))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2))) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2))) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2))) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2))) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))
(*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2)))
(*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2)))
(*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2)))
(*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2)))
(*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2)))
(*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2)))
(*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2)))
(*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2)))
(*.f64 -1/2 (log.f64 y))
(+.f64 (*.f64 -1/2 (log.f64 y)) (*.f64 (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))) y))
(+.f64 (*.f64 -1/2 (log.f64 y)) (*.f64 (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))) y))
(+.f64 (*.f64 -1/2 (log.f64 y)) (*.f64 (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))) y))
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))))
(+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))))) (*.f64 1/2 (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))))) (*.f64 1/2 (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))))) (*.f64 1/2 (log.f64 (/.f64 1 y))))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (/.f64 (*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (/.f64 (*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (/.f64 (*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))))
Outputs
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (+.f64 1 (log.f64 y)))
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2))))
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2)))
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y))))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (+.f64 1 (log.f64 y)))
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2))))
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2)))
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y))))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (+.f64 1 (log.f64 y)))
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2))))
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2)))
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y))))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (+.f64 1 (log.f64 y)))
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2))))
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2)))
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y))))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2))) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2))))
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2)))
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y))))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2))) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2))))
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2)))
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y))))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2))) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2))))
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2)))
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y))))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2))) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2))))
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2)))
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y))))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2))))
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2)))
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y))))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2))))
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2)))
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y))))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2))))
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2)))
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y))))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2))))
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2)))
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y))))
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))
(-.f64 y (*.f64 y (pow.f64 (log.f64 y) 2)))
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))
(-.f64 y (*.f64 y (pow.f64 (log.f64 y) 2)))
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))
(-.f64 y (*.f64 y (pow.f64 (log.f64 y) 2)))
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))
(-.f64 y (*.f64 y (pow.f64 (log.f64 y) 2)))
(*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2)))
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))
(-.f64 y (*.f64 y (pow.f64 (log.f64 y) 2)))
(*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2)))
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))
(-.f64 y (*.f64 y (pow.f64 (log.f64 y) 2)))
(*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2)))
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))
(-.f64 y (*.f64 y (pow.f64 (log.f64 y) 2)))
(*.f64 y (-.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2)))
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))
(-.f64 y (*.f64 y (pow.f64 (log.f64 y) 2)))
(*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2)))
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))
(-.f64 y (*.f64 y (pow.f64 (log.f64 y) 2)))
(*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2)))
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))
(-.f64 y (*.f64 y (pow.f64 (log.f64 y) 2)))
(*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2)))
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))
(-.f64 y (*.f64 y (pow.f64 (log.f64 y) 2)))
(*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2)))
(*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2)))
(-.f64 y (*.f64 y (pow.f64 (log.f64 y) 2)))
(*.f64 -1/2 (log.f64 y))
(*.f64 (log.f64 y) -1/2)
(+.f64 (*.f64 -1/2 (log.f64 y)) (*.f64 (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))) y))
(fma.f64 -1/2 (log.f64 y) (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y))))))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))) (*.f64 (log.f64 y) -1/2))
(fma.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y))) (*.f64 (log.f64 y) -1/2))
(+.f64 (*.f64 -1/2 (log.f64 y)) (*.f64 (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))) y))
(fma.f64 -1/2 (log.f64 y) (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y))))))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))) (*.f64 (log.f64 y) -1/2))
(fma.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y))) (*.f64 (log.f64 y) -1/2))
(+.f64 (*.f64 -1/2 (log.f64 y)) (*.f64 (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))) y))
(fma.f64 -1/2 (log.f64 y) (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y))))))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))) (*.f64 (log.f64 y) -1/2))
(fma.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y))) (*.f64 (log.f64 y) -1/2))
(*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))))
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2))))
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2)))
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y))))
(+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))))) (*.f64 1/2 (log.f64 (/.f64 1 y))))
(fma.f64 -1/2 (log.f64 y) (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y))))))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))) (*.f64 (log.f64 y) -1/2))
(fma.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y))) (*.f64 (log.f64 y) -1/2))
(+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))))) (*.f64 1/2 (log.f64 (/.f64 1 y))))
(fma.f64 -1/2 (log.f64 y) (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y))))))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))) (*.f64 (log.f64 y) -1/2))
(fma.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y))) (*.f64 (log.f64 y) -1/2))
(+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (/.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))))) (*.f64 1/2 (log.f64 (/.f64 1 y))))
(fma.f64 -1/2 (log.f64 y) (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y))))))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))) (*.f64 (log.f64 y) -1/2))
(fma.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y))) (*.f64 (log.f64 y) -1/2))
(/.f64 (*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1))))
(/.f64 y (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2))))
(*.f64 (/.f64 y (+.f64 1 (log.f64 y))) (-.f64 1 (pow.f64 (log.f64 y) 2)))
(*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (/.f64 (*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))))
(fma.f64 -1/2 (log.f64 y) (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y))))))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))) (*.f64 (log.f64 y) -1/2))
(fma.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y))) (*.f64 (log.f64 y) -1/2))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (/.f64 (*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))))
(fma.f64 -1/2 (log.f64 y) (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y))))))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))) (*.f64 (log.f64 y) -1/2))
(fma.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y))) (*.f64 (log.f64 y) -1/2))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (/.f64 (*.f64 y (-.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 1 (log.f64 -1)))))
(fma.f64 -1/2 (log.f64 y) (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y))))))
(fma.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y)))) (*.f64 (log.f64 y) -1/2))
(fma.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 y (+.f64 1 (log.f64 y))) (*.f64 (log.f64 y) -1/2))

prune184.0ms (4.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1373140
Fresh325
Picked011
Done000
Total1406146
Error
0b
Counts
146 → 6
Alt Table
StatusErrorProgram
0.1b
(+.f64 (+.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) y) (+.f64 (log.f64 y) 1)) (*.f64 -1/2 (log.f64 y))) (-.f64 x z))
42.4b
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 3) (pow.f64 (-.f64 x z) 3)) (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)))
0.3b
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) -1/2)) 2) (cbrt.f64 (*.f64 (log.f64 y) -1/2)) (*.f64 (-.f64 1 (log.f64 y)) y)) (-.f64 x z))
0.2b
(+.f64 (+.f64 (/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 4)) y) (+.f64 1 (pow.f64 (log.f64 y) 2))) (+.f64 (log.f64 y) 1)) (*.f64 -1/2 (log.f64 y))) (-.f64 x z))
0.2b
(+.f64 (-.f64 y z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
0.1b
(+.f64 (+.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 1 (/.f64 (+.f64 1 (log.f64 y)) y))) (*.f64 -1/2 (log.f64 y))) (-.f64 x z))
Compiler

Compiled 3720 to 2182 computations (41.3% saved)

regimes718.0ms (18.6%)

Accuracy

Total 0.1b remaining (75.4%)

Threshold costs 0.1b (75.4%)

Counts
191 → 1
Compiler

Compiled 3637 to 1898 computations (47.8% 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
01219
12019
22519
32819
42919
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 1 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) (neg.f64 z))
Outputs
(fma.f64 1 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) (neg.f64 z))

end130.0ms (3.4%)

Stop Event
fuel
Compiler

Compiled 199 to 131 computations (34.2% saved)

Profiling

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