Details

Time bar (total: 9.7s)

analyze1.6s (16.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
4.7%70.2%25.1%7
8.6%66.3%25.1%8
13.7%61.2%25.1%9
20.5%41.9%37.6%10
24.3%38.1%37.6%11
28.5%33.9%37.6%12
33.3%22.9%43.8%13
35.8%20.4%43.8%14
Compiler

Compiled 32 to 21 computations (34.4% saved)

sample3.2s (33%)

Results
2.8s8256×body128valid
328.0ms977×body128invalid
Compiler

Compiled 64 to 42 computations (34.4% saved)

preprocess69.0ms (0.7%)

Algorithm
egg-herbie
Rules
628×fma-def_binary64
405×associate-/l/_binary64
300×distribute-rgt-in_binary64
288×cube-prod_binary64
262×associate-*l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05088
19184
210884
314156
419644
522144
664844
7243744
8404144
9441944
033
133
Stop Event
unsound
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
0
2
Call 2
Inputs
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) (*.f64 (atan2.f64 re im) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 base base) (*.f64 im im)))) (log.f64 re)) (*.f64 (atan2.f64 im base) 0)) (+.f64 (*.f64 (log.f64 re) (log.f64 re)) (*.f64 0 0)))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 base base)))) (log.f64 im)) (*.f64 (atan2.f64 base re) 0)) (+.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 0 0)))
Outputs
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) (*.f64 (atan2.f64 re im) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 base base) (*.f64 im im)))) (log.f64 re)) (*.f64 (atan2.f64 im base) 0)) (+.f64 (*.f64 (log.f64 re) (log.f64 re)) (*.f64 0 0)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 base im)) (log.f64 re) 0) (*.f64 (log.f64 re) (log.f64 re)))
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 im base)) (log.f64 re)) (log.f64 re)) (log.f64 re))
(/.f64 (/.f64 (log.f64 (hypot.f64 im base)) (/.f64 (log.f64 re) (log.f64 re))) (log.f64 re))
(/.f64 (log.f64 (hypot.f64 im base)) (*.f64 (log.f64 re) 1))
(/.f64 (log.f64 (hypot.f64 im base)) (log.f64 re))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 base base)))) (log.f64 im)) (*.f64 (atan2.f64 base re) 0)) (+.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 0 0)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re base)) (log.f64 im) 0) (*.f64 (log.f64 im) (log.f64 im)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re base)) (log.f64 im)) (*.f64 (log.f64 im) (log.f64 im)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re base)) (log.f64 im)) (/.f64 (log.f64 im) (log.f64 im)))
(/.f64 (log.f64 (hypot.f64 re base)) (*.f64 (log.f64 im) 1))
(/.f64 (log.f64 (hypot.f64 re base)) (log.f64 im))
Symmetry

(sort re im)

Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify48.0ms (0.5%)

Algorithm
egg-herbie
Rules
567×associate-/l/_binary64
526×cube-prod_binary64
434×times-frac_binary64
365×sqr-pow_binary64
291×pow-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01922
13121
23821
34914
46611
57511
621811
7119611
8180411
9201511
10250911
11299211
12386911
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
Outputs
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) 1))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

prune8.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.3b
Counts
3 → 2
Alt Table
StatusErrorProgram
33.9b
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
0.3b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Compiler

Compiled 120 to 77 computations (35.8% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 re im)
0.3b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

series1.0s (10.4%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
316.0ms
base
@-inf
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
309.0ms
base
@0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
308.0ms
base
@inf
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
16.0ms
im
@0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
9.0ms
re
@0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

rewrite59.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
779×pow1_binary64
713×log1p-expm1-u_binary64
713×expm1-log1p-u_binary64
81×add-sqr-sqrt_binary64
80×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
115815
2194615
Stop Event
node limit
Counts
2 → 54
Calls
Call 1
Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(hypot.f64 re im)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 re im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 re im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 re im) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 re im) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 re im)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 re im)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 re im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 re im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 re im)))))))

simplify88.0ms (0.9%)

Algorithm
egg-herbie
Rules
762×times-frac_binary64
406×associate-/r*_binary64
360×associate-/l*_binary64
332×fma-def_binary64
209×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01331684
13941570
211881490
Stop Event
node limit
Counts
114 → 129
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 im) (log.f64 base)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 im) (log.f64 base))) (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(-.f64 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))))
(-.f64 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im) (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)) (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))))
re
(+.f64 re (*.f64 1/2 (/.f64 (pow.f64 im 2) re)))
(-.f64 (+.f64 re (*.f64 1/2 (/.f64 (pow.f64 im 2) re))) (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 1/2 (/.f64 (pow.f64 im 2) re)))) (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))
(*.f64 -1 re)
(neg.f64 (+.f64 re (*.f64 1/2 (/.f64 (pow.f64 im 2) re))))
(-.f64 (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (+.f64 re (*.f64 1/2 (/.f64 (pow.f64 im 2) re))))
(-.f64 (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 1/2 (/.f64 (pow.f64 im 2) re)))))
re
(+.f64 re (*.f64 1/2 (/.f64 (pow.f64 im 2) re)))
(-.f64 (+.f64 re (*.f64 1/2 (/.f64 (pow.f64 im 2) re))) (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 1/2 (/.f64 (pow.f64 im 2) re)))) (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im) (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)) (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))))
(*.f64 -1 im)
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(-.f64 (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(-.f64 (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
Outputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 im) (log.f64 base))) (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base))) (/.f64 (*.f64 1/4 (pow.f64 re 4)) (*.f64 (log.f64 base) (pow.f64 im 4))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (/.f64 (*.f64 -1/4 (pow.f64 re 4)) (*.f64 (log.f64 base) (pow.f64 im 4)))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (fma.f64 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) -1/4 (/.f64 (log.f64 im) (log.f64 base))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base)))) (/.f64 (*.f64 1/4 (pow.f64 re 4)) (*.f64 (log.f64 base) (pow.f64 im 4))))
(fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (/.f64 (*.f64 -1/4 (pow.f64 re 4)) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) -1/4 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))
(/.f64 (log.f64 re) (log.f64 base))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(-.f64 (/.f64 (*.f64 1/2 (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(-.f64 (/.f64 (/.f64 (*.f64 1/2 (*.f64 im im)) (log.f64 base)) (*.f64 re re)) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re)) (/.f64 (log.f64 re) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(-.f64 (/.f64 (*.f64 1/2 (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(-.f64 (/.f64 (/.f64 (*.f64 1/2 (*.f64 im im)) (log.f64 base)) (*.f64 re re)) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) -1/4 (fma.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re)) (/.f64 (log.f64 re) (log.f64 base))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(-.f64 (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (pow.f64 re 6)) (/.f64 (*.f64 1/2 (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re)))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))) (fma.f64 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) -1/4 (fma.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re)) (/.f64 (log.f64 re) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (/.f64 (*.f64 1/2 (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (/.f64 (/.f64 (*.f64 1/2 (*.f64 im im)) (log.f64 base)) (*.f64 re re)) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (/.f64 (*.f64 1/2 (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (/.f64 (/.f64 (*.f64 1/2 (*.f64 im im)) (log.f64 base)) (*.f64 re re)) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (*.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (pow.f64 re 6)) (/.f64 (*.f64 1/2 (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re)))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re)) (/.f64 (/.f64 1/6 (/.f64 (pow.f64 re 6) (pow.f64 im 6))) (log.f64 base))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(/.f64 (log.f64 re) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(-.f64 (/.f64 (*.f64 1/2 (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(-.f64 (/.f64 (/.f64 (*.f64 1/2 (*.f64 im im)) (log.f64 base)) (*.f64 re re)) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re)) (/.f64 (log.f64 re) (log.f64 base)))
(-.f64 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))))
(-.f64 (/.f64 (*.f64 1/2 (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(-.f64 (/.f64 (/.f64 (*.f64 1/2 (*.f64 im im)) (log.f64 base)) (*.f64 re re)) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) -1/4 (fma.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re)) (/.f64 (log.f64 re) (log.f64 base))))
(-.f64 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))))
(-.f64 (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (pow.f64 re 6)) (/.f64 (*.f64 1/2 (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re)))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))) (fma.f64 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) -1/4 (fma.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re)) (/.f64 (log.f64 re) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base))) (/.f64 (*.f64 1/4 (pow.f64 re 4)) (*.f64 (log.f64 base) (pow.f64 im 4))))
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(-.f64 (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
(-.f64 (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (fma.f64 1/2 (/.f64 (*.f64 re re) im) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(-.f64 (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (fma.f64 1/2 (*.f64 (/.f64 re im) re) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))

prune166.0ms (1.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New11712129
Fresh101
Picked101
Done000
Total11912131
Error
0.0b
Counts
131 → 12
Alt Table
StatusErrorProgram
0.4b
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
0.4b
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
33.7b
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
1.2b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
0.7b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
16.4b
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
0.6b
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
1.3b
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
17.6b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
32.8b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
17.0b
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
0.7b
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
Compiler

Compiled 2712 to 1455 computations (46.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 re im)
0.3b
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
0.4b
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))

series1.1s (11.9%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
184.0ms
base
@inf
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
183.0ms
base
@0
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
177.0ms
base
@-inf
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
165.0ms
base
@inf
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
162.0ms
base
@0
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))

rewrite48.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
861×log1p-expm1-u_binary64
861×expm1-log1p-u_binary64
100×add-sqr-sqrt_binary64
98×pow1_binary64
96×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01025
120022
2240022
Stop Event
node limit
Counts
2 → 76
Calls
Call 1
Inputs
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 1 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 base)) (/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (/.f64 (cbrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 base)) 1) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2))) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2))) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2))) (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1) (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2)) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (log.f64 (hypot.f64 re im))) (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))))

simplify53.0ms (0.6%)

Algorithm
egg-herbie
Rules
465×times-frac_binary64
386×associate-/r*_binary64
283×associate-/l*_binary64
248×fma-def_binary64
193×associate-*r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03523790
112803520
Stop Event
node limit
Counts
148 → 179
Calls
Call 1
Inputs
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 im))
(-.f64 (/.f64 (log.f64 base) (log.f64 im)) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (/.f64 (log.f64 base) (log.f64 im)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (/.f64 (log.f64 base) (log.f64 im)))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6)))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (*.f64 (pow.f64 (log.f64 im) 4) (pow.f64 im 6)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2))))))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re))))
(neg.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 re 2))))))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 re 4)))) (+.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 re 2)))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 re 4)))))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 re 4)))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 6)) (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 re 6))))) (+.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 6)) (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 4) (pow.f64 re 6)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 re 2)))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 6)) (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 re 6)))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 re 4)))))))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(neg.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 re 2))))))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 re 4)))) (+.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 re 4)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 re 2)))))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 6)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 re 6)))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 re 4))))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 6)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 4) (pow.f64 re 6)))) (+.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 re 4)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 re 2)))) (*.f64 1/6 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 6)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 re 6)))))))))
(/.f64 (log.f64 base) (log.f64 re))
(-.f64 (/.f64 (log.f64 base) (log.f64 re)) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 re) 2)))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (*.f64 (pow.f64 re 4) (pow.f64 (log.f64 re) 3)))) (+.f64 (/.f64 (log.f64 base) (log.f64 re)) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (*.f64 (pow.f64 re 4) (pow.f64 (log.f64 re) 2)))))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 re) 2)))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (*.f64 (pow.f64 re 4) (pow.f64 (log.f64 re) 3)))) (+.f64 (/.f64 (log.f64 base) (log.f64 re)) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (*.f64 (pow.f64 re 4) (pow.f64 (log.f64 re) 2)))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 re) 2)))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 6)) (*.f64 (pow.f64 re 6) (pow.f64 (log.f64 re) 4)))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 6)) (*.f64 (pow.f64 re 6) (pow.f64 (log.f64 re) 3)))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 6)) (*.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 6)))) (*.f64 1/6 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 6)) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 6)))))))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(neg.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 2))))))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 4)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 3) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 2)))))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 3) (pow.f64 im 6)))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 4))))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 4) (pow.f64 im 6)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 3) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 2)))) (*.f64 1/6 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 6)))))))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))
(neg.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 im 2)))) (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 im 4)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 im 2)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 im 4)))) (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 im 4)))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 im 6))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 im 2)))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 im 6)))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 4) (pow.f64 im 6)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 im 4)))) (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 im) (log.f64 base)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 im 4))))) (/.f64 (log.f64 im) (log.f64 base)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4)))))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 re 6) (*.f64 (pow.f64 (log.f64 im) 2) (*.f64 (log.f64 base) (pow.f64 im 6))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 im 4))))) (/.f64 (log.f64 im) (log.f64 base)))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6))))) (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4))))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (*.f64 (pow.f64 re 4) (log.f64 re))))) (+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (*.f64 (log.f64 re) (pow.f64 re 4)))))))
(-.f64 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (*.f64 (pow.f64 re 4) (log.f64 re))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 6))))) (*.f64 1/8 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (*.f64 (log.f64 re) (pow.f64 re 6)))))))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (*.f64 (log.f64 re) (pow.f64 re 4))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (*.f64 (pow.f64 re 6) (pow.f64 (log.f64 re) 2))))) (*.f64 1/8 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (*.f64 (pow.f64 re 6) (log.f64 re)))))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
Outputs
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
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(-.f64 (*.f64 1/2 (/.f64 (/.f64 (*.f64 re re) (log.f64 base)) (*.f64 im im))) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (*.f64 (/.f64 1/2 (*.f64 im im)) (/.f64 re (/.f64 (log.f64 base) re))) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 base)) (pow.f64 im 6)) (*.f64 1/2 (/.f64 (/.f64 (*.f64 re re) (log.f64 base)) (*.f64 im im)))) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (*.f64 (/.f64 1/2 (*.f64 im im)) (/.f64 re (/.f64 (log.f64 base) re)))) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))

prune181.0ms (1.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New2255230
Fresh5611
Picked101
Done000
Total23111242
Error
0.0b
Counts
242 → 11
Alt Table
StatusErrorProgram
0.4b
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
16.4b
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
0.8b
(/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
0.6b
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
0.4b
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
0.6b
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3))) -1)
1.6b
(pow.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) -1)
0.7b
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) -1)
32.8b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
33.7b
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
0.7b
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
Compiler

Compiled 6771 to 3887 computations (42.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 re im)
0.3b
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
0.4b
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))

series480.0ms (5%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
156.0ms
base
@-inf
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
148.0ms
base
@inf
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
146.0ms
base
@0
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
6.0ms
re
@inf
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
5.0ms
re
@0
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))

rewrite40.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
858×log1p-expm1-u_binary64
858×expm1-log1p-u_binary64
99×add-sqr-sqrt_binary64
97×pow1_binary64
96×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01014
119911
2242811
Stop Event
node limit
Counts
1 → 40
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2)) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) 1) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (log.f64 (hypot.f64 re im))) (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))))

simplify42.0ms (0.4%)

Algorithm
egg-herbie
Rules
890×fma-neg_binary64
294×times-frac_binary64
218×sub-neg_binary64
218×fma-def_binary64
198×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0961148
12631052
27301012
33023992
Stop Event
node limit
Counts
76 → 83
Calls
Call 1
Inputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 im) (log.f64 base)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 im) (log.f64 base))) (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(-.f64 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))))
(-.f64 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
Outputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
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(fma.f64 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) -1/4 (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 re (/.f64 (log.f64 base) (/.f64 re (*.f64 im im)))) (/.f64 (log.f64 im) (log.f64 base)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (*.f64 (/.f64 re (/.f64 (log.f64 base) re)) (-.f64 (/.f64 1/2 (*.f64 im im)) (/.f64 (*.f64 (*.f64 re re) 1/4) (pow.f64 im 4))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 base))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (/.f64 (*.f64 1/2 (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 base))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 re (/.f64 (log.f64 base) (/.f64 re (*.f64 im im))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (/.f64 (*.f64 1/2 (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 base))) (fma.f64 1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 im 4)) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base)))) (fma.f64 1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (/.f64 re (/.f64 (log.f64 base) (/.f64 re (*.f64 im im)))) (*.f64 (/.f64 -1/4 (pow.f64 im 4)) (/.f64 (pow.f64 re 4) (log.f64 base)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (*.f64 (/.f64 re (/.f64 (log.f64 base) re)) (-.f64 (/.f64 1/2 (*.f64 im im)) (/.f64 (*.f64 (*.f64 re re) 1/4) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (/.f64 (*.f64 1/2 (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 base)))) (fma.f64 1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 im 4)) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))))) (fma.f64 1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(fma.f64 1/2 (/.f64 re (/.f64 (log.f64 base) (/.f64 re (*.f64 im im)))) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (-.f64 (*.f64 (/.f64 -1/4 (pow.f64 im 4)) (/.f64 (pow.f64 re 4) (log.f64 base))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (*.f64 (/.f64 re (/.f64 (log.f64 base) re)) (-.f64 (/.f64 1/2 (*.f64 im im)) (/.f64 (*.f64 (*.f64 re re) 1/4) (pow.f64 im 4))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))

prune157.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New2190219
Fresh01010
Picked011
Done000
Total21911230
Error
0.0b
Counts
230 → 11
Alt Table
StatusErrorProgram
0.4b
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
16.4b
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
0.8b
(/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
0.6b
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
0.4b
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
0.6b
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3))) -1)
1.6b
(pow.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) -1)
0.7b
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) -1)
32.8b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
33.7b
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
0.7b
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
Compiler

Compiled 6045 to 3484 computations (42.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 re im)
0.3b
(/.f64 1 (log.f64 base))
0.3b
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))

series509.0ms (5.2%)

Counts
2 → 44
Calls

12 calls:

TimeVariablePointExpression
153.0ms
base
@-inf
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
147.0ms
base
@inf
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
143.0ms
base
@0
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
14.0ms
base
@-inf
(/.f64 1 (log.f64 base))
11.0ms
base
@0
(/.f64 1 (log.f64 base))

rewrite37.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
782×log1p-expm1-u_binary64
782×expm1-log1p-u_binary64
95×add-sqr-sqrt_binary64
93×pow1_binary64
92×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
119417
2224217
Stop Event
node limit
Counts
2 → 49
Calls
Call 1
Inputs
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(/.f64 1 (log.f64 base))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (hypot.f64 re im)) -1) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 1 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (pow.f64 (sqrt.f64 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 base) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))))))

simplify44.0ms (0.5%)

Algorithm
egg-herbie
Rules
890×fma-neg_binary64
294×times-frac_binary64
219×sub-neg_binary64
214×fma-def_binary64
199×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0981212
12651116
27321060
330201040
Stop Event
node limit
Counts
93 → 95
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 im) (log.f64 base)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 im) (log.f64 base))) (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(-.f64 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))))
(-.f64 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
Outputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 im) (log.f64 base))) (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (/.f64 (*.f64 -1/4 (pow.f64 re 4)) (*.f64 (log.f64 base) (pow.f64 im 4)))))
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (fma.f64 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) -1/4 (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 (*.f64 (/.f64 re (log.f64 base)) re) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 re re) (pow.f64 im 4))) (/.f64 1/2 (*.f64 im im)))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base)))) (/.f64 (*.f64 -1/4 (pow.f64 re 4)) (*.f64 (log.f64 base) (pow.f64 im 4))))
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) -1/4 (/.f64 (log.f64 im) (log.f64 base)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (*.f64 (*.f64 (/.f64 re (log.f64 base)) re) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 re re) (pow.f64 im 4))) (/.f64 1/2 (*.f64 im im))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))
(/.f64 (log.f64 re) (log.f64 base))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (/.f64 (log.f64 re) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(-.f64 (*.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re)))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (fma.f64 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) -1/4 (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 (/.f64 im (/.f64 (log.f64 base) im)) (-.f64 (/.f64 1/2 (*.f64 re re)) (/.f64 (*.f64 (*.f64 im im) 1/4) (pow.f64 re 4)))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(-.f64 (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (pow.f64 re 6)) (*.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re)))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))) (fma.f64 1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (fma.f64 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) -1/4 (/.f64 (log.f64 re) (log.f64 base)))))
(+.f64 (*.f64 (/.f64 im (/.f64 (log.f64 base) im)) (-.f64 (/.f64 1/2 (*.f64 re re)) (/.f64 (*.f64 (*.f64 im im) 1/4) (pow.f64 re 4)))) (fma.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))) (/.f64 (log.f64 re) (log.f64 base))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (*.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re)))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (*.f64 1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (*.f64 (/.f64 im (/.f64 (log.f64 base) im)) (-.f64 (/.f64 1/2 (*.f64 re re)) (/.f64 (*.f64 (*.f64 im im) 1/4) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (pow.f64 re 6)) (*.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re)))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (/.f64 (/.f64 (pow.f64 im 6) (/.f64 (log.f64 base) 1/6)) (pow.f64 re 6))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))) (*.f64 (/.f64 im (/.f64 (log.f64 base) im)) (-.f64 (/.f64 1/2 (*.f64 re re)) (/.f64 (*.f64 (*.f64 im im) 1/4) (pow.f64 re 4))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (log.f64 re) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(-.f64 (*.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (/.f64 (log.f64 re) (log.f64 base)))
(-.f64 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))))
(-.f64 (*.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re)))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (fma.f64 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) -1/4 (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 (/.f64 im (/.f64 (log.f64 base) im)) (-.f64 (/.f64 1/2 (*.f64 re re)) (/.f64 (*.f64 (*.f64 im im) 1/4) (pow.f64 re 4)))))
(-.f64 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))))
(-.f64 (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (pow.f64 re 6)) (*.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re)))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))) (fma.f64 1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (fma.f64 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) -1/4 (/.f64 (log.f64 re) (log.f64 base)))))
(+.f64 (*.f64 (/.f64 im (/.f64 (log.f64 base) im)) (-.f64 (/.f64 1/2 (*.f64 re re)) (/.f64 (*.f64 (*.f64 im im) 1/4) (pow.f64 re 4)))) (fma.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))) (/.f64 (log.f64 re) (log.f64 base))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (/.f64 (*.f64 -1/4 (pow.f64 re 4)) (*.f64 (log.f64 base) (pow.f64 im 4)))))
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (fma.f64 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) -1/4 (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 (*.f64 (/.f64 re (log.f64 base)) re) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 re re) (pow.f64 im 4))) (/.f64 1/2 (*.f64 im im)))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base)))) (/.f64 (*.f64 -1/4 (pow.f64 re 4)) (*.f64 (log.f64 base) (pow.f64 im 4))))
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) -1/4 (/.f64 (log.f64 im) (log.f64 base)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (*.f64 (*.f64 (/.f64 re (log.f64 base)) re) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 re re) (pow.f64 im 4))) (/.f64 1/2 (*.f64 im im))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 base))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (/.f64 (*.f64 1/2 (*.f64 re re)) (*.f64 (log.f64 base) (*.f64 im im))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (/.f64 (*.f64 1/2 (*.f64 re re)) (*.f64 (log.f64 base) (*.f64 im im))) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im)))) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im)))) (fma.f64 1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (*.f64 (*.f64 (/.f64 re (log.f64 base)) re) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 re re) (pow.f64 im 4))) (/.f64 1/2 (*.f64 im im)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (/.f64 (*.f64 1/2 (*.f64 re re)) (*.f64 (log.f64 base) (*.f64 im im)))) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))))) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))))) (fma.f64 1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (*.f64 (*.f64 (/.f64 re (log.f64 base)) re) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 re re) (pow.f64 im 4))) (/.f64 1/2 (*.f64 im im))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))

prune86.0ms (0.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1451146
Fresh279
Picked011
Done011
Total14710157
Error
0.0b
Counts
157 → 10
Alt Table
StatusErrorProgram
0.4b
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
16.4b
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
0.7b
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
0.7b
(*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
0.8b
(/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
0.6b
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
0.4b
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
0.6b
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3))) -1)
1.6b
(pow.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) -1)
0.7b
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) -1)
Compiler

Compiled 2717 to 1513 computations (44.3% saved)

regimes477.0ms (4.9%)

Accuracy

Total 0.3b remaining (91.6%)

Threshold costs 0.3b (91.6%)

Counts
106 → 1
Compiler

Compiled 7761 to 5691 computations (26.7% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 3)) (log.f64 base))
Outputs
(/.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 3)) (log.f64 base))

end141.0ms (1.5%)

Stop Event
fuel
Remove

(sort re im)

Compiler

Compiled 203 to 152 computations (25.1% saved)

Profiling

Loading profile data...