Details

Time bar (total: 6.2s)

analyze953.0ms (15.3%)

Algorithm
1×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)

sample1.9s (30.1%)

Results
1.7s8256×body128valid
208.0ms1061×body128invalid

preprocess49.0ms (0.8%)

Algorithm
2×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
1×unsound
1×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)

simplify38.0ms (0.6%)

Algorithm
1×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
1×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))

prune4.0ms (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
▶0.3b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
30.9b
(/.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)))
Compiler

Compiled 120 to 77 computations (35.8% saved)

localize7.0ms (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))

series84.0ms (1.3%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
47.0ms
base
@0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
13.0ms
base
@-inf
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
12.0ms
base
@inf
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
3.0ms
re
@0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
2.0ms
re
@inf
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

rewrite42.0ms (0.7%)

Algorithm
1×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
1×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)))))))

simplify47.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
980×times-frac_binary64
592×fma-def_binary64
562×associate-/r*_binary64
485×associate-/l*_binary64
155×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01641694
14631566
213781526
Stop Event
1×node limit
Counts
114 → 131
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.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 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.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 -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 (/.f64 (log.f64 (/.f64 1 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 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 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 (*.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 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 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 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 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 (*.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 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(/.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 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.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 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (*.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 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (*.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 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 base) (pow.f64 im 6)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 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 -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 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 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 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.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) (*.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) (*.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) (*.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) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
im
(+.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)))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(*.f64 -1 re)
(+.f64 (*.f64 -1 re) (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)))
(+.f64 (*.f64 -1 re) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (*.f64 -1/2 (/.f64 (pow.f64 im 2) re))))
(+.f64 (*.f64 -1 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 -1/2 (/.f64 (pow.f64 im 2) re)))))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 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 -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)))
(*.f64 -1 im)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 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 -1 im)))
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 im))))
Outputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im)))))
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (/.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 -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 -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 (log.f64 base)) (/.f64 re (*.f64 im im))) (*.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.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 -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 1/6 (/.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 -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 1/6 (/.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (log.f64 base)) (fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (*.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (pow.f64 im 4))))))
(fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (log.f64 base)) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) (/.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 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re)))))
(-.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 (*.f64 im im) (*.f64 re re))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 (/.f64 im re) re)) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.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 (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 (*.f64 im im) (*.f64 re re))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 (/.f64 im re) re)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.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 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (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))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re))) (*.f64 1/720 (/.f64 (*.f64 (pow.f64 im 6) 120) (*.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 (fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (*.f64 1/720 (/.f64 (/.f64 (*.f64 (pow.f64 im 6) 120) (pow.f64 re 6)) (log.f64 base)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 (/.f64 im re) re)) (fma.f64 (/.f64 1/720 (log.f64 base)) (/.f64 (pow.f64 im 6) (/.f64 (pow.f64 re 6) 120)) (/.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 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re)))))
(-.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 (*.f64 im im) (*.f64 re re))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 (/.f64 im re) re))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.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 (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 (*.f64 im im) (*.f64 re re))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (fma.f64 (/.f64 1/2 (log.f64 base)) (*.f64 (/.f64 im re) (/.f64 im re)) (/.f64 -1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 im 4) (pow.f64 re 4))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.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 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (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))) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (fma.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re))) (*.f64 1/720 (/.f64 (*.f64 (pow.f64 im 6) 120) (*.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 (fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (*.f64 1/720 (/.f64 (/.f64 (*.f64 (pow.f64 im 6) 120) (pow.f64 re 6)) (log.f64 base)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 (/.f64 im re) re)) (*.f64 (/.f64 120 (/.f64 (log.f64 base) (pow.f64 im 6))) (/.f64 1/720 (pow.f64 re 6))))) (/.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)))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re)))))
(-.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 (*.f64 im im) (*.f64 re re))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 (/.f64 im re) re)) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.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 (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 (*.f64 im im) (*.f64 re re))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 (/.f64 im re) re)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (log.f64 re) (log.f64 base))))
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(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 re (/.f64 im re)) 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)))
(fma.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)))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 re (/.f64 im re)) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(*.f64 -1 im)
(neg.f64 im)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 im))
(fma.f64 -1/2 (/.f64 (*.f64 re re) im) (neg.f64 im))
(fma.f64 (/.f64 re (/.f64 im re)) -1/2 (neg.f64 im))
(-.f64 (*.f64 (/.f64 re (/.f64 im re)) -1/2) 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 -1 im)))
(fma.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 -1/2 (/.f64 (*.f64 re re) im) (neg.f64 im)))
(fma.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) 1/8 (fma.f64 (/.f64 re (/.f64 im re)) -1/2 (neg.f64 im)))
(-.f64 (fma.f64 (/.f64 re (/.f64 im re)) -1/2 (*.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) 1/8)) im)
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 im))))
(fma.f64 -1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) (fma.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 -1/2 (/.f64 (*.f64 re re) im) (neg.f64 im))))
(fma.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) -1/16 (fma.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) 1/8 (fma.f64 (/.f64 re (/.f64 im re)) -1/2 (neg.f64 im))))
(-.f64 (fma.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) -1/16 (fma.f64 (/.f64 re (/.f64 im re)) -1/2 (*.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) 1/8))) im)

prune1.2s (19.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1229131
Fresh011
Picked011
Done000
Total12211133
Error
0b
Counts
133 → 11
Alt Table
StatusErrorProgram
1.3b
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
28.5b
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
28.6b
(*.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))))
✓0.3b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
14.7b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
30.9b
(/.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)))
▶0.6b
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
1.4b
(*.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))))
16.8b
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
0.6b
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
0.6b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
Compiler

Compiled 2853 to 1554 computations (45.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series113.0ms (1.8%)

Counts
3 → 80
Calls

21 calls:

TimeVariablePointExpression
42.0ms
base
@0
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
29.0ms
base
@inf
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
20.0ms
base
@-inf
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
3.0ms
re
@0
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
2.0ms
im
@0
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))

rewrite55.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01032
119729
2225929
Stop Event
1×node limit
Counts
3 → 69
Calls
Call 1
Inputs
(pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))
(log.f64 (pow.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 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (*.f64 2 (/.f64 1 (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (*.f64 2 (/.f64 1 (log.f64 base))))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (/.f64 1 (log.f64 base))) (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (/.f64 1 (log.f64 base))) (pow.f64 (cbrt.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base))) (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 re im) (*.f64 2 (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (*.f64 2 (/.f64 1 (log.f64 base)))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))))) (#(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 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))))) (#(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 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (log.f64 (hypot.f64 re im))))))) (#(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 (log.f64 base) -1/2) (*.f64 (pow.f64 (log.f64 base) -1/2) (log.f64 (hypot.f64 re im))))))) (#(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 (*.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))))) (#(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 (*.f64 (log.f64 (hypot.f64 re im)) 1) (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 cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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 (/.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))))))))

simplify88.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
375×distribute-rgt-in_binary64
373×distribute-lft-in_binary64
256×fma-def_binary64
172×associate-/r*_binary64
169×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03064561
19224299
233303827
Stop Event
1×node limit
Counts
149 → 171
Calls
Call 1
Inputs
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 re 2)) (*.f64 (log.f64 base) (pow.f64 im 2)))) (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 re 2)) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (pow.f64 re 4) (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4))))))) (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 re 2)) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (pow.f64 re 4) (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4))))))) (+.f64 (*.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (pow.f64 re 6) (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 6)))) (*.f64 1/48 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6))))))) (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))) (pow.f64 re 4)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (log.f64 base))) (+.f64 (*.f64 1/48 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))) (*.f64 -1/8 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2))))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))) (pow.f64 re 6)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))) (pow.f64 re 4)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
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(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
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(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (*.f64 1/24 (/.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 2))) (*.f64 24 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 base))) (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 2)))))) (pow.f64 im 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 3))) (+.f64 (*.f64 720 (+.f64 (*.f64 1/48 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 3))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 2))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (log.f64 base)))))) (*.f64 -360 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 base))) (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 2)))) (pow.f64 re 2)) (log.f64 base))))) (pow.f64 im 6))))))
(*.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 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(+.f64 (*.f64 1/24 (/.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 2))) (*.f64 24 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 base))) (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 2)))))) (pow.f64 im 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(+.f64 (*.f64 1/24 (/.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 2))) (*.f64 24 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 base))) (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 2)))))) (pow.f64 im 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 3))) (+.f64 (*.f64 720 (+.f64 (*.f64 1/48 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 3))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 2))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (log.f64 base)))))) (*.f64 -360 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 base))) (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 2)))) (pow.f64 re 2)) (log.f64 base))))) (pow.f64 im 6))) (*.f64 -1 (/.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) (*.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) (*.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) (*.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) (*.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) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
Outputs
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 re 2)) (*.f64 (log.f64 base) (pow.f64 im 2)))) (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))
(fma.f64 1/2 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (log.f64 base)) (/.f64 (*.f64 re re) (*.f64 im im))) (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))
(fma.f64 1/2 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im))) (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))) (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 re 2)) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (pow.f64 re 4) (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4))))))) (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(fma.f64 1/2 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (log.f64 base)) (/.f64 (*.f64 re re) (*.f64 im im))) (fma.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (pow.f64 re 4) (-.f64 (/.f64 1/8 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))) (/.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4))))) (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(fma.f64 1/2 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im))) (*.f64 (+.f64 (*.f64 (pow.f64 re 4) (+.f64 (/.f64 (/.f64 1/8 (pow.f64 (log.f64 base) 2)) (pow.f64 im 4)) (/.f64 -1/4 (*.f64 (log.f64 base) (pow.f64 im 4))))) 1) (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 (+.f64 (*.f64 (pow.f64 re 4) (+.f64 (/.f64 1/8 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))) (/.f64 -1/4 (*.f64 (log.f64 base) (pow.f64 im 4))))) 1) (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 re 2)) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (pow.f64 re 4) (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4))))))) (+.f64 (*.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (pow.f64 re 6) (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 6)))) (*.f64 1/48 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6))))))) (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))))
(fma.f64 1/2 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (log.f64 base)) (/.f64 (*.f64 re re) (*.f64 im im))) (fma.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (pow.f64 re 4) (-.f64 (/.f64 1/8 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))) (/.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4))))) (fma.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (pow.f64 re 6) (+.f64 (/.f64 1/6 (*.f64 (log.f64 base) (pow.f64 im 6))) (-.f64 (/.f64 1/48 (*.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))) (/.f64 1/8 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6)))))) (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))))
(+.f64 (*.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (+.f64 (*.f64 (pow.f64 re 4) (+.f64 (/.f64 (/.f64 1/8 (pow.f64 (log.f64 base) 2)) (pow.f64 im 4)) (/.f64 -1/4 (*.f64 (log.f64 base) (pow.f64 im 4))))) (*.f64 (pow.f64 re 6) (+.f64 (/.f64 1/6 (*.f64 (log.f64 base) (pow.f64 im 6))) (+.f64 (/.f64 1/48 (*.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))) (/.f64 -1/8 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6)))))))) (fma.f64 1/2 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im))) (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (+.f64 (+.f64 (*.f64 (pow.f64 re 4) (+.f64 (/.f64 1/8 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))) (/.f64 -1/4 (*.f64 (log.f64 base) (pow.f64 im 4))))) 1) (*.f64 (pow.f64 re 6) (+.f64 (/.f64 1/6 (*.f64 (log.f64 base) (pow.f64 im 6))) (+.f64 (/.f64 1/48 (*.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))) (/.f64 -1/8 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6)))))))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))))
(fma.f64 1/2 (*.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))) (log.f64 base)) (/.f64 (*.f64 im im) (*.f64 re re))) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))))
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))) (log.f64 base))) (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))))
(fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 re) (log.f64 base))) (/.f64 (log.f64 base) (*.f64 (/.f64 im re) (/.f64 im re)))) (exp.f64 (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))) (pow.f64 re 4)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))))
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))) (log.f64 base)) (/.f64 (*.f64 im im) (*.f64 re re))) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))) (/.f64 (fma.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)) (/.f64 (*.f64 -1/4 (pow.f64 im 4)) (log.f64 base))) (/.f64 (pow.f64 re 4) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))))))
(+.f64 (fma.f64 1/2 (*.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))) (log.f64 base))) (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base)))) (*.f64 (/.f64 (fma.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))) (pow.f64 re 4)) (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base)))))
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 re) (log.f64 base))) (/.f64 (log.f64 base) (*.f64 (/.f64 im re) (/.f64 im re))))) (*.f64 (+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 im 4) (log.f64 base)) (+.f64 (/.f64 1/8 (log.f64 base)) -1/4)) (pow.f64 re 4)) 1) (exp.f64 (/.f64 (log.f64 re) (log.f64 base)))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (log.f64 base))) (+.f64 (*.f64 1/48 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))) (*.f64 -1/8 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2))))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))) (pow.f64 re 6)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))))) (pow.f64 re 4)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))) (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))))))
(+.f64 (+.f64 (fma.f64 1/2 (*.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))) (log.f64 base)) (/.f64 (*.f64 im im) (*.f64 re re))) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))) (/.f64 (fma.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)) (/.f64 (*.f64 -1/4 (pow.f64 im 4)) (log.f64 base))) (/.f64 (pow.f64 re 4) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))))) (/.f64 (fma.f64 1/720 (/.f64 (*.f64 (pow.f64 im 6) 120) (log.f64 base)) (fma.f64 1/48 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3)) (/.f64 (*.f64 -1/8 (pow.f64 im 6)) (pow.f64 (log.f64 base) 2)))) (/.f64 (pow.f64 re 6) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))))))
(+.f64 (fma.f64 1/2 (*.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))) (log.f64 base))) (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base)))) (+.f64 (*.f64 (/.f64 (fma.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))) (pow.f64 re 4)) (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base)))) (*.f64 (/.f64 (fma.f64 1/720 (/.f64 (pow.f64 im 6) (/.f64 (log.f64 base) 120)) (fma.f64 1/48 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3)) (/.f64 (*.f64 (pow.f64 im 6) -1/8) (pow.f64 (log.f64 base) 2)))) (pow.f64 re 6)) (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))))))
(+.f64 (fma.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 re) (log.f64 base))) (/.f64 (log.f64 base) (*.f64 (/.f64 im re) (/.f64 im re)))) (exp.f64 (/.f64 (log.f64 re) (log.f64 base)))) (*.f64 (exp.f64 (/.f64 (log.f64 re) (log.f64 base))) (+.f64 (/.f64 (fma.f64 1/720 (/.f64 (pow.f64 im 6) (/.f64 (log.f64 base) 120)) (*.f64 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2)) (+.f64 (/.f64 1/48 (log.f64 base)) -1/8))) (pow.f64 re 6)) (/.f64 (*.f64 (/.f64 (pow.f64 im 4) (log.f64 base)) (+.f64 (/.f64 1/8 (log.f64 base)) -1/4)) (pow.f64 re 4)))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(exp.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)))
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(-.f64 (fma.f64 1/24 (/.f64 (+.f64 (*.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) -6) (*.f64 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 2)) 0)) (pow.f64 im 4)) (fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (/.f64 (*.f64 1/720 (+.f64 (*.f64 -360 (/.f64 (*.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (+.f64 -1/4 (/.f64 1/8 (log.f64 base)))) (/.f64 (log.f64 base) (*.f64 re re)))) (+.f64 (*.f64 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 3)) 45) (*.f64 (fma.f64 -1/8 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 2)) (/.f64 (*.f64 (*.f64 1/720 (pow.f64 re 6)) 120) (log.f64 base))) 720)))) (pow.f64 im 6)))) (/.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))))
(neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.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) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.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) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.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) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))

prune234.0ms (3.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2211222
Fresh189
Picked101
Done011
Total22310233
Error
0b
Counts
233 → 10
Alt Table
StatusErrorProgram
1.3b
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
28.5b
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
14.7b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
30.9b
(/.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)))
0.8b
(log.f64 (pow.f64 (hypot.f64 re im) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))))
1.4b
(*.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))))
16.8b
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
0.6b
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
✓0.3b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶0.6b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
Compiler

Compiled 7219 to 4386 computations (39.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 re im)
0.3b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓0.6b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
✓0.7b
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)

series24.0ms (0.4%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
im
@-inf
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)
3.0ms
im
@inf
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)
3.0ms
re
@inf
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)
2.0ms
re
@0
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)
2.0ms
im
@0
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)

rewrite50.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
904×log1p-expm1-u_binary64
904×expm1-log1p-u_binary64
104×add-sqr-sqrt_binary64
100×pow1_binary64
99×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01125
122925
2253925
Stop Event
1×node limit
Counts
2 → 83
Calls
Call 1
Inputs
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) (pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) 1) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) (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 (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (sqrt.f64 (/.f64 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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 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 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)) 1/3))))) (#(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))))))))

simplify75.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
588×times-frac_binary64
514×associate-/r*_binary64
437×fma-def_binary64
379×associate-/l*_binary64
222×associate-*l/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04375315
115814919
Stop Event
1×node limit
Counts
155 → 187
Calls
Call 1
Inputs
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3))
(+.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))))) (pow.f64 re 2)))
(+.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))))) (pow.f64 re 2)) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))) (log.f64 im)) (log.f64 base)) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))) (pow.f64 re 4))))
(+.f64 (*.f64 (pow.f64 re 6) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (/.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6)))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6))))) (log.f64 im)) (log.f64 base)))))) (+.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))))) (pow.f64 re 2)) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))) (log.f64 im)) (log.f64 base)) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))) (pow.f64 re 4)))))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 (log.f64 base) 3)))
(+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 (log.f64 base) 3))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2))))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4)) (pow.f64 (log.f64 base) 2))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (log.f64 (/.f64 1 re))) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 (log.f64 base) 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2)))) (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4)) (pow.f64 (log.f64 base) 2))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 6)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (+.f64 (*.f64 -1/360 (/.f64 (*.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (log.f64 (/.f64 1 re))) (pow.f64 (log.f64 base) 2))) (*.f64 -1/4 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2))))) (*.f64 (log.f64 base) (pow.f64 re 6)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (pow.f64 (log.f64 (/.f64 1 re)) 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 6)))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4)) (pow.f64 (log.f64 base) 2))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (log.f64 (/.f64 1 re))) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 6)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 6)))) (*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 (log.f64 base) 3))))))))))))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 base) 3)))
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(/.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 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.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 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (*.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 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (*.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 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 base) (pow.f64 im 6)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 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 -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 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 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 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.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) (*.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) (*.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) (*.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) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
Outputs
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3))
(+.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))))) (pow.f64 re 2)))
(+.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (*.f64 (*.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (*.f64 im im)))) (*.f64 re re)))
(fma.f64 (*.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (*.f64 im im)))) (*.f64 re re) (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
(+.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))))) (pow.f64 re 2)) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))) (log.f64 im)) (log.f64 base)) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))) (pow.f64 re 4))))
(+.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (fma.f64 (*.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (*.f64 im im)))) (*.f64 re re) (*.f64 (fma.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4))) (+.f64 (/.f64 (+.f64 (/.f64 1/4 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (*.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))))) (/.f64 (log.f64 base) (log.f64 im))) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))) (pow.f64 re 4))))
(+.f64 (fma.f64 (*.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (*.f64 im im)))) (*.f64 re re) (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3))) (*.f64 (fma.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4))) (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4))) (/.f64 (fma.f64 -1/2 (/.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (pow.f64 im 4)) (/.f64 1/4 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (/.f64 (log.f64 base) (log.f64 im))))) (pow.f64 re 4)))
(+.f64 (*.f64 (pow.f64 re 6) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (/.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6)))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6))))) (log.f64 im)) (log.f64 base)))))) (+.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))))) (pow.f64 re 2)) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))) (log.f64 im)) (log.f64 base)) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))) (pow.f64 re 4)))))
(fma.f64 (pow.f64 re 6) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/4 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (*.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))))) (*.f64 (log.f64 base) (*.f64 im im))) (fma.f64 -1/4 (/.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 3)) (pow.f64 im 6)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6))) (/.f64 (fma.f64 1/3 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6))) (neg.f64 (/.f64 1/4 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6))))) (/.f64 (log.f64 base) (log.f64 im)))))) (+.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (fma.f64 (*.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (*.f64 im im)))) (*.f64 re re) (*.f64 (fma.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4))) (+.f64 (/.f64 (+.f64 (/.f64 1/4 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (*.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))))) (/.f64 (log.f64 base) (log.f64 im))) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))) (pow.f64 re 4)))))
(fma.f64 (pow.f64 re 6) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (pow.f64 im 4)) (/.f64 1/4 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (*.f64 (log.f64 base) (*.f64 im im))) (fma.f64 -1/4 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6))) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6))) (/.f64 (fma.f64 1/3 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6))) (/.f64 -1/4 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6)))) (/.f64 (log.f64 base) (log.f64 im)))))) (+.f64 (fma.f64 (*.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (*.f64 im im)))) (*.f64 re re) (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3))) (*.f64 (fma.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4))) (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4))) (/.f64 (fma.f64 -1/2 (/.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (pow.f64 im 4)) (/.f64 1/4 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (/.f64 (log.f64 base) (log.f64 im))))) (pow.f64 re 4))))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 (log.f64 base) 3)))
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 re)) 3)) (pow.f64 (log.f64 base) 3))
(+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 (log.f64 base) 3))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2))))))
(+.f64 (*.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (pow.f64 (log.f64 base) 3)) (/.f64 (*.f64 im im) (*.f64 re re))) (fma.f64 -1 (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 (log.f64 base) 3)) (*.f64 1/2 (*.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (pow.f64 (log.f64 base) 3)) (/.f64 (*.f64 im im) (*.f64 re re))))))
(fma.f64 (/.f64 (pow.f64 (log.f64 re) 2) (pow.f64 (log.f64 base) 3)) (*.f64 (/.f64 im re) (/.f64 im re)) (-.f64 (*.f64 1/2 (*.f64 (/.f64 (pow.f64 (log.f64 re) 2) (pow.f64 (log.f64 base) 3)) (*.f64 (/.f64 im re) (/.f64 im re)))) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 (log.f64 base) 3))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4)) (pow.f64 (log.f64 base) 2))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (log.f64 (/.f64 1 re))) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 (log.f64 base) 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2)))) (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))))))))
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(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (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 im im) (*.f64 re re)))) (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))))
(neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.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) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.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) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.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) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))

prune322.0ms (5.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New3162318
Fresh178
Picked011
Done011
Total31711328
Error
0b
Counts
328 → 11
Alt Table
StatusErrorProgram
1.3b
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
28.5b
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
14.7b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
30.9b
(/.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)))
0.8b
(log.f64 (pow.f64 (hypot.f64 re im) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))))
0.8b
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) 1/3))
0.7b
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) 3))
16.8b
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
▶0.6b
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
✓0.3b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓0.6b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
Compiler

Compiled 10946 to 6520 computations (40.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3))
✓0.6b
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
✓0.8b
(pow.f64 (log.f64 (hypot.f64 re im)) 3)
✓0.8b
(pow.f64 (log.f64 base) 3)

series32.0ms (0.5%)

Counts
4 → 104
Calls

27 calls:

TimeVariablePointExpression
5.0ms
im
@inf
(/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3))
2.0ms
im
@inf
(pow.f64 (log.f64 (hypot.f64 re im)) 3)
2.0ms
re
@inf
(pow.f64 (log.f64 (hypot.f64 re im)) 3)
2.0ms
re
@inf
(/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3))
2.0ms
im
@-inf
(/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3))

rewrite64.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
557×log-prod_binary64
199×expm1-udef_binary64
199×log1p-udef_binary64
184×log-pow_binary64
116×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01243
125340
2288240
Stop Event
1×node limit
Counts
4 → 137
Calls
Call 1
Inputs
(pow.f64 (log.f64 base) 3)
(pow.f64 (log.f64 (hypot.f64 re im)) 3)
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log.f64 base) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) 3))) (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 base) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 3/2) (pow.f64 (log.f64 base) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 base)) 3) (pow.f64 (sqrt.f64 (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 base) 2) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log.f64 (hypot.f64 re im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3))) (cbrt.f64 (exp.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 (hypot.f64 re im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (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 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 (hypot.f64 re im)) 2)))))) (#(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))) (pow.f64 (log.f64 (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3/2) (pow.f64 (log.f64 (hypot.f64 re im)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 3) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 3) (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) 1) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (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 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (hypot.f64 re im)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (cbrt.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))))) (#(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)) (cbrt.f64 (pow.f64 (log.f64 base) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (pow.f64 (log.f64 base) -3) 1/3))))) (#(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 (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 1 1/3) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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re im)) (log.f64 base)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)))))))

simplify110.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
785×times-frac_binary64
730×fma-def_binary64
504×associate-/l*_binary64
213×+-commutative_binary64
201×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06007561
121296952
Stop Event
1×node limit
Counts
241 → 291
Calls
Call 1
Inputs
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (log.f64 im) 3)
(+.f64 (*.f64 (pow.f64 re 2) (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2))))) (pow.f64 (log.f64 im) 3))
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 im) (pow.f64 im 4))) (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 im 4))) (*.f64 -1/2 (/.f64 (log.f64 im) (pow.f64 im 4)))) (log.f64 im)))) (pow.f64 re 4)) (+.f64 (*.f64 (pow.f64 re 2) (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2))))) (pow.f64 (log.f64 im) 3)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 im) (pow.f64 im 4))) (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 im 4))) (*.f64 -1/2 (/.f64 (log.f64 im) (pow.f64 im 4)))) (log.f64 im)))) (pow.f64 re 4)) (+.f64 (*.f64 (pow.f64 re 2) (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2))))) (+.f64 (pow.f64 (log.f64 im) 3) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 (log.f64 im) (pow.f64 im 6))) (*.f64 1/4 (/.f64 1 (pow.f64 im 6)))) (log.f64 im)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 im 4))) (*.f64 -1/2 (/.f64 (log.f64 im) (pow.f64 im 4)))) (pow.f64 im 2))) (*.f64 -1/4 (/.f64 (log.f64 im) (pow.f64 im 6)))))) (pow.f64 re 6)))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 re)) 3))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 re)) 3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2))) (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4))) (*.f64 1/4 (pow.f64 im 4))) (log.f64 (/.f64 1 re))) (pow.f64 re 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 re)) 3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 4)) (pow.f64 re 4))) (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2)))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 im 6)) (*.f64 -1/360 (*.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (log.f64 (/.f64 1 re))))) (log.f64 (/.f64 1 re))) (pow.f64 re 6))) (+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 re)) 3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (pow.f64 (log.f64 (/.f64 1 re)) 2)) (pow.f64 re 6))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4))) (*.f64 1/4 (pow.f64 im 4))) (log.f64 (/.f64 1 re))) (pow.f64 re 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4))) (*.f64 1/4 (pow.f64 im 4))) (pow.f64 im 2)) (pow.f64 re 6))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 6)) (pow.f64 re 6))) (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2)))))))))))
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(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 re 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 re 4)) (*.f64 1/2 (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 re 4)))) (log.f64 (/.f64 -1 im))) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 (log.f64 base) 3))) (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))) (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 re 4)) (*.f64 1/2 (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 re 4)))) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6)))) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 (log.f64 base) 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 re 4)) (*.f64 1/2 (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 re 4)))) (log.f64 (/.f64 -1 im))) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 re 6)) (*.f64 -1/360 (*.f64 (log.f64 (/.f64 -1 im)) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6)))))) (log.f64 (/.f64 -1 im))) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 re 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 re 6)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))))))))))))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 base) 3))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
Outputs
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) 3))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3)
(pow.f64 (log.f64 im) 3)
(+.f64 (*.f64 (pow.f64 re 2) (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2))))) (pow.f64 (log.f64 im) 3))
(fma.f64 (*.f64 re re) (*.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 im im))) (pow.f64 (log.f64 im) 3))
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 im) (pow.f64 im 4))) (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 im 4))) (*.f64 -1/2 (/.f64 (log.f64 im) (pow.f64 im 4)))) (log.f64 im)))) (pow.f64 re 4)) (+.f64 (*.f64 (pow.f64 re 2) (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2))))) (pow.f64 (log.f64 im) 3)))
(fma.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4)) (fma.f64 1/2 (/.f64 (log.f64 im) (pow.f64 im 4)) (*.f64 (log.f64 im) (+.f64 (/.f64 1/4 (pow.f64 im 4)) (/.f64 (*.f64 -1/2 (log.f64 im)) (pow.f64 im 4)))))) (pow.f64 re 4) (fma.f64 (*.f64 re re) (*.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 im im))) (pow.f64 (log.f64 im) 3)))
(fma.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4)) (fma.f64 (log.f64 im) (fma.f64 (/.f64 (log.f64 im) (pow.f64 im 4)) -1/2 (/.f64 1/4 (pow.f64 im 4))) (/.f64 1/2 (/.f64 (pow.f64 im 4) (log.f64 im))))) (pow.f64 re 4) (fma.f64 (*.f64 re re) (*.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 im im))) (pow.f64 (log.f64 im) 3)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 im) (pow.f64 im 4))) (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 im 4))) (*.f64 -1/2 (/.f64 (log.f64 im) (pow.f64 im 4)))) (log.f64 im)))) (pow.f64 re 4)) (+.f64 (*.f64 (pow.f64 re 2) (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2))))) (+.f64 (pow.f64 (log.f64 im) 3) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 (log.f64 im) (pow.f64 im 6))) (*.f64 1/4 (/.f64 1 (pow.f64 im 6)))) (log.f64 im)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 im 4))) (*.f64 -1/2 (/.f64 (log.f64 im) (pow.f64 im 4)))) (pow.f64 im 2))) (*.f64 -1/4 (/.f64 (log.f64 im) (pow.f64 im 6)))))) (pow.f64 re 6)))))
(fma.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4)) (fma.f64 1/2 (/.f64 (log.f64 im) (pow.f64 im 4)) (*.f64 (log.f64 im) (+.f64 (/.f64 1/4 (pow.f64 im 4)) (/.f64 (*.f64 -1/2 (log.f64 im)) (pow.f64 im 4)))))) (pow.f64 re 4) (+.f64 (fma.f64 (*.f64 re re) (*.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 im im))) (pow.f64 (log.f64 im) 3)) (*.f64 (fma.f64 (-.f64 (*.f64 1/3 (/.f64 (log.f64 im) (pow.f64 im 6))) (/.f64 1/4 (pow.f64 im 6))) (log.f64 im) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6)) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/4 (pow.f64 im 4)) (/.f64 (*.f64 -1/2 (log.f64 im)) (pow.f64 im 4))) (*.f64 im im)) (*.f64 -1/4 (/.f64 (log.f64 im) (pow.f64 im 6)))))) (pow.f64 re 6))))
(fma.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4)) (fma.f64 (log.f64 im) (fma.f64 (/.f64 (log.f64 im) (pow.f64 im 4)) -1/2 (/.f64 1/4 (pow.f64 im 4))) (/.f64 1/2 (/.f64 (pow.f64 im 4) (log.f64 im))))) (pow.f64 re 4) (fma.f64 (*.f64 re re) (*.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 im im))) (fma.f64 (fma.f64 (log.f64 im) (fma.f64 1/3 (/.f64 (log.f64 im) (pow.f64 im 6)) (/.f64 -1/4 (pow.f64 im 6))) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6)) (fma.f64 1/2 (/.f64 (fma.f64 (/.f64 (log.f64 im) (pow.f64 im 4)) -1/2 (/.f64 1/4 (pow.f64 im 4))) (*.f64 im im)) (*.f64 -1/4 (/.f64 (log.f64 im) (pow.f64 im 6)))))) (pow.f64 re 6) (pow.f64 (log.f64 im) 3))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 re)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 re)) 3))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 re)) 3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2))) (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2))))
(fma.f64 -1 (pow.f64 (neg.f64 (log.f64 re)) 3) (*.f64 3/2 (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (/.f64 (*.f64 re re) (*.f64 im im)))))
(-.f64 (*.f64 3/2 (/.f64 (pow.f64 (log.f64 re) 2) (*.f64 (/.f64 re im) (/.f64 re im)))) (pow.f64 (neg.f64 (log.f64 re)) 3))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4))) (*.f64 1/4 (pow.f64 im 4))) (log.f64 (/.f64 1 re))) (pow.f64 re 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 re)) 3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 4)) (pow.f64 re 4))) (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2)))))))
(fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (pow.f64 im 4) (neg.f64 (log.f64 re))) (*.f64 (pow.f64 im 4) 1/4)) (/.f64 (pow.f64 re 4) (neg.f64 (log.f64 re)))) (fma.f64 -1/2 (/.f64 (neg.f64 (log.f64 re)) (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (fma.f64 -1 (pow.f64 (neg.f64 (log.f64 re)) 3) (fma.f64 1/2 (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (/.f64 (*.f64 re re) (*.f64 im im))) (fma.f64 -1/4 (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (/.f64 (*.f64 re re) (*.f64 im im))))))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (neg.f64 (log.f64 re)) (pow.f64 re 4)) (pow.f64 im 4)) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 re) 2) (*.f64 (/.f64 re im) (/.f64 re im))) (fma.f64 -1/4 (/.f64 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 re) 2)) (pow.f64 re 4)) (/.f64 (pow.f64 (log.f64 re) 2) (*.f64 (/.f64 re im) (/.f64 re im))))) (pow.f64 (neg.f64 (log.f64 re)) 3))) (/.f64 (*.f64 (pow.f64 im 4) (+.f64 (*.f64 1/2 (neg.f64 (log.f64 re))) 1/4)) (/.f64 (pow.f64 re 4) (neg.f64 (log.f64 re)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 im 6)) (*.f64 -1/360 (*.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (log.f64 (/.f64 1 re))))) (log.f64 (/.f64 1 re))) (pow.f64 re 6))) (+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 re)) 3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (pow.f64 (log.f64 (/.f64 1 re)) 2)) (pow.f64 re 6))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4))) (*.f64 1/4 (pow.f64 im 4))) (log.f64 (/.f64 1 re))) (pow.f64 re 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4))) (*.f64 1/4 (pow.f64 im 4))) (pow.f64 im 2)) (pow.f64 re 6))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 6)) (pow.f64 re 6))) (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2)))))))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/4 (pow.f64 im 6) (*.f64 -1/360 (*.f64 (neg.f64 (log.f64 re)) (*.f64 (pow.f64 im 6) 120)))) (/.f64 (pow.f64 re 6) (neg.f64 (log.f64 re)))) (fma.f64 -1 (pow.f64 (neg.f64 (log.f64 re)) 3) (fma.f64 1/2 (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (/.f64 (*.f64 re re) (*.f64 im im))) (fma.f64 1/720 (/.f64 (*.f64 (pow.f64 im 6) 120) (/.f64 (pow.f64 re 6) (pow.f64 (neg.f64 (log.f64 re)) 2))) (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (pow.f64 im 4) (neg.f64 (log.f64 re))) (*.f64 (pow.f64 im 4) 1/4)) (/.f64 (pow.f64 re 4) (neg.f64 (log.f64 re)))) (fma.f64 -1/2 (/.f64 (neg.f64 (log.f64 re)) (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (fma.f64 1/2 (/.f64 (fma.f64 1/2 (*.f64 (pow.f64 im 4) (neg.f64 (log.f64 re))) (*.f64 (pow.f64 im 4) 1/4)) (/.f64 (pow.f64 re 6) (*.f64 im im))) (fma.f64 -1/4 (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (fma.f64 1/4 (/.f64 (neg.f64 (log.f64 re)) (/.f64 (pow.f64 re 6) (pow.f64 im 6))) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (/.f64 (*.f64 re re) (*.f64 im im))))))))))))
(-.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 re) 2) (*.f64 (/.f64 re im) (/.f64 re im))) (fma.f64 1/720 (*.f64 (/.f64 (*.f64 (pow.f64 im 6) 120) (pow.f64 re 6)) (pow.f64 (log.f64 re) 2)) (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (neg.f64 (log.f64 re)) (pow.f64 re 4)) (pow.f64 im 4)) (fma.f64 1/2 (/.f64 (*.f64 im im) (/.f64 (pow.f64 re 6) (*.f64 (pow.f64 im 4) (+.f64 (*.f64 1/2 (neg.f64 (log.f64 re))) 1/4)))) (fma.f64 -1/4 (/.f64 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 re) 2)) (pow.f64 re 4)) (fma.f64 1/4 (*.f64 (/.f64 (neg.f64 (log.f64 re)) (pow.f64 re 6)) (pow.f64 im 6)) (/.f64 (pow.f64 (log.f64 re) 2) (*.f64 (/.f64 re im) (/.f64 re im))))))) (/.f64 (*.f64 (pow.f64 im 4) (+.f64 (*.f64 1/2 (neg.f64 (log.f64 re))) 1/4)) (/.f64 (pow.f64 re 4) (neg.f64 (log.f64 re))))))) (pow.f64 (neg.f64 (log.f64 re)) 3)) (*.f64 (/.f64 (fma.f64 -1/360 (*.f64 (neg.f64 (log.f64 re)) (*.f64 (pow.f64 im 6) 120)) (*.f64 -1/4 (pow.f64 im 6))) (pow.f64 re 6)) (neg.f64 (log.f64 re))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 -1 re)) 3))
(neg.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3))
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(*.f64 -1 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(neg.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 3) (pow.f64 (neg.f64 (log.f64 base)) 3)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 3)) (pow.f64 (neg.f64 (log.f64 base)) 3))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(neg.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 3) (pow.f64 (neg.f64 (log.f64 base)) 3)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 3)) (pow.f64 (neg.f64 (log.f64 base)) 3))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(neg.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 3) (pow.f64 (neg.f64 (log.f64 base)) 3)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 3)) (pow.f64 (neg.f64 (log.f64 base)) 3))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(neg.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 3) (pow.f64 (neg.f64 (log.f64 base)) 3)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 3)) (pow.f64 (neg.f64 (log.f64 base)) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 3) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 3) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 3) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 3) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3))

prune316.0ms (5.1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New2901291
Fresh178
Picked011
Done022
Total29111302
Error
0b
Counts
302 → 11
Alt Table
StatusErrorProgram
0.7b
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 (hypot.f64 re im)) 2))) (pow.f64 (log.f64 base) 3)))
✓0.3b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
14.7b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
30.9b
(/.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)))
0.8b
(log.f64 (pow.f64 (hypot.f64 re im) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))))
0.8b
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) 1/3))
0.7b
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) 3))
1.3b
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
16.8b
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
✓0.6b
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
✓0.6b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
Compiler

Compiled 12261 to 7823 computations (36.2% saved)

regimes252.0ms (4.1%)

Accuracy

Total -46.7b remaining (-13097.2%)

Threshold costs -46.7b (-13097.2%)

Counts
70 → 1
Compiler

Compiled 967 to 402 computations (58.4% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

end132.0ms (2.1%)

Stop Event
1×fuel
Remove

(sort re im)

Compiler

Compiled 210 to 100 computations (52.4% saved)

Profiling

Loading profile data...