Details

Time bar (total: 14.0s)

analyze486.0ms (3.5%)

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
Compiler

Compiled 32 to 21 computations (34.4% saved)

sample2.9s (20.4%)

Results
2.2s8256×body256valid
655.0ms2108×body256invalid

preprocess103.0ms (0.7%)

Algorithm
2×egg-herbie
Rules
723×cube-prod_binary64
628×fma-def_binary64
495×sqr-pow_binary64
393×associate-/l/_binary64
369×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05088
19284
210984
314256
419944
522444
664744
7241844
8401244
9440844
10537144
11663644
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 base) (log.f64 (hypot.f64 re im))) (*.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 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.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 base) (log.f64 (hypot.f64 re im))) (*.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 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.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 (log.f64 (hypot.f64 im base)) (log.f64 re)) (*.f64 (log.f64 re) (log.f64 re)))
(*.f64 (/.f64 (log.f64 (hypot.f64 im base)) (log.f64 re)) (/.f64 (log.f64 re) (log.f64 re)))
(*.f64 (/.f64 (log.f64 (hypot.f64 im base)) (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 1 (/.f64 (log.f64 (hypot.f64 re base)) (log.f64 im)))
(/.f64 (log.f64 (hypot.f64 re base)) (log.f64 im))
Symmetry

(sort re im)

Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify99.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
666×fma-def_binary64
535×associate-/l/_binary64
532×sqr-pow_binary64
531×cube-prod_binary64
519×cube-div_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01922
13121
23821
34914
46611
57511
622011
792211
8152811
9174511
10224211
11273311
12362411
13563611
14682211
15738211
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 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (/.f64 (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))

eval2.0ms (0%)

Compiler

Compiled 38 to 23 computations (39.5% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.3b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.3b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶29.2b
(/.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 41 to 27 computations (34.1% saved)

localize22.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 22 to 7 computations (68.2% saved)

series143.0ms (1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
89.0ms
base
@0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
23.0ms
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))
5.0ms
im
@0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
4.0ms
re
@0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

rewrite81.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
779×pow1_binary64
713×add-log-exp_binary64
713×log1p-expm1-u_binary64
713×expm1-log1p-u_binary64
697×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
115811
2194611
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 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 expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))))

simplify99.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
843×fma-neg_binary64
582×associate-/l/_binary64
527×div-sub_binary64
404×associate-/r/_binary64
368×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01141173
13041064
28841016
33630992
47764992
Stop Event
1×node limit
Counts
67 → 74
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)))))
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 (*.f64 1/2 (*.f64 re re)) (*.f64 (log.f64 base) (*.f64 im im))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 1/2 (/.f64 re (/.f64 (*.f64 im (log.f64 base)) (/.f64 re im))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 (/.f64 re im) im)) (/.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 (/.f64 (pow.f64 re 4) (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))))))
(fma.f64 1/2 (/.f64 re (/.f64 (*.f64 im (log.f64 base)) (/.f64 re im))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 (*.f64 (/.f64 re (log.f64 base)) (/.f64 (/.f64 re im) im)) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im)))))
(+.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 (/.f64 (pow.f64 re 6) (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 (/.f64 (pow.f64 re 4) (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 re) (*.f64 (log.f64 base) (*.f64 im im))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (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 re (/.f64 (*.f64 im (log.f64 base)) (/.f64 re im))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 im) (log.f64 base)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 base)) (pow.f64 im 6)) (*.f64 (*.f64 (/.f64 re (log.f64 base)) (/.f64 (/.f64 re im) im)) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (*.f64 -1 (/.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 (*.f64 1/2 (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re))))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 1/2 (*.f64 (/.f64 im re) (/.f64 im (*.f64 (log.f64 base) re))) (/.f64 (log.f64 re) (log.f64 base)))
(fma.f64 1/2 (*.f64 (/.f64 im (*.f64 (log.f64 base) (*.f64 re re))) im) (/.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 (*.f64 1/2 (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re)))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (*.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 1/2 (*.f64 (/.f64 im re) (/.f64 im (*.f64 (log.f64 base) 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 (log.f64 re) (log.f64 base)) (*.f64 (*.f64 (/.f64 im (*.f64 (log.f64 base) (*.f64 re re))) im) (+.f64 1/2 (/.f64 (*.f64 (*.f64 im im) -1/4) (*.f64 re re)))))
(+.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 (*.f64 1/720 (*.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 (pow.f64 im 6) (log.f64 base)) (/.f64 120 (pow.f64 re 6))))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (fma.f64 1/2 (*.f64 (/.f64 im re) (/.f64 im (*.f64 (log.f64 base) re))) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (*.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (/.f64 1/6 (pow.f64 re 6))))))
(+.f64 (*.f64 (*.f64 (/.f64 im (*.f64 (log.f64 base) (*.f64 re re))) im) (+.f64 1/2 (/.f64 (*.f64 (*.f64 im im) -1/4) (*.f64 re re)))) (fma.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))) (/.f64 (log.f64 re) (log.f64 base))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(/.f64 (-.f64 (log.f64 re) (log.f64 -1)) (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 (*.f64 1/2 (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re))))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 im re) (/.f64 im (*.f64 (log.f64 base) re)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (*.f64 (/.f64 1/2 (*.f64 (log.f64 base) (*.f64 re re))) (*.f64 im im)) (/.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 (*.f64 1/2 (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re)))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (*.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 im re) (/.f64 im (*.f64 (log.f64 base) re))) (*.f64 (/.f64 (pow.f64 im 4) (log.f64 base)) (/.f64 -1/4 (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (*.f64 (*.f64 (/.f64 im (*.f64 (log.f64 base) (*.f64 re re))) im) (+.f64 1/2 (/.f64 (*.f64 (*.f64 im im) -1/4) (*.f64 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 (*.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 (*.f64 1/720 (*.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 (pow.f64 im 6) (log.f64 base)) (/.f64 120 (pow.f64 re 6))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 im re) (/.f64 im (*.f64 (log.f64 base) re))) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (*.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (/.f64 1/6 (pow.f64 re 6))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))) (*.f64 (*.f64 (/.f64 im (*.f64 (log.f64 base) (*.f64 re re))) im) (+.f64 1/2 (/.f64 (*.f64 (*.f64 im im) -1/4) (*.f64 re re))))) (/.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 (*.f64 1/2 (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re))))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 1/2 (*.f64 (/.f64 im re) (/.f64 im (*.f64 (log.f64 base) re))) (/.f64 (log.f64 re) (log.f64 base)))
(fma.f64 1/2 (*.f64 (/.f64 im (*.f64 (log.f64 base) (*.f64 re re))) im) (/.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 (*.f64 1/2 (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re)))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (*.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 1/2 (*.f64 (/.f64 im re) (/.f64 im (*.f64 (log.f64 base) 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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(+.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)))))))
(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 (*.f64 1/720 (*.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 (pow.f64 im 6) (log.f64 base)) (/.f64 120 (pow.f64 re 6))))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (fma.f64 1/2 (*.f64 (/.f64 im re) (/.f64 im (*.f64 (log.f64 base) re))) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (*.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (/.f64 1/6 (pow.f64 re 6))))))
(+.f64 (*.f64 (*.f64 (/.f64 im (*.f64 (log.f64 base) (*.f64 re re))) im) (+.f64 1/2 (/.f64 (*.f64 (*.f64 im im) -1/4) (*.f64 re re)))) (fma.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))) (/.f64 (log.f64 re) (log.f64 base))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
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(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 1/2 (/.f64 re (/.f64 (*.f64 im (log.f64 base)) (/.f64 re im))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 (/.f64 re im) im)) (/.f64 (log.f64 im) (log.f64 base)))
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(fma.f64 1/2 (/.f64 re (/.f64 (*.f64 im (log.f64 base)) (/.f64 re im))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 (*.f64 (/.f64 re (log.f64 base)) (/.f64 (/.f64 re im) im)) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im)))))
(+.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 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (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 (/.f64 (pow.f64 re 4) (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 re) (*.f64 (log.f64 base) (*.f64 im im))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (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 re (/.f64 (*.f64 im (log.f64 base)) (/.f64 re im))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 im) (log.f64 base)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 base)) (pow.f64 im 6)) (*.f64 (*.f64 (/.f64 re (log.f64 base)) (/.f64 (/.f64 re im) im)) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 base))
(/.f64 (-.f64 (log.f64 im) (log.f64 -1)) (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))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 re (/.f64 (*.f64 im (log.f64 base)) (/.f64 re im)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 (/.f64 re im) im)) (/.f64 (-.f64 (log.f64 im) (log.f64 -1)) (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)))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 im 4)) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (fma.f64 1/2 (/.f64 re (/.f64 (*.f64 im (log.f64 base)) (/.f64 re im))) (/.f64 (/.f64 (pow.f64 re 4) (/.f64 (pow.f64 im 4) -1/4)) (log.f64 base))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (*.f64 (*.f64 (/.f64 re (log.f64 base)) (/.f64 (/.f64 re im) im)) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/720 (/.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))))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (fma.f64 1/720 (/.f64 (/.f64 (*.f64 (pow.f64 re 6) 120) (log.f64 base)) (pow.f64 im 6)) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 im 4)) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (/.f64 (*.f64 1/720 (*.f64 (pow.f64 re 6) 120)) (log.f64 base)) (pow.f64 im 6))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (/.f64 re (/.f64 (*.f64 im (log.f64 base)) (/.f64 re im))) (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (log.f64 base)) (/.f64 (/.f64 (pow.f64 re 4) (/.f64 (pow.f64 im 4) -1/4)) (log.f64 base)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 base)) (pow.f64 im 6)) (*.f64 (*.f64 (/.f64 re (log.f64 base)) (/.f64 (/.f64 re im) im)) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))

localize60.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(/.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)))
✓0.4b
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
✓0.5b
(*.f64 (log.f64 base) (log.f64 base))
✓26.9b
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Compiler

Compiled 122 to 33 computations (73% saved)

series36.0ms (0.3%)

Counts
4 → 108
Calls

27 calls:

TimeVariablePointExpression
12.0ms
base
@0
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
2.0ms
re
@inf
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
2.0ms
base
@inf
(/.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)))
1.0ms
re
@0
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
1.0ms
im
@inf
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))

rewrite98.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
699×log-prod_binary64
597×prod-diff_binary64
321×fma-def_binary64
249×expm1-udef_binary64
249×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01941
139840
2485540
Stop Event
1×node limit
Counts
4 → 179
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))) (cbrt.f64 (exp.f64 (hypot.f64 re im))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im)))))))) (#(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 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (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 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) 2) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 re 4) (pow.f64 im 4))) (sqrt.f64 (-.f64 (*.f64 re re) (*.f64 im im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 (pow.f64 re 3) (pow.f64 im 3)) (sqrt.f64 (-.f64 (+.f64 (pow.f64 re 4) (pow.f64 im 4)) (pow.f64 (*.f64 re im) 2))))))) (#(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 (hypot.f64 re im) 1)))) (#(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 (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 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 fabs.f64 (hypot.f64 re im))))) (#(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 hypot.f64 re im)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 im re)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 exp.f64 (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 re im))) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log.f64 base) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 base (log.f64 base))) (cbrt.f64 (pow.f64 base (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 base (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))) (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (log.f64 base) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (log.f64 base) 2) (/.f64 0 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (log.f64 base) 4) (pow.f64 (log.f64 base) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (log.f64 base) 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simplify78.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
846×associate-/r*_binary64
692×associate-/l*_binary64
583×associate-*r*_binary64
531×associate-*l*_binary64
376×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02313006
17032758
221452674
Stop Event
1×node limit
Counts
287 → 301
Calls
Call 1
Inputs
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))))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(*.f64 (log.f64 base) (log.f64 im))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 (log.f64 base) (log.f64 im)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 (log.f64 base) (log.f64 im))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (+.f64 (*.f64 (log.f64 base) (log.f64 im)) (*.f64 1/6 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (pow.f64 im 6))))))
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6)))) (pow.f64 re 6))))))
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4)))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6)))) (pow.f64 re 6))))))
(*.f64 (log.f64 base) (log.f64 re))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (*.f64 (log.f64 base) (log.f64 re)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (*.f64 (log.f64 base) (log.f64 re))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (*.f64 (log.f64 base) (log.f64 re)) (*.f64 1/6 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 re 6))))))
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2)))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6)))) (pow.f64 im 6))))))
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2)))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6)))) (pow.f64 im 6))))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 -1 (*.f64 (log.f64 (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 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.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)))))
Outputs
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(fma.f64 1/2 (/.f64 (*.f64 re re) im) im)
(fma.f64 1/2 (/.f64 re (/.f64 im re)) im)
(fma.f64 1/2 (*.f64 (/.f64 re 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)) im))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 (*.f64 re re) im) im))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 re (/.f64 im re)) im))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (*.f64 (/.f64 re 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)))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (*.f64 (/.f64 re im) re) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(fma.f64 1/2 (/.f64 (*.f64 im im) re) re)
(fma.f64 1/2 (/.f64 im (/.f64 re im)) 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 (fma.f64 1/2 (/.f64 (*.f64 im im) re) re) (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))
(fma.f64 1/2 (/.f64 im (/.f64 re im)) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re))
(+.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))))))
(fma.f64 1/2 (/.f64 (*.f64 im im) re) (fma.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))))))
(fma.f64 1/2 (/.f64 im (/.f64 re im)) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re)))
(*.f64 -1 re)
(neg.f64 re)
(+.f64 (*.f64 -1 re) (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)))
(fma.f64 -1 re (*.f64 (/.f64 (*.f64 im im) re) -1/2))
(fma.f64 (/.f64 im (/.f64 re im)) -1/2 (neg.f64 re))
(-.f64 (/.f64 (*.f64 im im) (/.f64 re -1/2)) 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))))
(fma.f64 -1 re (fma.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) (*.f64 (/.f64 (*.f64 im im) re) -1/2)))
(-.f64 (fma.f64 (/.f64 im (/.f64 re im)) -1/2 (*.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 1/8)) re)
(-.f64 (fma.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 1/8 (/.f64 (*.f64 im im) (/.f64 re -1/2))) 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)))))
(fma.f64 -1 re (fma.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) (fma.f64 -1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (*.f64 (/.f64 (*.f64 im im) re) -1/2))))
(-.f64 (fma.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 1/8 (fma.f64 (/.f64 im (/.f64 re im)) -1/2 (*.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) -1/16))) re)
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(fma.f64 1/2 (/.f64 (*.f64 im im) re) re)
(fma.f64 1/2 (/.f64 im (/.f64 re im)) 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 (fma.f64 1/2 (/.f64 (*.f64 im im) re) re) (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))
(fma.f64 1/2 (/.f64 im (/.f64 re im)) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re))
(+.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))))))
(fma.f64 1/2 (/.f64 (*.f64 im im) re) (fma.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))))))
(fma.f64 1/2 (/.f64 im (/.f64 re im)) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re)))
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(fma.f64 1/2 (/.f64 (*.f64 re re) im) im)
(fma.f64 1/2 (/.f64 re (/.f64 im re)) im)
(fma.f64 1/2 (*.f64 (/.f64 re 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)) im))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 (*.f64 re re) im) im))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 re (/.f64 im re)) im))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (*.f64 (/.f64 re 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)))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (*.f64 (/.f64 re im) re) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(*.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))
(-.f64 (/.f64 (*.f64 (*.f64 re re) -1/2) im) im)
(-.f64 (*.f64 (/.f64 -1/2 im) (*.f64 re 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 -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 (-.f64 (/.f64 (*.f64 (*.f64 re re) -1/2) im) im))
(fma.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) 1/8 (-.f64 (*.f64 (/.f64 -1/2 im) (*.f64 re re)) 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 (-.f64 (/.f64 (*.f64 (*.f64 re re) -1/2) im) 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 (-.f64 (*.f64 (/.f64 -1/2 im) (*.f64 re re)) im)))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2)
(*.f64 (log.f64 base) (log.f64 im))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 (log.f64 base) (log.f64 im)))
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 re re) (log.f64 base)) (*.f64 im im)) (*.f64 (log.f64 base) (log.f64 im)))
(fma.f64 1/2 (/.f64 (*.f64 re re) (/.f64 (*.f64 im im) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 im)))
(fma.f64 (log.f64 base) (log.f64 im) (*.f64 (/.f64 (log.f64 base) (*.f64 im im)) (*.f64 (*.f64 1/2 re) re)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 (log.f64 base) (log.f64 im))))
(fma.f64 -1/4 (/.f64 (*.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 im 4)) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 re re) (log.f64 base)) (*.f64 im im)) (*.f64 (log.f64 base) (log.f64 im))))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 base))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (*.f64 im im) (log.f64 base))) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (/.f64 1/2 (*.f64 (/.f64 (log.f64 base) (*.f64 re re)) (*.f64 im im))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (/.f64 1/2 (/.f64 (/.f64 (log.f64 base) (/.f64 re (*.f64 im im))) re)) (/.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)))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (*.f64 im im) (log.f64 base))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 im 4)) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))) (*.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) (/.f64 1/2 (/.f64 (/.f64 (log.f64 base) (/.f64 re (*.f64 im im))) re))) (/.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))))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (*.f64 im im) (log.f64 base))) (fma.f64 1/720 (/.f64 (*.f64 (pow.f64 re 6) 120) (*.f64 (pow.f64 im 6) (log.f64 base))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 im 4)) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))) (-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (pow.f64 im 4) (log.f64 base))) (/.f64 (*.f64 (/.f64 (pow.f64 re 6) (/.f64 (log.f64 base) 120)) 1/720) (pow.f64 im 6))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (pow.f64 im 6) (log.f64 base))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) (/.f64 1/2 (/.f64 (/.f64 (log.f64 base) (/.f64 re (*.f64 im im))) re)))) (/.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))))

eval235.0ms (1.7%)

Compiler

Compiled 10922 to 5183 computations (52.5% saved)

prune156.0ms (1.1%)

Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New35124375
Fresh000
Picked101
Done011
Total35225377
Error
0.0b
Counts
377 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
0.7b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
▶0.4b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
0.7b
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
30.2b
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
▶0.4b
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
0.4b
(neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (neg.f64 (pow.f64 (log.f64 base) 2))))
▶31.3b
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
▶0.6b
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1)
1.4b
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
▶30.2b
(/.f64 (log.f64 im) (log.f64 base))
1.4b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) (*.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 base) -2)))
31.3b
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
✓0.3b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
0.7b
(-.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
0.5b
(*.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) 6)) (pow.f64 (log.f64 base) 4))
31.3b
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
32.1b
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
31.6b
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
14.6b
(expm1.f64 (log1p.f64 (/.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)))
35.3b
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 (*.f64 (/.f64 re (log.f64 base)) (/.f64 (/.f64 re im) im)) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im)))))
0.5b
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
0.7b
(/.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
31.6b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
1.0b
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
Compiler

Compiled 790 to 549 computations (30.5% saved)

localize28.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 29 to 12 computations (58.6% saved)

series10.0ms (0.1%)

Counts
2 → 44
Calls

12 calls:

TimeVariablePointExpression
1.0ms
base
@-inf
(/.f64 1 (log.f64 base))
1.0ms
base
@inf
(/.f64 1 (log.f64 base))
1.0ms
base
@0
(/.f64 1 (log.f64 base))
1.0ms
im
@-inf
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
1.0ms
re
@-inf
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))

rewrite98.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
853×pow1_binary64
779×add-log-exp_binary64
779×log1p-expm1-u_binary64
779×expm1-log1p-u_binary64
762×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
119217
2220517
Stop Event
1×node limit
Counts
2 → 44
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(/.f64 1 (log.f64 base))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (hypot.f64 re im)) -1) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (log.f64 base))))))))

simplify109.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
843×fma-neg_binary64
578×associate-/l/_binary64
527×div-sub_binary64
406×associate-/r/_binary64
368×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01161237
13061128
28861064
336241040
477601040
Stop Event
1×node limit
Counts
88 → 89
Calls
Call 1
Inputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.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 (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 -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
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (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)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (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)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.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 re re)) (*.f64 (*.f64 im im) (log.f64 base))))
(fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (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 (*.f64 im im) (log.f64 base))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (/.f64 (*.f64 (*.f64 re re) 1/2) (*.f64 im im)) (log.f64 base))))
(fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im)))))
(+.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 (*.f64 im im) (log.f64 base))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (/.f64 (*.f64 (*.f64 re re) 1/2) (*.f64 im 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 (*.f64 im im)) (/.f64 re (log.f64 base))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 im) (log.f64 base)))))
(+.f64 (*.f64 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im)))) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (/.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 (*.f64 1/2 (*.f64 im im)) (*.f64 (*.f64 re re) (log.f64 base))))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base))) (/.f64 (log.f64 re) (log.f64 base)))
(fma.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re)) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (*.f64 -1/4 (/.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 (/.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 re 4)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (/.f64 (*.f64 1/2 (*.f64 im im)) (*.f64 (*.f64 re re) (log.f64 base)))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (*.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (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 (*.f64 re re)) (/.f64 im (log.f64 base))) (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 (/.f64 (*.f64 im im) (log.f64 base)) (+.f64 (/.f64 (/.f64 1/2 re) re) (*.f64 -1/4 (*.f64 (/.f64 im (pow.f64 re 4)) im)))))
(+.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 (/.f64 (pow.f64 im 4) (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 (*.f64 re re) (log.f64 base))) (*.f64 1/720 (/.f64 (/.f64 (*.f64 (pow.f64 im 6) 120) (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 (*.f64 re re)) (/.f64 im (log.f64 base))) (*.f64 1/720 (/.f64 (/.f64 (pow.f64 im 6) (/.f64 (log.f64 base) 120)) (pow.f64 re 6)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (fma.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base))) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (/.f64 (pow.f64 im 6) (/.f64 (pow.f64 re 6) 1/6)) (log.f64 base)))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (fma.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))) (*.f64 (/.f64 (*.f64 im im) (log.f64 base)) (+.f64 (/.f64 (/.f64 1/2 re) re) (*.f64 -1/4 (*.f64 (/.f64 im (pow.f64 re 4)) im))))))
(*.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 (log.f64 re) (log.f64 -1)) (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 (*.f64 1/2 (*.f64 im im)) (*.f64 (*.f64 re re) (log.f64 base))))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (*.f64 -1/4 (/.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 (/.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 re 4)) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (/.f64 (*.f64 1/2 (*.f64 im im)) (*.f64 (*.f64 re re) (log.f64 base)))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (*.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (*.f64 (/.f64 (*.f64 im im) (log.f64 base)) (+.f64 (/.f64 (/.f64 1/2 re) re) (*.f64 -1/4 (*.f64 (/.f64 im (pow.f64 re 4)) im)))) (/.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 (/.f64 (pow.f64 im 4) (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 (*.f64 re re) (log.f64 base))) (*.f64 1/720 (/.f64 (/.f64 (*.f64 (pow.f64 im 6) 120) (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 (*.f64 re re)) (/.f64 im (log.f64 base))) (*.f64 1/720 (/.f64 (/.f64 (pow.f64 im 6) (/.f64 (log.f64 base) 120)) (pow.f64 re 6)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base))) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (/.f64 (pow.f64 im 6) (/.f64 (pow.f64 re 6) 1/6)) (log.f64 base)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))) (*.f64 (/.f64 (*.f64 im im) (log.f64 base)) (+.f64 (/.f64 (/.f64 1/2 re) re) (*.f64 -1/4 (*.f64 (/.f64 im (pow.f64 re 4)) im))))) (/.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 (*.f64 1/2 (*.f64 im im)) (*.f64 (*.f64 re re) (log.f64 base))))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base))) (/.f64 (log.f64 re) (log.f64 base)))
(fma.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re)) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (/.f64 (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 (/.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 re 4)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (/.f64 (*.f64 1/2 (*.f64 im im)) (*.f64 (*.f64 re re) (log.f64 base)))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (*.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (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 (*.f64 re re)) (/.f64 im (log.f64 base))) (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 (/.f64 (*.f64 im im) (log.f64 base)) (+.f64 (/.f64 (/.f64 1/2 re) re) (*.f64 -1/4 (*.f64 (/.f64 im (pow.f64 re 4)) im)))))
(+.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)))))))
(fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (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 (*.f64 re re) (log.f64 base))) (*.f64 1/720 (/.f64 (/.f64 (*.f64 (pow.f64 im 6) 120) (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 (*.f64 re re)) (/.f64 im (log.f64 base))) (*.f64 1/720 (/.f64 (/.f64 (pow.f64 im 6) (/.f64 (log.f64 base) 120)) (pow.f64 re 6)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (fma.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base))) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (/.f64 (pow.f64 im 6) (/.f64 (pow.f64 re 6) 1/6)) (log.f64 base)))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (fma.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))) (*.f64 (/.f64 (*.f64 im im) (log.f64 base)) (+.f64 (/.f64 (/.f64 1/2 re) re) (*.f64 -1/4 (*.f64 (/.f64 im (pow.f64 re 4)) im))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 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 (log.f64 im) (log.f64 base)) (/.f64 (*.f64 1/2 (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 base))))
(fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(+.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 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (*.f64 im im) (log.f64 base))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (/.f64 (*.f64 (*.f64 re re) 1/2) (*.f64 im im)) (log.f64 base))))
(fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im)))))
(+.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 (/.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 (*.f64 im im) (log.f64 base))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (/.f64 (*.f64 (*.f64 re re) 1/2) (*.f64 im 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 (*.f64 im im)) (/.f64 re (log.f64 base))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 im) (log.f64 base)))))
(+.f64 (*.f64 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im)))) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 base))
(/.f64 (-.f64 (log.f64 im) (log.f64 -1)) (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))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (*.f64 im im) (log.f64 base))) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 re re) 1/2) (*.f64 im im)) (log.f64 base)) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (/.f64 (/.f64 (*.f64 re re) (/.f64 (*.f64 im im) 1/2)) (log.f64 base)) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (*.f64 (/.f64 (*.f64 re 1/2) (log.f64 base)) (/.f64 re (*.f64 im im))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (*.f64 im im) (log.f64 base))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (/.f64 (*.f64 (*.f64 re re) 1/2) (*.f64 im im)) (log.f64 base))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (*.f64 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/720 (/.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))))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (*.f64 im im) (log.f64 base))) (fma.f64 1/720 (/.f64 (*.f64 (pow.f64 re 6) 120) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (fma.f64 1/720 (*.f64 (/.f64 (pow.f64 re 6) (log.f64 base)) (/.f64 120 (pow.f64 im 6))) (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (/.f64 (*.f64 1/6 (pow.f64 re 6)) (log.f64 base)) (pow.f64 im 6)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (*.f64 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (log.f64 im) (log.f64 base))
Compiler

Compiled 14 to 6 computations (57.1% saved)

series114.0ms (0.8%)

Counts
1 → 16
Calls

6 calls:

TimeVariablePointExpression
64.0ms
im
@0
(/.f64 (log.f64 im) (log.f64 base))
21.0ms
base
@0
(/.f64 (log.f64 im) (log.f64 base))
14.0ms
im
@-inf
(/.f64 (log.f64 im) (log.f64 base))
12.0ms
im
@inf
(/.f64 (log.f64 im) (log.f64 base))
1.0ms
base
@-inf
(/.f64 (log.f64 im) (log.f64 base))

rewrite71.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
596×pow1_binary64
548×add-log-exp_binary64
548×log1p-expm1-u_binary64
548×expm1-log1p-u_binary64
536×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11188
214858
Stop Event
1×node limit
Counts
1 → 30
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 im) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (*.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 im)) (*.f64 (sqrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 im)) (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (log.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 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 im) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))))))

simplify134.0ms (1%)

Algorithm
1×egg-herbie
Rules
1224×div-sub_binary64
332×sub-neg_binary64
308×associate-/r*_binary64
281×distribute-rgt-in_binary64
261×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026192
150192
278128
3167128
4446128
51520128
64798128
75963128
86498128
96764128
106941128
117046128
Stop Event
1×node limit
Counts
46 → 35
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
Outputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))

localize25.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 32 to 10 computations (68.8% saved)

series74.0ms (0.5%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
27.0ms
re
@inf
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
7.0ms
re
@inf
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
5.0ms
im
@inf
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
4.0ms
im
@0
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
3.0ms
im
@-inf
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)

rewrite119.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
935×pow1_binary64
861×add-log-exp_binary64
861×log1p-expm1-u_binary64
861×expm1-log1p-u_binary64
841×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01025
120022
2240622
Stop Event
1×node limit
Counts
2 → 71
Calls
Call 1
Inputs
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 1 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 base)) (/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (/.f64 (cbrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 base)) 1) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1) (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (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 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))))

simplify208.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
367×fma-def_binary64
348×times-frac_binary64
340×associate-/r*_binary64
309×associate-/l*_binary64
295×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04426101
114595732
261735700
Stop Event
1×node limit
Counts
143 → 169
Calls
Call 1
Inputs
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 im))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (/.f64 (log.f64 base) (log.f64 im)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4))) (/.f64 (log.f64 base) (log.f64 im))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6)))) (+.f64 (*.f64 1/8 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6)))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (*.f64 (log.f64 im) (pow.f64 im 2)))))) (pow.f64 re 6))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4))) (/.f64 (log.f64 base) (log.f64 im)))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 re 4))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 re 4))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6)))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 im 2)) (log.f64 (/.f64 1 re)))))) (pow.f64 re 6))))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (pow.f64 re 4))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 (log.f64 (/.f64 -1 re)) 3))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6)))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (pow.f64 im 2)) (log.f64 (/.f64 -1 re)))))) (pow.f64 re 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (pow.f64 re 4))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))))))
(/.f64 (log.f64 base) (log.f64 re))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 2)))) (/.f64 (log.f64 base) (log.f64 re)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 4))))) (pow.f64 im 4))) (/.f64 (log.f64 base) (log.f64 re))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 6)))) (+.f64 (*.f64 1/8 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 6)))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 4))))) (*.f64 (log.f64 re) (pow.f64 re 2)))))) (pow.f64 im 6))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 4))))) (pow.f64 im 4))) (/.f64 (log.f64 base) (log.f64 re)))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 3)))) (pow.f64 im 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 3)))) (pow.f64 im 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 2)))) (pow.f64 re 2)) (log.f64 (/.f64 1 im)))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6)))) (pow.f64 (log.f64 (/.f64 1 im)) 2))) (*.f64 -1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (pow.f64 (log.f64 (/.f64 1 im)) 3))))) (pow.f64 im 6))))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))
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(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 2)))) (pow.f64 re 2)) (log.f64 (/.f64 1 im)))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6)))) (pow.f64 (log.f64 (/.f64 1 im)) 2))) (*.f64 -1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (pow.f64 (log.f64 (/.f64 1 im)) 3))))) (pow.f64 (log.f64 (/.f64 1 im)) 2)) (pow.f64 (log.f64 base) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 2)))) (pow.f64 (log.f64 (/.f64 1 im)) 2)) (pow.f64 (log.f64 base) 2))) (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))))) (pow.f64 re 2)) (log.f64 (/.f64 1 im)))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 2)))) (*.f64 (pow.f64 re 2) (log.f64 (/.f64 1 im)))) (pow.f64 (log.f64 base) 2))))) (pow.f64 im 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 2)))) (pow.f64 (log.f64 (/.f64 1 im)) 2)) (pow.f64 (log.f64 base) 2))) (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))))) (pow.f64 im 4))) (*.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 -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 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (pow.f64 (log.f64 base) 2)))) (pow.f64 im 4))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (pow.f64 (log.f64 base) 2)))) (pow.f64 re 2)) (log.f64 (/.f64 -1 im)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (log.f64 (/.f64 -1 im)))) (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6)))) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))))) (pow.f64 (log.f64 base) 2))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 (/.f64 -1 im)) (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))))) (pow.f64 (log.f64 base) 2))))) (pow.f64 im 6))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (pow.f64 (log.f64 base) 2)))) (pow.f64 im 4))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
Outputs
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (hypot.f64 re im)))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (hypot.f64 re im)))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (hypot.f64 re im)))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (hypot.f64 re im)))
(/.f64 (log.f64 base) (log.f64 im))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (/.f64 (log.f64 base) (log.f64 im)))
(fma.f64 -1/2 (/.f64 (/.f64 (*.f64 (log.f64 base) (*.f64 re re)) (pow.f64 (log.f64 im) 2)) (*.f64 im im)) (/.f64 (log.f64 base) (log.f64 im)))
(fma.f64 -1/2 (/.f64 (/.f64 (*.f64 (log.f64 base) (*.f64 re re)) (*.f64 im im)) (pow.f64 (log.f64 im) 2)) (/.f64 (log.f64 base) (log.f64 im)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4))) (/.f64 (log.f64 base) (log.f64 im))))
(fma.f64 -1/2 (/.f64 (/.f64 (*.f64 (log.f64 base) (*.f64 re re)) (pow.f64 (log.f64 im) 2)) (*.f64 im im)) (fma.f64 -1 (*.f64 (*.f64 -1/4 (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 3)) (pow.f64 im 4)) (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4)) (/.f64 (log.f64 base) (log.f64 im))))
(fma.f64 -1/2 (/.f64 (/.f64 (*.f64 (log.f64 base) (*.f64 re re)) (*.f64 im im)) (pow.f64 (log.f64 im) 2)) (fma.f64 (*.f64 1/4 (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 3)) (pow.f64 im 4)) (/.f64 (/.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 im) 2)))) (pow.f64 re 4) (/.f64 (log.f64 base) (log.f64 im))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6)))) (+.f64 (*.f64 1/8 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6)))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (*.f64 (log.f64 im) (pow.f64 im 2)))))) (pow.f64 re 6))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4))) (/.f64 (log.f64 base) (log.f64 im)))))
(fma.f64 -1 (*.f64 (fma.f64 1/6 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6))) (fma.f64 1/8 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6))) (/.f64 (*.f64 -1/2 (*.f64 -1/4 (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 3)) (pow.f64 im 4)) (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4)))))) (*.f64 (*.f64 im im) (log.f64 im))))) (pow.f64 re 6)) (fma.f64 -1/2 (/.f64 (/.f64 (*.f64 (log.f64 base) (*.f64 re re)) (pow.f64 (log.f64 im) 2)) (*.f64 im im)) (fma.f64 -1 (*.f64 (*.f64 -1/4 (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 3)) (pow.f64 im 4)) (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4)) (/.f64 (log.f64 base) (log.f64 im)))))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 (*.f64 (log.f64 base) (*.f64 re re)) (*.f64 im im)) (pow.f64 (log.f64 im) 2)) (fma.f64 (*.f64 1/4 (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 3)) (pow.f64 im 4)) (/.f64 (/.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 im) 2)))) (pow.f64 re 4) (/.f64 (log.f64 base) (log.f64 im)))) (*.f64 (fma.f64 1/6 (/.f64 (/.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 (log.f64 im) 2)) (fma.f64 1/8 (/.f64 (/.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 (log.f64 im) 3)) (/.f64 (*.f64 1/8 (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 3)) (pow.f64 im 4)) (/.f64 (/.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 im) 2)))) (*.f64 (*.f64 im im) (log.f64 im))))) (pow.f64 re 6)))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re))))
(neg.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 re))))
(/.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 re)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))))
(fma.f64 -1 (/.f64 (log.f64 base) (neg.f64 (log.f64 re))) (*.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (*.f64 re re)) (/.f64 (*.f64 im im) (pow.f64 (neg.f64 (log.f64 re)) 2)))))
(-.f64 (*.f64 -1/2 (/.f64 (/.f64 (*.f64 im im) (/.f64 (*.f64 re re) (log.f64 base))) (pow.f64 (log.f64 re) 2))) (/.f64 (log.f64 base) (neg.f64 (log.f64 re))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 re 4))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2))))))
(fma.f64 -1 (/.f64 (fma.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (neg.f64 (log.f64 re)) 3)) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (neg.f64 (log.f64 re)) 2)))) (pow.f64 re 4)) (fma.f64 -1 (/.f64 (log.f64 base) (neg.f64 (log.f64 re))) (*.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (*.f64 re re)) (/.f64 (*.f64 im im) (pow.f64 (neg.f64 (log.f64 re)) 2))))))
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(-.f64 (-.f64 (fma.f64 1/2 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))) (/.f64 (-.f64 (*.f64 (/.f64 1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (neg.f64 (log.f64 im)))) (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (pow.f64 re 4)) (/.f64 1/4 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (*.f64 (log.f64 base) (pow.f64 re 4))))) (pow.f64 (log.f64 base) 2)) (pow.f64 (log.f64 im) 2))) (pow.f64 im 4))) (/.f64 (-.f64 (fma.f64 1/2 (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (pow.f64 re 4)) (/.f64 1/4 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (*.f64 (log.f64 base) (pow.f64 re 4))))) (pow.f64 (log.f64 base) 2)) (neg.f64 (*.f64 (log.f64 im) (*.f64 re re)))) (/.f64 -1/2 (/.f64 (neg.f64 (log.f64 im)) (*.f64 re (*.f64 re (-.f64 (*.f64 (/.f64 1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (neg.f64 (log.f64 im)))) (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (pow.f64 re 4)) (/.f64 1/4 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (*.f64 (log.f64 base) (pow.f64 re 4))))) (pow.f64 (log.f64 base) 2)) (pow.f64 (log.f64 im) 2)))))))) (/.f64 (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (pow.f64 re 4)) (/.f64 1/4 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (*.f64 (log.f64 base) (pow.f64 re 4))))) (/.f64 (neg.f64 (log.f64 im)) (*.f64 re re))) (fma.f64 -1/8 (/.f64 (log.f64 base) (neg.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 re 6)))) (*.f64 1/720 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 re 6) 120)))))) (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 im) 2)))) (pow.f64 im 6)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 base))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(fma.f64 1/2 (/.f64 (/.f64 (*.f64 re re) (log.f64 base)) (*.f64 im im)) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (/.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (log.f64 base))) (*.f64 im im)) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (pow.f64 (log.f64 base) 2)))) (pow.f64 im 4))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(fma.f64 1/2 (/.f64 (/.f64 (*.f64 re re) (log.f64 base)) (*.f64 im im)) (fma.f64 -1 (/.f64 (fma.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (neg.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (/.f64 (pow.f64 (log.f64 base) 2) (fma.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (/.f64 (*.f64 1/4 (*.f64 (log.f64 base) (pow.f64 re 4))) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))))) (pow.f64 im 4)) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (log.f64 base)) (/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (log.f64 (/.f64 -1 im)))) (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 (log.f64 base) 2)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (log.f64 base))) (/.f64 (*.f64 1/4 (*.f64 (log.f64 base) (pow.f64 re 4))) (pow.f64 (log.f64 (/.f64 -1 im)) 3)))))) (pow.f64 im 4))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (pow.f64 (log.f64 base) 2)))) (pow.f64 re 2)) (log.f64 (/.f64 -1 im)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (log.f64 (/.f64 -1 im)))) (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6)))) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))))) (pow.f64 (log.f64 base) 2))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 (/.f64 -1 im)) (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))))) (pow.f64 (log.f64 base) 2))))) (pow.f64 im 6))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (pow.f64 (log.f64 base) 2)))) (pow.f64 im 4))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (fma.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (neg.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (/.f64 (pow.f64 (log.f64 base) 2) (fma.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (/.f64 (*.f64 1/4 (*.f64 (log.f64 base) (pow.f64 re 4))) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))))) (/.f64 (log.f64 (/.f64 -1 im)) (*.f64 re re))) (fma.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (/.f64 (pow.f64 (log.f64 base) 2) (fma.f64 -1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (pow.f64 (log.f64 (/.f64 -1 im)) 3)) (fma.f64 1/2 (/.f64 (*.f64 re re) (/.f64 (log.f64 (/.f64 -1 im)) (fma.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (/.f64 (*.f64 1/4 (*.f64 (log.f64 base) (pow.f64 re 4))) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))) (/.f64 (*.f64 1/720 (*.f64 (log.f64 base) (*.f64 (pow.f64 re 6) 120))) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))))) (*.f64 1/2 (/.f64 (*.f64 (*.f64 (log.f64 (/.f64 -1 im)) (*.f64 re re)) (fma.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (/.f64 (*.f64 1/4 (*.f64 (log.f64 base) (pow.f64 re 4))) (pow.f64 (log.f64 (/.f64 -1 im)) 3)))) (pow.f64 (log.f64 base) 2))))) (pow.f64 im 6)) (fma.f64 1/2 (/.f64 (/.f64 (*.f64 re re) (log.f64 base)) (*.f64 im im)) (fma.f64 -1 (/.f64 (fma.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (neg.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (/.f64 (pow.f64 (log.f64 base) 2) (fma.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (/.f64 (*.f64 1/4 (*.f64 (log.f64 base) (pow.f64 re 4))) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))))) (pow.f64 im 4)) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(-.f64 (-.f64 (fma.f64 1/2 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (log.f64 base)) (/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (log.f64 (/.f64 -1 im)))) (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 (log.f64 base) 2)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (log.f64 base))) (/.f64 (*.f64 1/4 (*.f64 (log.f64 base) (pow.f64 re 4))) (pow.f64 (log.f64 (/.f64 -1 im)) 3)))))) (pow.f64 im 4))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (log.f64 (/.f64 -1 im)))) (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 (log.f64 base) 2)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (log.f64 base))) (/.f64 (*.f64 1/4 (*.f64 (log.f64 base) (pow.f64 re 4))) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))) (log.f64 (/.f64 -1 im))) (*.f64 re re)) (-.f64 (/.f64 (*.f64 1/2 (*.f64 (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (log.f64 base))) (/.f64 (*.f64 1/4 (*.f64 (log.f64 base) (pow.f64 re 4))) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 (*.f64 re re) (log.f64 (/.f64 -1 im))))) (pow.f64 (log.f64 base) 2)) (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 (log.f64 base) 2)) (fma.f64 -1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (pow.f64 (log.f64 (/.f64 -1 im)) 3)) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 re re) (log.f64 (/.f64 -1 im))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (log.f64 base))) (/.f64 (*.f64 1/4 (*.f64 (log.f64 base) (pow.f64 re 4))) (pow.f64 (log.f64 (/.f64 -1 im)) 3)))) (/.f64 (*.f64 1/720 (*.f64 (log.f64 base) (*.f64 (pow.f64 re 6) 120))) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))))) (pow.f64 im 6)))

localize32.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
✓0.2b
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
0.3b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Compiler

Compiled 41 to 11 computations (73.2% saved)

series48.0ms (0.3%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
12.0ms
im
@inf
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
4.0ms
re
@inf
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
4.0ms
im
@0
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
4.0ms
re
@0
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
2.0ms
im
@inf
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))

rewrite95.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
935×pow1_binary64
861×add-log-exp_binary64
861×log1p-expm1-u_binary64
861×expm1-log1p-u_binary64
841×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
122424
2240524
Stop Event
1×node limit
Counts
2 → 71
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (sqrt.f64 (/.f64 (log.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 base)))))) (#(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 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 expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (cbrt.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))) (sqrt.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (/.f64 1 (log.f64 base)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/4) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.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)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.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)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))))

simplify180.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
831×associate-*l/_binary64
360×associate-/l/_binary64
295×distribute-rgt-in_binary64
293×distribute-lft-in_binary64
252×associate-/r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03374454
19774030
236153806
Stop Event
1×node limit
Counts
143 → 172
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 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4))))) (*.f64 -1 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4)))) (pow.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 im)))) (/.f64 1 (pow.f64 im 2)))) 2)))) (pow.f64 re 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 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4))))) (*.f64 -1 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4)))) (pow.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 im)))) (/.f64 1 (pow.f64 im 2)))) 2)))) (pow.f64 re 4)))))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 re))) (log.f64 base))
(+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 -1 re))) (log.f64 base))
(+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (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 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (log.f64 re) (pow.f64 re 4))))) (*.f64 -1 (+.f64 (pow.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 re)))) (/.f64 1 (pow.f64 re 2)))) 2) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 re 4))))))) (pow.f64 im 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 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (log.f64 re) (pow.f64 re 4))))) (*.f64 -1 (+.f64 (pow.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 re)))) (/.f64 1 (pow.f64 re 2)))) 2) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 re 4))))))) (pow.f64 im 4)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 re)))) (/.f64 1 (pow.f64 re 2)))) 2) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 re 4))))) (*.f64 (log.f64 re) (pow.f64 re 2)))) (*.f64 1/6 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 re 6))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 re 4)))) (pow.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 re)))) (/.f64 1 (pow.f64 re 2)))) 2)) (*.f64 (log.f64 re) (pow.f64 re 2))))) (pow.f64 im 6)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (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 (pow.f64 (sqrt.f64 -1) 2) (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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 im))) (log.f64 base)))))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (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 (pow.f64 (sqrt.f64 -1) 2) (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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (log.f64 (/.f64 1 base)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (log.f64 (/.f64 1 base)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (log.f64 (/.f64 1 base)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (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)))))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 im)))) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(+.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 im)))) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4)))) (pow.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 im)))) (/.f64 1 (pow.f64 im 2)))) 2)) (pow.f64 re 4))))))
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(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (sqrt.f64 -1))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re))))) (/.f64 (pow.f64 im 2) (*.f64 (sqrt.f64 -1) (pow.f64 re 2))))) (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (sqrt.f64 -1)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (/.f64 (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base))) (pow.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re))))) (/.f64 (pow.f64 im 2) (sqrt.f64 -1)))) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 re 4))))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re))))) (/.f64 (pow.f64 im 2) (*.f64 (sqrt.f64 -1) (pow.f64 re 2))))) (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (sqrt.f64 -1))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (log.f64 base))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base))) (pow.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re))))) (/.f64 (pow.f64 im 2) (sqrt.f64 -1)))) 2)) (pow.f64 im 2)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 re)))))) (*.f64 (sqrt.f64 -1) (pow.f64 re 6))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (/.f64 (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base))) (pow.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re))))) (/.f64 (pow.f64 im 2) (sqrt.f64 -1)))) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 re 4))))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re))))) (/.f64 (pow.f64 im 2) (*.f64 (sqrt.f64 -1) (pow.f64 re 2))))) (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (sqrt.f64 -1)))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (sqrt.f64 -1)) (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))) (/.f64 (pow.f64 im 2) (*.f64 (sqrt.f64 -1) (pow.f64 re 2))))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (/.f64 (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base))) (pow.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))) (/.f64 (pow.f64 im 2) (sqrt.f64 -1)))) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 re 4))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (sqrt.f64 -1)) (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))) (/.f64 (pow.f64 im 2) (*.f64 (sqrt.f64 -1) (pow.f64 re 2)))))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (/.f64 (-.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (log.f64 base))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base))) (pow.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))) (/.f64 (pow.f64 im 2) (sqrt.f64 -1)))) 2)) (pow.f64 im 2)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 -1 re)))))) (*.f64 (sqrt.f64 -1) (pow.f64 re 6))))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (/.f64 (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base))) (pow.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))) (/.f64 (pow.f64 im 2) (sqrt.f64 -1)))) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 re 4))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (sqrt.f64 -1)) (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))) (/.f64 (pow.f64 im 2) (*.f64 (sqrt.f64 -1) (pow.f64 re 2))))))))
(sqrt.f64 (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 re)))) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (sqrt.f64 (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 re)))) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 re))) (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 re 4)))) (pow.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 re)))) (/.f64 1 (pow.f64 re 2)))) 2)) (pow.f64 im 4)))) (sqrt.f64 (/.f64 (log.f64 re) (log.f64 base)))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 re)))) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 re))) (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 re 4)))) (pow.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 re)))) (/.f64 1 (pow.f64 re 2)))) 2)) (pow.f64 im 4)))) (+.f64 (sqrt.f64 (/.f64 (log.f64 re) (log.f64 base))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 re))) (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 -1/4 (/.f64 (+.f64 (pow.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 re)))) (/.f64 1 (pow.f64 re 2)))) 2) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 re 4))))) (*.f64 (log.f64 re) (pow.f64 re 2))))) (pow.f64 im 6)))))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (sqrt.f64 -1))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im))))) (/.f64 (pow.f64 re 2) (*.f64 (sqrt.f64 -1) (pow.f64 im 2))))) (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (sqrt.f64 -1)))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im))))) (/.f64 (pow.f64 re 2) (*.f64 (sqrt.f64 -1) (pow.f64 im 2))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (/.f64 (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 base))) (pow.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im))))) (/.f64 (pow.f64 re 2) (sqrt.f64 -1)))) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 im 4)))))))
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im))))) (/.f64 (pow.f64 re 2) (*.f64 (sqrt.f64 -1) (pow.f64 im 2))))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (/.f64 (-.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (log.f64 base))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 base))) (pow.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im))))) (/.f64 (pow.f64 re 2) (sqrt.f64 -1)))) 2)) (pow.f64 re 2)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 im)))))) (*.f64 (sqrt.f64 -1) (pow.f64 im 6))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (sqrt.f64 -1)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (/.f64 (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 base))) (pow.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im))))) (/.f64 (pow.f64 re 2) (sqrt.f64 -1)))) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 im 4))))))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) (sqrt.f64 -1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) (sqrt.f64 -1)) (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (/.f64 (pow.f64 re 2) (*.f64 (sqrt.f64 -1) (pow.f64 im 2))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) (sqrt.f64 -1)) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (/.f64 (pow.f64 re 2) (*.f64 (sqrt.f64 -1) (pow.f64 im 2))))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (/.f64 (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 base))) (pow.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (/.f64 (pow.f64 re 2) (sqrt.f64 -1)))) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 im 4)))))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (log.f64 base))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 base))) (pow.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (/.f64 (pow.f64 re 2) (sqrt.f64 -1)))) 2)) (pow.f64 re 2)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 -1 im)))))) (*.f64 (sqrt.f64 -1) (pow.f64 im 6))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) (sqrt.f64 -1)) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (/.f64 (pow.f64 re 2) (*.f64 (sqrt.f64 -1) (pow.f64 im 2))))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (/.f64 (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 base))) (pow.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (/.f64 (pow.f64 re 2) (sqrt.f64 -1)))) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 im 4))))))))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))))
(sqrt.f64 (/.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))))))
(sqrt.f64 (/.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))))))
(sqrt.f64 (/.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))))))
(sqrt.f64 (/.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 (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 (*.f64 re re) (log.f64 base)) (*.f64 im im))))
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(fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) (fma.f64 1/2 (*.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (*.f64 (pow.f64 im 4) (sqrt.f64 -1))) (-.f64 (/.f64 (*.f64 (pow.f64 re 4) -1/4) (log.f64 base)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (*.f64 (*.f64 (/.f64 re (sqrt.f64 -1)) re) 1/4)) 2))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (*.f64 (/.f64 (/.f64 (*.f64 re re) im) (*.f64 (sqrt.f64 -1) im)) 1/4))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (log.f64 base))) (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 base))) (pow.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (/.f64 (pow.f64 re 2) (sqrt.f64 -1)))) 2)) (pow.f64 re 2)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 -1 im)))))) (*.f64 (sqrt.f64 -1) (pow.f64 im 6))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) (sqrt.f64 -1)) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (/.f64 (pow.f64 re 2) (*.f64 (sqrt.f64 -1) (pow.f64 im 2))))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (/.f64 (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 base))) (pow.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (/.f64 (pow.f64 re 2) (sqrt.f64 -1)))) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 im 4))))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (/.f64 (+.f64 (*.f64 1/720 (/.f64 (*.f64 (pow.f64 re 6) 120) (log.f64 base))) (*.f64 -1/4 (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 -1/4 (pow.f64 re 4)) (log.f64 base)) (pow.f64 (*.f64 1/4 (*.f64 (/.f64 (*.f64 re re) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))))) 2)) (pow.f64 (sqrt.f64 -1) 2)) (/.f64 (*.f64 re re) (log.f64 (/.f64 -1 im)))))) (*.f64 (pow.f64 im 6) (sqrt.f64 -1)))) (fma.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) (sqrt.f64 -1) (fma.f64 1/4 (*.f64 (/.f64 (*.f64 re re) (*.f64 (*.f64 im im) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))))) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (/.f64 (-.f64 (/.f64 (*.f64 -1/4 (pow.f64 re 4)) (log.f64 base)) (pow.f64 (*.f64 1/4 (*.f64 (/.f64 (*.f64 re re) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))))) 2)) (*.f64 (pow.f64 im 4) (sqrt.f64 -1)))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (/.f64 (-.f64 (*.f64 1/720 (/.f64 (*.f64 (pow.f64 re 6) 120) (log.f64 base))) (*.f64 -1/4 (/.f64 (*.f64 re (*.f64 re (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 base))) (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (log.f64 (/.f64 -1 im))) (log.f64 base))) (*.f64 (/.f64 re (/.f64 (sqrt.f64 -1) re)) 1/4)) 2)))) (log.f64 (/.f64 -1 im))))) (*.f64 (pow.f64 im 6) (sqrt.f64 -1)))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (/.f64 (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 base))) (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (log.f64 (/.f64 -1 im))) (log.f64 base))) (*.f64 (/.f64 re (/.f64 (sqrt.f64 -1) re)) 1/4)) 2)) (*.f64 (pow.f64 im 4) (sqrt.f64 -1)))) (*.f64 1/4 (/.f64 (*.f64 (*.f64 re re) (sqrt.f64 (/.f64 (/.f64 1 (log.f64 (/.f64 -1 im))) (log.f64 base)))) (*.f64 im (*.f64 im (sqrt.f64 -1))))))))
(+.f64 (fma.f64 1/4 (*.f64 (/.f64 (/.f64 (*.f64 re re) im) (*.f64 (sqrt.f64 -1) im)) (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 re 4) -1/4) (log.f64 base)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (*.f64 (*.f64 (/.f64 re (sqrt.f64 -1)) re) 1/4)) 2)) (*.f64 (pow.f64 im 4) (sqrt.f64 -1))) (/.f64 (fma.f64 1/720 (/.f64 (*.f64 (pow.f64 re 6) 120) (log.f64 base)) (*.f64 1/4 (/.f64 (*.f64 re (*.f64 re (-.f64 (/.f64 (*.f64 (pow.f64 re 4) -1/4) (log.f64 base)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (*.f64 (*.f64 (/.f64 re (sqrt.f64 -1)) re) 1/4)) 2)))) (log.f64 (/.f64 -1 im))))) (*.f64 (pow.f64 im 6) (sqrt.f64 -1))))))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (log.f64 base)))))
(sqrt.f64 (/.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))))))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(sqrt.f64 (/.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))))))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(sqrt.f64 (/.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))))))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(sqrt.f64 (/.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))))))
(sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1)
✓0.4b
(/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
✓0.4b
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
✓0.5b
(pow.f64 (log.f64 base) 2)
Compiler

Compiled 54 to 19 computations (64.8% saved)

series28.0ms (0.2%)

Counts
4 → 116
Calls

30 calls:

TimeVariablePointExpression
2.0ms
base
@0
(/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
1.0ms
re
@inf
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1)
1.0ms
im
@inf
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1)
1.0ms
im
@-inf
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1)
1.0ms
re
@-inf
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1)

rewrite130.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
604×log-prod_binary64
350×pow-prod-down_binary64
315×pow2_binary64
240×pow-unpow_binary64
221×pow-to-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01358
126539
2317839
Stop Event
1×node limit
Counts
4 → 149
Calls
Call 1
Inputs
(pow.f64 (log.f64 base) 2)
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1)
Outputs
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(log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))) (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) (/.f64 (pow.f64 (log.f64 base) 2) (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (log.f64 base)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 base) -2) (/.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) (pow.f64 (log.f64 base) 6)))))) (#(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 log1p.f64 (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 (*.f64 2 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2))))))

simplify338.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
475×fma-def_binary64
376×times-frac_binary64
361×associate-/r*_binary64
337×associate-/l*_binary64
313×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05027397
116616900
268226838
Stop Event
1×node limit
Counts
265 → 298
Calls
Call 1
Inputs
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.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 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 im))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 (log.f64 base) (log.f64 im)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 (log.f64 base) (log.f64 im))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (+.f64 (*.f64 (log.f64 base) (log.f64 im)) (*.f64 1/6 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (pow.f64 im 6))))))
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6)))) (pow.f64 re 6))))))
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4)))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6)))) (pow.f64 re 6))))))
(*.f64 (log.f64 base) (log.f64 re))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (*.f64 (log.f64 base) (log.f64 re)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (*.f64 (log.f64 base) (log.f64 re))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (*.f64 (log.f64 base) (log.f64 re)) (*.f64 1/6 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 re 6))))))
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2)))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6)))) (pow.f64 im 6))))))
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))
(+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2)))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6)))) (pow.f64 im 6))))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(/.f64 (log.f64 base) (log.f64 im))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (/.f64 (log.f64 base) (log.f64 im)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4))) (/.f64 (log.f64 base) (log.f64 im))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6)))) (+.f64 (*.f64 1/8 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6)))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (*.f64 (log.f64 im) (pow.f64 im 2)))))) (pow.f64 re 6))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4))) (/.f64 (log.f64 base) (log.f64 im)))))
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(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (pow.f64 (log.f64 (/.f64 -1 re)) 2)) (pow.f64 (log.f64 base) 2))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))))) (pow.f64 re 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (*.f64 (log.f64 (/.f64 -1 re)) (pow.f64 im 2))) (pow.f64 (log.f64 base) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (pow.f64 (log.f64 (/.f64 -1 re)) 2)) (pow.f64 (log.f64 base) 2))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))))) (pow.f64 im 2)) (log.f64 (/.f64 -1 re)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 (log.f64 (/.f64 -1 re)) 3))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6)))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (pow.f64 im 2)) (log.f64 (/.f64 -1 re)))))) (pow.f64 (log.f64 (/.f64 -1 re)) 2)) (pow.f64 (log.f64 base) 2))))) (pow.f64 re 6))) (+.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 (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 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (log.f64 re) (pow.f64 re 4))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 4))))) (pow.f64 (log.f64 re) 2)) (pow.f64 (log.f64 base) 2)))) (pow.f64 im 4))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 4))))) (log.f64 re)) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 re) 2) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 4))))) (*.f64 (log.f64 re) (pow.f64 re 2)))) (+.f64 (*.f64 1/6 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 6)))) (*.f64 1/8 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 6))))))) (pow.f64 (log.f64 base) 2))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (log.f64 re) (pow.f64 re 4))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 re) 2) (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 4)))))) (pow.f64 (log.f64 base) 2)))) (*.f64 (log.f64 re) (pow.f64 re 2)))))) (pow.f64 im 6))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (log.f64 re) (pow.f64 re 4))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 4))))) (pow.f64 (log.f64 re) 2)) (pow.f64 (log.f64 base) 2)))) (pow.f64 im 4)))))
(*.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 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 2)))) (pow.f64 (log.f64 (/.f64 1 im)) 2)) (pow.f64 (log.f64 base) 2))) (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))))) (pow.f64 im 4))) (*.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 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 2)))) (pow.f64 re 2)) (log.f64 (/.f64 1 im)))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6)))) (pow.f64 (log.f64 (/.f64 1 im)) 2))) (*.f64 -1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (pow.f64 (log.f64 (/.f64 1 im)) 3))))) (pow.f64 (log.f64 (/.f64 1 im)) 2)) (pow.f64 (log.f64 base) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 2)))) (pow.f64 (log.f64 (/.f64 1 im)) 2)) (pow.f64 (log.f64 base) 2))) (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))))) (pow.f64 re 2)) (log.f64 (/.f64 1 im)))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 2)))) (*.f64 (pow.f64 re 2) (log.f64 (/.f64 1 im)))) (pow.f64 (log.f64 base) 2))))) (pow.f64 im 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 2)))) (pow.f64 (log.f64 (/.f64 1 im)) 2)) (pow.f64 (log.f64 base) 2))) (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))))) (pow.f64 im 4))) (*.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 -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 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (pow.f64 (log.f64 base) 2)))) (pow.f64 im 4))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (pow.f64 (log.f64 base) 2)))) (pow.f64 re 2)) (log.f64 (/.f64 -1 im)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (log.f64 (/.f64 -1 im)))) (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6)))) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))))) (pow.f64 (log.f64 base) 2))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 (/.f64 -1 im)) (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))))) (pow.f64 (log.f64 base) 2))))) (pow.f64 im 6))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (pow.f64 (log.f64 base) 2)))) (pow.f64 im 4))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
Outputs
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2)
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(*.f64 -1 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(*.f64 -1 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(*.f64 -1 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(*.f64 -1 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (hypot.f64 re im)))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (hypot.f64 re im)))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (hypot.f64 re im)))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 base) (log.f64 im))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 (log.f64 base) (log.f64 im)))
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(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (pow.f64 (log.f64 base) 2)))) (pow.f64 im 4))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(fma.f64 1/2 (/.f64 (/.f64 (*.f64 re re) (log.f64 base)) (*.f64 im im)) (fma.f64 -1 (/.f64 (fma.f64 1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (log.f64 (/.f64 -1 im))) (neg.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (/.f64 (pow.f64 (log.f64 base) 2) (fma.f64 -1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 4))) (/.f64 (*.f64 1/4 (*.f64 (log.f64 base) (pow.f64 re 4))) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))))) (pow.f64 im 4)) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(-.f64 (-.f64 (/.f64 (*.f64 (*.f64 re re) 1/2) (*.f64 (log.f64 base) (*.f64 im im))) (/.f64 (-.f64 (*.f64 1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (log.f64 (/.f64 -1 im)))) (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 (log.f64 base) 2)) (fma.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (/.f64 (*.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) 1/4) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))) (pow.f64 im 4))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (/.f64 (*.f64 (*.f64 re re) 1/2) (*.f64 (log.f64 base) (*.f64 im im))) (+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)) (/.f64 (-.f64 (*.f64 1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (log.f64 (/.f64 -1 im)))) (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 (log.f64 base) 2)) (fma.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (/.f64 (*.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) 1/4) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))) (pow.f64 im 4))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (pow.f64 (log.f64 base) 2)))) (pow.f64 re 2)) (log.f64 (/.f64 -1 im)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (log.f64 (/.f64 -1 im)))) (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6)))) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))))) (pow.f64 (log.f64 base) 2))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 (/.f64 -1 im)) (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))))) (pow.f64 (log.f64 base) 2))))) (pow.f64 im 6))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (pow.f64 (log.f64 base) 2)))) (pow.f64 im 4))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (fma.f64 1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (log.f64 (/.f64 -1 im))) (neg.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (/.f64 (pow.f64 (log.f64 base) 2) (fma.f64 -1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 4))) (/.f64 (*.f64 1/4 (*.f64 (log.f64 base) (pow.f64 re 4))) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))))) (/.f64 (log.f64 (/.f64 -1 im)) (*.f64 re re))) (fma.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (/.f64 (pow.f64 (log.f64 base) 2) (fma.f64 -1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (pow.f64 (log.f64 (/.f64 -1 im)) 3)) (fma.f64 1/2 (/.f64 (*.f64 re re) (/.f64 (log.f64 (/.f64 -1 im)) (fma.f64 -1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 4))) (/.f64 (*.f64 1/4 (*.f64 (log.f64 base) (pow.f64 re 4))) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))) (/.f64 (*.f64 1/720 (*.f64 (log.f64 base) (*.f64 (pow.f64 re 6) 120))) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))))) (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 im)) (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (*.f64 re re) (fma.f64 -1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 4))) (/.f64 (*.f64 1/4 (*.f64 (log.f64 base) (pow.f64 re 4))) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))))))) (pow.f64 im 6)) (fma.f64 1/2 (/.f64 (/.f64 (*.f64 re re) (log.f64 base)) (*.f64 im im)) (fma.f64 -1 (/.f64 (fma.f64 1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (log.f64 (/.f64 -1 im))) (neg.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (/.f64 (pow.f64 (log.f64 base) 2) (fma.f64 -1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 4))) (/.f64 (*.f64 1/4 (*.f64 (log.f64 base) (pow.f64 re 4))) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))))) (pow.f64 im 4)) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(-.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 re re) 1/2) (*.f64 (log.f64 base) (*.f64 im im))) (/.f64 (-.f64 (*.f64 1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (log.f64 (/.f64 -1 im)))) (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 (log.f64 base) 2)) (fma.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (/.f64 (*.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) 1/4) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))) (pow.f64 im 4))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (-.f64 (*.f64 1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (log.f64 (/.f64 -1 im)))) (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 (log.f64 base) 2)) (fma.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (/.f64 (*.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) 1/4) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))) (log.f64 (/.f64 -1 im))) (*.f64 re re)) (-.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 im)) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 re re)) (fma.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (/.f64 (*.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) 1/4) (pow.f64 (log.f64 (/.f64 -1 im)) 3)))))) (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 (log.f64 base) 2)) (fma.f64 -1/8 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 im)) 3)) (pow.f64 re 6)) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 re re) (log.f64 (/.f64 -1 im))) (fma.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (/.f64 (*.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) 1/4) (pow.f64 (log.f64 (/.f64 -1 im)) 3)))) (/.f64 1/720 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (*.f64 (log.f64 base) (*.f64 (pow.f64 re 6) 120))))))))) (pow.f64 im 6)))
(-.f64 (-.f64 (/.f64 (*.f64 (*.f64 re re) 1/2) (*.f64 (log.f64 base) (*.f64 im im))) (+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)) (/.f64 (-.f64 (*.f64 1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (log.f64 (/.f64 -1 im)))) (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 (log.f64 base) 2)) (fma.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (/.f64 (*.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) 1/4) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))) (pow.f64 im 4)))) (/.f64 (fma.f64 -1/2 (*.f64 (/.f64 (-.f64 (*.f64 1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (log.f64 (/.f64 -1 im)))) (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 (log.f64 base) 2)) (fma.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (/.f64 (*.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) 1/4) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))) (log.f64 (/.f64 -1 im))) (*.f64 re re)) (-.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 im)) (/.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 re re)) (fma.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (/.f64 (*.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) 1/4) (pow.f64 (log.f64 (/.f64 -1 im)) 3)))))) (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 (log.f64 base) 2)) (fma.f64 -1/8 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 im)) 3)) (pow.f64 re 6)) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 re re) (log.f64 (/.f64 -1 im))) (fma.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (/.f64 (*.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) 1/4) (pow.f64 (log.f64 (/.f64 -1 im)) 3)))) (/.f64 1/720 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (*.f64 (log.f64 base) (*.f64 (pow.f64 re 6) 120))))))))) (pow.f64 im 6)))

eval1.5s (10.4%)

Compiler

Compiled 29820 to 17332 computations (41.9% saved)

prune328.0ms (2.3%)

Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New81423837
Fresh18119
Picked101
Done235
Total83527862
Error
0b
Counts
862 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.7b
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
0.7b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3))
32.1b
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
✓0.4b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
0.7b
(-.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
46.5b
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
30.4b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
▶30.2b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
30.3b
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
0.4b
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
✓30.2b
(/.f64 (log.f64 im) (log.f64 base))
0.5b
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)))
1.3b
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 3) -1)
1.4b
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
0.9b
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) -1)
▶30.2b
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
✓0.3b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
30.2b
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
30.7b
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
▶31.5b
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (log.f64 (hypot.f64 re im)))
▶0.4b
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
0.6b
(pow.f64 (-.f64 (+.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1) -1)
1.0b
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
45.8b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))
30.3b
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
30.2b
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
0.5b
(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
Compiler

Compiled 634 to 494 computations (22.1% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
0.3b
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
Compiler

Compiled 32 to 10 computations (68.8% saved)

series5.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
re
@inf
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
0.0ms
base
@0
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
0.0ms
im
@-inf
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
0.0ms
re
@-inf
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
0.0ms
im
@inf
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))

rewrite53.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
936×pow1_binary64
858×add-log-exp_binary64
858×log1p-expm1-u_binary64
858×expm1-log1p-u_binary64
838×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01014
119911
2243011
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) 1) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))))

simplify88.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
843×fma-neg_binary64
572×associate-/l/_binary64
527×div-sub_binary64
405×associate-/r/_binary64
368×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01141173
13041064
28841016
33629992
47748992
Stop Event
1×node limit
Counts
72 → 79
Calls
Call 1
Inputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.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 (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))))))
Outputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (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)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (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)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.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 re re)) (*.f64 (*.f64 im im) (log.f64 base))))
(fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 1/2 (*.f64 (/.f64 re im) (/.f64 re (*.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 (*.f64 im im) (log.f64 base))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (*.f64 (/.f64 1/2 (*.f64 im im)) (/.f64 re (/.f64 (log.f64 base) re)))))
(fma.f64 1/2 (*.f64 (/.f64 re im) (/.f64 re (*.f64 im (log.f64 base)))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im)))))
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(-.f64 (fma.f64 1/2 (*.f64 (/.f64 re im) (/.f64 re (*.f64 im (log.f64 base)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (*.f64 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/720 (/.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))))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (*.f64 im im) (log.f64 base))) (fma.f64 1/720 (/.f64 (*.f64 (pow.f64 re 6) 120) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (fma.f64 1/720 (*.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (/.f64 120 (log.f64 base))) (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 re im) (/.f64 re (*.f64 im (log.f64 base)))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (*.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (log.f64 base))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (log.f64 base)) (*.f64 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
0.3b
(/.f64 1 (log.f64 base))
Compiler

Compiled 21 to 11 computations (47.6% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
base
@0
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
0.0ms
im
@-inf
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
0.0ms
base
@inf
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
0.0ms
base
@-inf
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
0.0ms
im
@inf
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))

rewrite129.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
670×pow1_binary64
614×add-log-exp_binary64
614×log1p-expm1-u_binary64
614×expm1-log1p-u_binary64
601×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
11528
217448
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 im) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (log.f64 im)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) -1) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (log.f64 im) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))))))

simplify123.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1221×div-sub_binary64
331×sub-neg_binary64
311×associate-/r*_binary64
282×distribute-rgt-in_binary64
261×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027192
151192
278192
3167192
4448192
51541192
64769192
75932192
86465192
96741192
106919192
117024192
Stop Event
1×node limit
Counts
48 → 28
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
Outputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
✓0.2b
(/.f64 (log.f64 base) (log.f64 im))
Compiler

Compiled 22 to 9 computations (59.1% saved)

series7.0ms (0.1%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
1.0ms
im
@-inf
(/.f64 (log.f64 base) (log.f64 im))
1.0ms
im
@-inf
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
1.0ms
base
@-inf
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
1.0ms
base
@inf
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
1.0ms
im
@inf
(/.f64 (log.f64 base) (log.f64 im))

rewrite62.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
752×pow1_binary64
696×add-log-exp_binary64
696×log1p-expm1-u_binary64
696×expm1-log1p-u_binary64
680×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
116016
2194516
Stop Event
1×node limit
Counts
2 → 71
Calls
Call 1
Inputs
(/.f64 (log.f64 base) (log.f64 im))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 base) (log.f64 im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 1 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (log.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 base) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (/.f64 1 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (/.f64 1 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 base)) (/.f64 1 (neg.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 im)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (/.f64 (cbrt.f64 (log.f64 base)) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 base)) 1) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (sqrt.f64 (log.f64 im))) (/.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 im) (log.f64 base)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (/.f64 1 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 im) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 im) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1) (pow.f64 (/.f64 1 (log.f64 im)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 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 im) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (log.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 im) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 im)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))))))

simplify145.0ms (1%)

Algorithm
1×egg-herbie
Rules
1346×div-sub_binary64
357×sub-neg_binary64
328×times-frac_binary64
302×fma-def_binary64
281×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033384
165384
2103320
3219320
4647320
52173320
65084320
76502320
86873320
97039320
107181320
117245320
Stop Event
1×node limit
Counts
111 → 80
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 im)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 im)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 im)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 im)))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(/.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(/.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(/.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(/.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
Outputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 im)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 im))
(/.f64 (log.f64 base) (log.f64 im))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 im)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 im))
(/.f64 (log.f64 base) (log.f64 im))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 im)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 im))
(/.f64 (log.f64 base) (log.f64 im))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 im)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 im))
(/.f64 (log.f64 base) (log.f64 im))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 im))
(/.f64 (log.f64 base) (log.f64 im))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 im))
(/.f64 (log.f64 base) (log.f64 im))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 im))
(/.f64 (log.f64 base) (log.f64 im))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 im))
(/.f64 (log.f64 base) (log.f64 im))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 im))
(/.f64 (log.f64 base) (log.f64 im))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 im))
(/.f64 (log.f64 base) (log.f64 im))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 im))
(/.f64 (log.f64 base) (log.f64 im))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 im))
(/.f64 (log.f64 base) (log.f64 im))
(/.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 im))
(/.f64 (log.f64 base) (log.f64 im))
(/.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 im))
(/.f64 (log.f64 base) (log.f64 im))
(/.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 im))
(/.f64 (log.f64 base) (log.f64 im))
(/.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 im))
(/.f64 (log.f64 base) (log.f64 im))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1 (log.f64 base))
✓0.4b
(pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))
✓0.6b
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
Compiler

Compiled 33 to 15 computations (54.5% saved)

series209.0ms (1.5%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
110.0ms
base
@-inf
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
44.0ms
base
@inf
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
22.0ms
base
@-inf
(pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))
16.0ms
base
@0
(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))))

rewrite69.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
866×pow1_binary64
793×add-log-exp_binary64
792×log1p-expm1-u_binary64
792×expm1-log1p-u_binary64
774×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01026
119723
2225923
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))
Outputs
((#(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 (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 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 (cbrt.f64 (/.f64 1 (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)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (cbrt.f64 (/.f64 1 (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 -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 expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (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)))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) 2) (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 (pow.f64 (hypot.f64 re im) 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 cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 3))))) (#(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 log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))

simplify138.0ms (1%)

Algorithm
1×egg-herbie
Rules
802×associate-/l*_binary64
708×associate-*l/_binary64
693×associate-*r/_binary64
373×distribute-lft-in_binary64
373×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03044465
19204211
233273721
Stop Event
1×node limit
Counts
115 → 141
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 1/24 (*.f64 (pow.f64 re 4) (-.f64 (*.f64 24 (-.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 3 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))))))))
(+.f64 (*.f64 1/720 (*.f64 (+.f64 (*.f64 720 (-.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)))))) (+.f64 (*.f64 -360 (/.f64 (-.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 (log.f64 base) (pow.f64 im 2)))) (*.f64 30 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))))) (pow.f64 re 6))) (+.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 1/24 (*.f64 (pow.f64 re 4) (-.f64 (*.f64 24 (-.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 3 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (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 (/.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 1/24 (/.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (*.f64 24 (+.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)))))) (pow.f64 re 4)))))
(+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 -360 (/.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)))) (pow.f64 im 2)) (log.f64 base))) (+.f64 (*.f64 720 (+.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)))))) (*.f64 30 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))))) (pow.f64 re 6))) (+.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 1/24 (/.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (*.f64 24 (+.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)))))) (pow.f64 re 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 (/.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 1/24 (/.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (*.f64 24 (+.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)))))) (pow.f64 re 4)))))
(+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 -360 (/.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)))) (pow.f64 im 2)) (log.f64 base))) (+.f64 (*.f64 720 (+.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)))))) (*.f64 30 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))))) (pow.f64 re 6))) (+.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 1/24 (/.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (*.f64 24 (+.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)))))) (pow.f64 re 4))))))
(/.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 1/24 (*.f64 (-.f64 (*.f64 24 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4)))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 re 4)))))) (*.f64 3 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4))))) (pow.f64 im 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 1/24 (*.f64 (-.f64 (*.f64 24 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4)))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 re 4)))))) (*.f64 3 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4))))) (pow.f64 im 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (*.f64 1/720 (*.f64 (+.f64 (*.f64 30 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 6)))) (+.f64 (*.f64 720 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/48 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 6))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 6)))))) (*.f64 -360 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4)))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 re 4))))) (*.f64 (log.f64 base) (pow.f64 re 2)))))) (pow.f64 im 6))))))
(*.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 1/24 (/.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 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 1/24 (/.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)))))
(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))))
(+.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (*.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)))))
(+.f64 (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)))) (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (+.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))))) (pow.f64 re 4))))
(+.f64 (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)))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (+.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))))) (pow.f64 re 4)) (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) (+.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)))))) (pow.f64 re 6)))))
(exp.f64 (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 re) (log.f64 base))) (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2)))) (exp.f64 (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4)))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 re 4))))) (*.f64 (exp.f64 (/.f64 (log.f64 re) (log.f64 base))) (pow.f64 im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 re) (log.f64 base))) (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2)))) (exp.f64 (/.f64 (log.f64 re) (log.f64 base)))))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/48 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 6))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 6))))) (*.f64 (exp.f64 (/.f64 (log.f64 re) (log.f64 base))) (pow.f64 im 6))) (+.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4)))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 re 4))))) (*.f64 (exp.f64 (/.f64 (log.f64 re) (log.f64 base))) (pow.f64 im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 re) (log.f64 base))) (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 2)))) (exp.f64 (/.f64 (log.f64 re) (log.f64 base))))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))) (*.f64 (log.f64 base) (pow.f64 im 2)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (/.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)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))) (pow.f64 im 4)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (/.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)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))) (pow.f64 im 4)) (+.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))) (/.f64 (*.f64 (+.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))))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))) (pow.f64 im 6)))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))) (*.f64 (log.f64 base) (pow.f64 im 2)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (/.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)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))) (pow.f64 im 4)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (/.f64 (*.f64 (+.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))))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))) (pow.f64 im 6)) (+.f64 (/.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)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))) (pow.f64 im 4)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))))
(exp.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))))
(exp.f64 (/.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))))))
(exp.f64 (/.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))))))
(exp.f64 (/.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))))))
(exp.f64 (/.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 (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 re re)) (*.f64 (log.f64 base) (*.f64 im im))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 1/2 (/.f64 (*.f64 (/.f64 re im) (/.f64 re 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 1/24 (*.f64 (pow.f64 re 4) (-.f64 (*.f64 24 (-.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 3 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (*.f64 (*.f64 1/24 (pow.f64 re 4)) (fma.f64 24 (-.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)))) (neg.f64 (/.f64 3 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))))))
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(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (/.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)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))) (pow.f64 im 4)) (+.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))) (/.f64 (*.f64 (+.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))))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))) (pow.f64 im 6)))))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 re re) (log.f64 base)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))) (*.f64 im im))) (+.f64 (+.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))) (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 base)) (/.f64 (*.f64 1/8 (pow.f64 re 4)) (pow.f64 (log.f64 base) 2))) (/.f64 (pow.f64 im 4) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))))) (/.f64 (fma.f64 1/48 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 3)) (fma.f64 -1/8 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 2)) (*.f64 1/720 (/.f64 (*.f64 (pow.f64 re 6) 120) (log.f64 base))))) (/.f64 (pow.f64 im 6) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))))))
(+.f64 (+.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base))) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base)))) (/.f64 (fma.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 2)) (/.f64 (*.f64 (pow.f64 re 4) -1/4) (log.f64 base))) (/.f64 (pow.f64 im 4) (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base))))))) (*.f64 (/.f64 (fma.f64 1/48 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 3)) (fma.f64 -1/8 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 2)) (*.f64 1/720 (/.f64 (pow.f64 re 6) (/.f64 (log.f64 base) 120))))) (pow.f64 im 6)) (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base)))))
(+.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 1/720 (pow.f64 re 6)) 120) (log.f64 base)) (*.f64 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 2)) (+.f64 (/.f64 1/48 (log.f64 base)) -1/8))) (pow.f64 im 6)) 1) (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) (*.f64 im im)) (+.f64 (/.f64 (*.f64 1/2 (*.f64 re re)) (log.f64 base)) (/.f64 (*.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (+.f64 (/.f64 1/8 (log.f64 base)) -1/4)) (*.f64 im im)))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(exp.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 base)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))) (*.f64 (log.f64 base) (pow.f64 im 2)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 re re) (log.f64 base)) (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))) (*.f64 im im))) (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))) (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (log.f64 base)) (exp.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 base)))) (exp.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 base))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (/.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)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))) (pow.f64 im 4)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 re re) (log.f64 base)) (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))) (*.f64 im im))) (+.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))) (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 base)) (/.f64 (*.f64 1/8 (pow.f64 re 4)) (pow.f64 (log.f64 base) 2))) (/.f64 (pow.f64 im 4) (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))))
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))) (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))) (/.f64 (fma.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 2)) (/.f64 (*.f64 (pow.f64 re 4) -1/4) (log.f64 base))) (/.f64 (pow.f64 im 4) (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))))
(+.f64 (exp.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 base))) (*.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 base))) (*.f64 im im)) (+.f64 (/.f64 (*.f64 1/2 (*.f64 re re)) (log.f64 base)) (/.f64 (*.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (+.f64 (/.f64 1/8 (log.f64 base)) -1/4)) (*.f64 im im)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (/.f64 (*.f64 (+.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))))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))) (pow.f64 im 6)) (+.f64 (/.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)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))) (pow.f64 im 4)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 re re) (log.f64 base)) (/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))) (*.f64 im im))) (+.f64 (+.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))) (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 base)) (/.f64 (*.f64 1/8 (pow.f64 re 4)) (pow.f64 (log.f64 base) 2))) (/.f64 (pow.f64 im 4) (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))) (/.f64 (fma.f64 1/48 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 3)) (fma.f64 -1/8 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 2)) (*.f64 1/720 (/.f64 (*.f64 (pow.f64 re 6) 120) (log.f64 base))))) (/.f64 (pow.f64 im 6) (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))))
(+.f64 (+.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))) (/.f64 (fma.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 base) 2)) (/.f64 (*.f64 (pow.f64 re 4) -1/4) (log.f64 base))) (/.f64 (pow.f64 im 4) (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))) (*.f64 (/.f64 (fma.f64 1/48 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 3)) (fma.f64 -1/8 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 2)) (*.f64 1/720 (/.f64 (pow.f64 re 6) (/.f64 (log.f64 base) 120))))) (pow.f64 im 6)) (exp.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))))
(+.f64 (*.f64 (exp.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 base))) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 1/720 (pow.f64 re 6)) 120) (log.f64 base)) (*.f64 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 base) 2)) (+.f64 (/.f64 1/48 (log.f64 base)) -1/8))) (pow.f64 im 6)) (/.f64 (*.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (+.f64 (/.f64 1/8 (log.f64 base)) -1/4)) (pow.f64 im 4)))) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (log.f64 base)) (exp.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 base)))) (exp.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 base)))))
(exp.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))))
(exp.f64 (neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 base)))))
(exp.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))))
(exp.f64 (neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 base)))))
(exp.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))))
(exp.f64 (neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 base)))))
(exp.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))))
(exp.f64 (neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 base)))))
(exp.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base))))
(exp.f64 (/.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))))))
(exp.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(exp.f64 (/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(exp.f64 (/.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))))))
(exp.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(exp.f64 (/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(exp.f64 (/.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))))))
(exp.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(exp.f64 (/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))
(exp.f64 (/.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))))))
(exp.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))))
(exp.f64 (/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))))

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(pow.f64 (log.f64 base) -1/2)
✓0.2b
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (log.f64 (hypot.f64 re im)))
✓0.3b
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
Compiler

Compiled 38 to 19 computations (50% saved)

series61.0ms (0.4%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
23.0ms
base
@-inf
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
16.0ms
base
@0
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
15.0ms
base
@inf
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
1.0ms
base
@-inf
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (log.f64 (hypot.f64 re im)))
1.0ms
base
@0
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (log.f64 (hypot.f64 re im)))

rewrite66.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
494×log-prod_binary64
386×exp-prod_binary64
312×prod-exp_binary64
286×pow2_binary64
279×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
124526
2264726
Stop Event
1×node limit
Counts
3 → 102
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (log.f64 (hypot.f64 re im)))
(pow.f64 (log.f64 base) -1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (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 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (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) -1/4) (pow.f64 (log.f64 base) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -3/4) (pow.f64 (log.f64 base) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 1 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (log.f64 base)) 5/6) (pow.f64 (log.f64 base) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (log.f64 base))))) (#(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 (log.f64 base) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))))) (#(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 exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (log.f64 (log.f64 base)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (log.f64 (log.f64 base))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 base)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -1/2 (log.f64 (log.f64 base))) 1) (*.f64 -1/2 (log.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -1/2 (log.f64 (log.f64 base))) (*.f64 (*.f64 -1/2 (log.f64 (log.f64 base))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -1/2 (log.f64 (log.f64 base))) 1) (*.f64 (*.f64 -1/2 (log.f64 (log.f64 base))) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) 2)) (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 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (log.f64 base) -1/2) (sqrt.f64 (log.f64 (hypot.f64 re im)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))) 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 (-.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 1)))))) (#(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 expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (log.f64 base) -1/2) (sqrt.f64 (log.f64 (hypot.f64 re im))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) -1) (log.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1) (log.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 (log.f64 base))) (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) -1) (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1) (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1) (neg.f64 (log.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (log.f64 (hypot.f64 re im))) (*.f64 (log.f64 (log.f64 base)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1) (*.f64 (log.f64 (log.f64 base)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (log.f64 (hypot.f64 re im))) (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1) (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log.f64 base) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 base) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1/6) (/.f64 1 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1/4) (pow.f64 (log.f64 base) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (log.f64 base) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 base) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 base) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3/2 (log.f64 (log.f64 base))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/4 (log.f64 (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 base))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (log.f64 (log.f64 base))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) -1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) -1/4) (*.f64 -1/4 (log.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -1/4 (log.f64 (log.f64 base))) (*.f64 (log.f64 (log.f64 base)) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) -1/4) (*.f64 (log.f64 (log.f64 base)) -1/4)))))))

simplify81.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
843×fma-neg_binary64
578×associate-/l/_binary64
527×div-sub_binary64
405×associate-/r/_binary64
368×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01231369
13141260
28941204
336361180
477681180
Stop Event
1×node limit
Counts
162 → 150
Calls
Call 1
Inputs
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 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)))))
(/.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 (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))))))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
Outputs
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (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)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (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)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.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 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)))
(+.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 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 (*.f64 re re) (*.f64 im im)))))
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (fma.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im)))))
(+.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 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 (*.f64 re re) (*.f64 im im))))))
(fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (fma.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (/.f64 (log.f64 im) (log.f64 base)))))
(+.f64 (*.f64 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im)))) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (/.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 (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 (*.f64 1/2 (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re))))
(-.f64 (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 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 (*.f64 1/2 (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re)))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 re 4)) (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 (*.f64 (/.f64 im (log.f64 base)) im) (+.f64 (/.f64 1/2 (*.f64 re re)) (*.f64 (/.f64 (*.f64 im im) (pow.f64 re 4)) -1/4))))
(+.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 im) (*.f64 (log.f64 base) (*.f64 re re))) (*.f64 1/720 (*.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (/.f64 120 (pow.f64 re 6))))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 re 4)) (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(+.f64 (*.f64 (*.f64 (/.f64 im (log.f64 base)) im) (+.f64 (/.f64 1/2 (*.f64 re re)) (*.f64 (/.f64 (*.f64 im im) (pow.f64 re 4)) -1/4))) (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (pow.f64 re 6)) (/.f64 (log.f64 re) (log.f64 base))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(/.f64 (-.f64 (log.f64 re) (log.f64 -1)) (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 (*.f64 1/2 (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re))))
(-.f64 (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (/.f64 1/2 (/.f64 (*.f64 re re) (/.f64 (*.f64 im im) (log.f64 base)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (*.f64 (*.f64 (/.f64 im (log.f64 base)) im) (/.f64 1/2 (*.f64 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 (*.f64 1/2 (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re)))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 re 4)) (/.f64 1/2 (/.f64 (*.f64 re re) (/.f64 (*.f64 im im) (log.f64 base))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (*.f64 (*.f64 (/.f64 im (log.f64 base)) im) (+.f64 (/.f64 1/2 (*.f64 re re)) (*.f64 (/.f64 (*.f64 im im) (pow.f64 re 4)) -1/4))) (/.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 im) (*.f64 (log.f64 base) (*.f64 re re))) (*.f64 1/720 (*.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (/.f64 120 (pow.f64 re 6))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 re 4)) (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (pow.f64 re 6)) (*.f64 (*.f64 (/.f64 im (log.f64 base)) im) (+.f64 (/.f64 1/2 (*.f64 re re)) (*.f64 (/.f64 (*.f64 im im) (pow.f64 re 4)) -1/4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (log.f64 re) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(+.f64 (/.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 (*.f64 1/2 (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re))))
(-.f64 (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 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 (*.f64 1/2 (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re)))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 re 4)) (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 (*.f64 (/.f64 im (log.f64 base)) im) (+.f64 (/.f64 1/2 (*.f64 re re)) (*.f64 (/.f64 (*.f64 im im) (pow.f64 re 4)) -1/4))))
(+.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)))))))
(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 im) (*.f64 (log.f64 base) (*.f64 re re))) (*.f64 1/720 (*.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (/.f64 120 (pow.f64 re 6))))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 re 4)) (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(+.f64 (*.f64 (*.f64 (/.f64 im (log.f64 base)) im) (+.f64 (/.f64 1/2 (*.f64 re re)) (*.f64 (/.f64 (*.f64 im im) (pow.f64 re 4)) -1/4))) (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (pow.f64 re 6)) (/.f64 (log.f64 re) (log.f64 base))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (*.f64 -1 (/.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 (log.f64 im) (log.f64 base)) (/.f64 (*.f64 1/2 (*.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)))
(+.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 (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 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 (*.f64 re re) (*.f64 im im)))))
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (fma.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im)))))
(+.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 (/.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 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 (*.f64 re re) (*.f64 im im))))))
(fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (fma.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (/.f64 (log.f64 im) (log.f64 base)))))
(+.f64 (*.f64 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im)))) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 base))
(/.f64 (-.f64 (log.f64 im) (log.f64 -1)) (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))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 (*.f64 re re) (*.f64 im im))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 base)))
(-.f64 (*.f64 (*.f64 (/.f64 re (log.f64 base)) re) (/.f64 1/2 (*.f64 im im))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (*.f64 (/.f64 1/2 (log.f64 base)) (/.f64 (*.f64 re re) (*.f64 im im)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (*.f64 (/.f64 -1/4 (*.f64 (log.f64 base) (pow.f64 im 4))) (pow.f64 re 4))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (*.f64 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/720 (/.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))))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (fma.f64 1/720 (/.f64 (*.f64 (pow.f64 re 6) 120) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (*.f64 1/720 (*.f64 (/.f64 (pow.f64 re 6) (log.f64 base)) (/.f64 120 (pow.f64 im 6))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (fma.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (fma.f64 (/.f64 1/2 (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (*.f64 (/.f64 1/6 (*.f64 (log.f64 base) (pow.f64 im 6))) (pow.f64 re 6)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (*.f64 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 -1 (log.f64 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 -1 (log.f64 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 -1 (log.f64 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 -1 (log.f64 base))))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 1 (log.f64 base)))

eval260.0ms (1.9%)

Compiler

Compiled 14907 to 8345 computations (44% saved)

prune403.0ms (2.9%)

Pruning

27 alts after pruning (22 fresh and 5 done)

PrunedKeptTotal
New58917606
Fresh14519
Picked101
Done257
Total60627633
Error
0b
Counts
633 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.7b
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
32.1b
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
✓0.4b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
▶30.2b
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
0.7b
(-.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
▶32.9b
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1) (log.f64 im))
▶30.4b
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 im))
1.3b
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 3))
✓30.2b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
30.3b
(pow.f64 (-.f64 (+.f64 1 (/.f64 (log.f64 base) (log.f64 im))) 1) -1)
▶0.4b
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
✓30.2b
(/.f64 (log.f64 im) (log.f64 base))
0.5b
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)))
▶46.5b
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
0.9b
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))))
✓0.3b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
32.1b
(/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))))
30.2b
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
0.5b
(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)))
30.4b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
30.3b
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
45.8b
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (log.f64 im))
1.3b
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 1))
0.7b
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -3)) (log.f64 (hypot.f64 re im)))
30.7b
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
30.3b
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 im)))) -1)
30.3b
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
Compiler

Compiled 608 to 487 computations (19.9% saved)

localize26.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1 (log.f64 base))
✓0.3b
(/.f64 1 (log.f64 (hypot.f64 re im)))
✓0.3b
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
Compiler

Compiled 37 to 16 computations (56.8% saved)

series25.0ms (0.2%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
7.0ms
re
@inf
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
3.0ms
re
@inf
(/.f64 1 (log.f64 (hypot.f64 re im)))
3.0ms
im
@inf
(/.f64 1 (log.f64 (hypot.f64 re im)))
2.0ms
re
@-inf
(/.f64 1 (log.f64 (hypot.f64 re im)))
2.0ms
im
@0
(/.f64 1 (log.f64 (hypot.f64 re im)))

rewrite104.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
516×log-prod_binary64
411×exp-prod_binary64
289×pow-prod-down_binary64
274×pow2_binary64
194×pow-to-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01126
122520
2281220
Stop Event
1×node limit
Counts
2 → 95
Calls
Call 1
Inputs
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
(/.f64 1 (log.f64 (hypot.f64 re im)))
Outputs
((#(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 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) 2)) (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 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (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 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (pow.f64 (log.f64 base) -1/2) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (log.f64 (hypot.f64 re im)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (log.f64 base)) (/.f64 1 (/.f64 -1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 base) -1/2) 1) (/.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2))) (/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 base) -1/2) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2))) (/.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (pow.f64 (log.f64 (hypot.f64 re im)) -1/2)) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (pow.f64 (log.f64 (hypot.f64 re im)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (log.f64 base)) -1) (neg.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) 1/2)))) (#(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 pow.f64 (/.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (log.f64 (hypot.f64 re im)) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (cbrt.f64 (log.f64 base)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2)) (cbrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (sqrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (log.f64 base)) (/.f64 -1 (log.f64 (hypot.f64 re im)))))))) (#(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 base) -3) (pow.f64 (log.f64 (hypot.f64 re im)) -3)))))) (#(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 log1p.f64 (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 (*.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)) (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -1/2) (pow.f64 (log.f64 (hypot.f64 re im)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (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 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (hypot.f64 re im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im)))))) (sqrt.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (log.f64 (hypot.f64 re im)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im)))) 1) 1))))))

simplify157.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
991×associate-/l*_binary64
589×associate-*l/_binary64
513×associate-*r/_binary64
258×fma-def_binary64
237×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03072921
18882751
232752636
Stop Event
1×node limit
Counts
155 → 186
Calls
Call 1
Inputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.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 (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 1 (log.f64 im))
(+.f64 (/.f64 1 (log.f64 im)) (*.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))))
(+.f64 (/.f64 1 (log.f64 im)) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4)))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4))))) (pow.f64 re 4)) (*.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2))))))
(+.f64 (/.f64 1 (log.f64 im)) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4)))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4))))) (pow.f64 re 4)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (*.f64 -1 (*.f64 (pow.f64 re 6) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4)))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4))))) (*.f64 (log.f64 im) (pow.f64 im 2)))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6)))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6)))))))))))
(/.f64 -1 (log.f64 (/.f64 1 re)))
(-.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (/.f64 1 (log.f64 (/.f64 1 re))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 1 re)) 3)))) (pow.f64 re 4))) (*.f64 -1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2))))) (/.f64 1 (log.f64 (/.f64 1 re))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 1 re)) 3)))) (pow.f64 re 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 1 re)) 3)))) (pow.f64 im 2)) (log.f64 (/.f64 1 re)))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (*.f64 1/720 (/.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 1 (log.f64 (/.f64 1 re))))
(/.f64 -1 (log.f64 (/.f64 -1 re)))
(-.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))) (/.f64 1 (log.f64 (/.f64 -1 re))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 -1 re)) 3))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))) (pow.f64 re 4)))) (/.f64 1 (log.f64 (/.f64 -1 re))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 -1 re)) 3))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))) (pow.f64 im 2)) (log.f64 (/.f64 -1 re)))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 (/.f64 -1 re)) 3))) (*.f64 1/720 (/.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 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 -1 re)) 3))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))) (pow.f64 re 4))))) (/.f64 1 (log.f64 (/.f64 -1 re))))
(/.f64 1 (log.f64 re))
(+.f64 (/.f64 1 (log.f64 re)) (*.f64 -1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 2)))))
(+.f64 (/.f64 1 (log.f64 re)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 2)))) (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 4)))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 4))))) (pow.f64 im 4))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 4)))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 4))))) (*.f64 (log.f64 re) (pow.f64 re 2)))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 6)))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 6)))))) (pow.f64 im 6))) (+.f64 (/.f64 1 (log.f64 re)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 2)))) (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 4)))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 4))))) (pow.f64 im 4)))))
(/.f64 -1 (log.f64 (/.f64 1 im)))
(-.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 2)))) (/.f64 1 (log.f64 (/.f64 1 im))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 im)) 3))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 im)) 2)))) (pow.f64 im 4)))) (/.f64 1 (log.f64 (/.f64 1 im))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 im)) 3))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 im)) 2)))) (pow.f64 im 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (pow.f64 (log.f64 (/.f64 1 im)) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 im)) 3))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 im)) 2)))) (pow.f64 re 2)) (log.f64 (/.f64 1 im)))) (*.f64 -1/8 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 (/.f64 1 im)) 3))))) (pow.f64 im 6))))) (/.f64 1 (log.f64 (/.f64 1 im))))
(/.f64 -1 (log.f64 (/.f64 -1 im)))
(-.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 im 2)))) (/.f64 1 (log.f64 (/.f64 -1 im))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))) (pow.f64 im 4)))) (/.f64 1 (log.f64 (/.f64 -1 im))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))) (pow.f64 im 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (log.f64 (/.f64 -1 im)))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (pow.f64 im 6))))) (/.f64 1 (log.f64 (/.f64 -1 im))))
Outputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(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 re im))) (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 re im))) (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 re im))) (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 re im))) (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 re im)) (-.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 re im)) (-.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 re im)) (-.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 re im)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.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 re re)) (*.f64 (*.f64 im im) (log.f64 base))))
(fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (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 (*.f64 im im) (log.f64 base))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (*.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (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 (*.f64 im im) (log.f64 base))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (log.f64 base)) (fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (*.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base))))))
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(fma.f64 -1 (*.f64 (pow.f64 im 6) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/4 (*.f64 (pow.f64 re 4) (pow.f64 (log.f64 re) 2))) (/.f64 1/4 (*.f64 (pow.f64 re 4) (pow.f64 (log.f64 re) 3)))) (*.f64 (*.f64 re re) (log.f64 re))) (+.f64 (/.f64 1/8 (*.f64 (pow.f64 re 6) (pow.f64 (log.f64 re) 3))) (/.f64 1/6 (*.f64 (pow.f64 re 6) (pow.f64 (log.f64 re) 2)))))) (+.f64 (/.f64 1 (log.f64 re)) (fma.f64 -1/2 (/.f64 (*.f64 im im) (*.f64 (*.f64 re re) (pow.f64 (log.f64 re) 2))) (*.f64 (pow.f64 im 4) (+.f64 (/.f64 1/4 (*.f64 (pow.f64 re 4) (pow.f64 (log.f64 re) 2))) (/.f64 1/4 (*.f64 (pow.f64 re 4) (pow.f64 (log.f64 re) 3))))))))
(+.f64 (fma.f64 (pow.f64 im 4) (+.f64 (/.f64 (/.f64 1/4 (pow.f64 re 4)) (pow.f64 (log.f64 re) 2)) (/.f64 1/4 (*.f64 (pow.f64 re 4) (pow.f64 (log.f64 re) 3)))) (*.f64 -1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (pow.f64 (log.f64 re) 2)))) (fma.f64 (neg.f64 (+.f64 (/.f64 1/6 (*.f64 (pow.f64 re 6) (pow.f64 (log.f64 re) 2))) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 (/.f64 1/4 (pow.f64 re 4)) (pow.f64 (log.f64 re) 2)) (/.f64 1/4 (*.f64 (pow.f64 re 4) (pow.f64 (log.f64 re) 3)))) (*.f64 re (*.f64 re (log.f64 re)))) (/.f64 (/.f64 1/8 (pow.f64 re 6)) (pow.f64 (log.f64 re) 3))))) (pow.f64 im 6) (/.f64 1 (log.f64 re))))
(+.f64 (/.f64 1 (log.f64 re)) (-.f64 (fma.f64 (pow.f64 im 4) (+.f64 (/.f64 1/4 (*.f64 (pow.f64 re 4) (pow.f64 (log.f64 re) 2))) (/.f64 1/4 (*.f64 (pow.f64 re 4) (pow.f64 (log.f64 re) 3)))) (/.f64 (/.f64 -1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (pow.f64 (log.f64 re) 2))) (*.f64 (pow.f64 im 6) (+.f64 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (pow.f64 re 4) (pow.f64 (log.f64 re) 2))) (/.f64 1/8 (*.f64 (pow.f64 re 4) (pow.f64 (log.f64 re) 3)))) (*.f64 (*.f64 re re) (log.f64 re))) (+.f64 (/.f64 1/8 (*.f64 (pow.f64 re 6) (pow.f64 (log.f64 re) 3))) (/.f64 1/6 (*.f64 (pow.f64 re 6) (pow.f64 (log.f64 re) 2))))))))
(/.f64 -1 (log.f64 (/.f64 1 im)))
(/.f64 -1 (neg.f64 (log.f64 im)))
(-.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 2)))) (/.f64 1 (log.f64 (/.f64 1 im))))
(-.f64 (*.f64 -1/2 (/.f64 (/.f64 (*.f64 re re) (pow.f64 (neg.f64 (log.f64 im)) 2)) (*.f64 im im))) (/.f64 1 (neg.f64 (log.f64 im))))
(fma.f64 -1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (pow.f64 (log.f64 im) 2))) (/.f64 -1 (neg.f64 (log.f64 im))))
(fma.f64 -1/2 (/.f64 re (*.f64 (*.f64 im im) (/.f64 (pow.f64 (log.f64 im) 2) re))) (/.f64 -1 (neg.f64 (log.f64 im))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 im)) 3))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 im)) 2)))) (pow.f64 im 4)))) (/.f64 1 (log.f64 (/.f64 1 im))))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 (*.f64 re re) (pow.f64 (neg.f64 (log.f64 im)) 2)) (*.f64 im im)) (neg.f64 (/.f64 (fma.f64 1/4 (/.f64 (pow.f64 re 4) (pow.f64 (neg.f64 (log.f64 im)) 3)) (/.f64 (*.f64 -1/4 (pow.f64 re 4)) (pow.f64 (neg.f64 (log.f64 im)) 2))) (pow.f64 im 4)))) (/.f64 1 (neg.f64 (log.f64 im))))
(fma.f64 -1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (pow.f64 (log.f64 im) 2))) (fma.f64 -1 (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 im) 2)) (/.f64 (*.f64 (pow.f64 re 4) 1/4) (pow.f64 (neg.f64 (log.f64 im)) 3))) (pow.f64 im 4)) (/.f64 -1 (neg.f64 (log.f64 im)))))
(fma.f64 -1/2 (/.f64 re (*.f64 (*.f64 im im) (/.f64 (pow.f64 (log.f64 im) 2) re))) (fma.f64 -1 (/.f64 (*.f64 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 im) 2)) (+.f64 (/.f64 1/4 (neg.f64 (log.f64 im))) -1/4)) (pow.f64 im 4)) (/.f64 -1 (neg.f64 (log.f64 im)))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 im)) 3))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 im)) 2)))) (pow.f64 im 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (pow.f64 (log.f64 (/.f64 1 im)) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 im)) 3))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 im)) 2)))) (pow.f64 re 2)) (log.f64 (/.f64 1 im)))) (*.f64 -1/8 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 (/.f64 1 im)) 3))))) (pow.f64 im 6))))) (/.f64 1 (log.f64 (/.f64 1 im))))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 (*.f64 re re) (pow.f64 (neg.f64 (log.f64 im)) 2)) (*.f64 im im)) (*.f64 -1 (+.f64 (/.f64 (fma.f64 1/4 (/.f64 (pow.f64 re 4) (pow.f64 (neg.f64 (log.f64 im)) 3)) (/.f64 (*.f64 -1/4 (pow.f64 re 4)) (pow.f64 (neg.f64 (log.f64 im)) 2))) (pow.f64 im 4)) (/.f64 (fma.f64 1/720 (/.f64 (*.f64 (pow.f64 re 6) 120) (pow.f64 (neg.f64 (log.f64 im)) 2)) (fma.f64 1/2 (/.f64 (fma.f64 1/4 (/.f64 (pow.f64 re 4) (pow.f64 (neg.f64 (log.f64 im)) 3)) (/.f64 (*.f64 -1/4 (pow.f64 re 4)) (pow.f64 (neg.f64 (log.f64 im)) 2))) (/.f64 (neg.f64 (log.f64 im)) (*.f64 re re))) (/.f64 (*.f64 -1/8 (pow.f64 re 6)) (pow.f64 (neg.f64 (log.f64 im)) 3)))) (pow.f64 im 6))))) (/.f64 1 (neg.f64 (log.f64 im))))
(fma.f64 -1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (pow.f64 (log.f64 im) 2))) (fma.f64 -1 (+.f64 (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 im) 2)) (/.f64 (*.f64 (pow.f64 re 4) 1/4) (pow.f64 (neg.f64 (log.f64 im)) 3))) (pow.f64 im 4)) (/.f64 (fma.f64 1/720 (/.f64 (pow.f64 re 6) (/.f64 (pow.f64 (log.f64 im) 2) 120)) (fma.f64 1/2 (*.f64 (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 im) 2)) (/.f64 (*.f64 (pow.f64 re 4) 1/4) (pow.f64 (neg.f64 (log.f64 im)) 3))) (neg.f64 (log.f64 im))) (*.f64 re re)) (*.f64 -1/8 (/.f64 (pow.f64 re 6) (pow.f64 (neg.f64 (log.f64 im)) 3))))) (pow.f64 im 6))) (/.f64 -1 (neg.f64 (log.f64 im)))))
(fma.f64 -1/2 (/.f64 re (*.f64 (*.f64 im im) (/.f64 (pow.f64 (log.f64 im) 2) re))) (fma.f64 -1 (+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 im) 2)) (+.f64 (/.f64 1/4 (neg.f64 (log.f64 im))) -1/4)) (pow.f64 im 4)) (/.f64 (fma.f64 1/720 (/.f64 (*.f64 (pow.f64 re 6) 120) (pow.f64 (log.f64 im) 2)) (fma.f64 1/2 (*.f64 (/.f64 re (neg.f64 (/.f64 (log.f64 im) re))) (*.f64 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 im) 2)) (+.f64 (/.f64 1/4 (neg.f64 (log.f64 im))) -1/4))) (/.f64 -1/8 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 re 6))))) (pow.f64 im 6))) (/.f64 -1 (neg.f64 (log.f64 im)))))
(/.f64 -1 (log.f64 (/.f64 -1 im)))
(-.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 im 2)))) (/.f64 1 (log.f64 (/.f64 -1 im))))
(-.f64 (*.f64 -1/2 (/.f64 (/.f64 (*.f64 re re) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (*.f64 im im))) (/.f64 1 (log.f64 (/.f64 -1 im))))
(fma.f64 -1/2 (/.f64 re (/.f64 (*.f64 (*.f64 im im) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) re)) (/.f64 -1 (log.f64 (/.f64 -1 im))))
(fma.f64 -1/2 (/.f64 (/.f64 (*.f64 re re) (*.f64 im im)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (/.f64 -1 (log.f64 (/.f64 -1 im))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))) (pow.f64 im 4)))) (/.f64 1 (log.f64 (/.f64 -1 im))))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 (*.f64 re re) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (*.f64 im im)) (neg.f64 (/.f64 (fma.f64 1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 3)) (/.f64 (*.f64 -1/4 (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))) (pow.f64 im 4)))) (/.f64 1 (log.f64 (/.f64 -1 im))))
(fma.f64 -1/2 (/.f64 re (/.f64 (*.f64 (*.f64 im im) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) re)) (fma.f64 -1 (/.f64 (fma.f64 1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 3)) (/.f64 (*.f64 -1/4 (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))) (pow.f64 im 4)) (/.f64 -1 (log.f64 (/.f64 -1 im)))))
(fma.f64 -1/2 (/.f64 (/.f64 (*.f64 re re) (*.f64 im im)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (fma.f64 -1 (/.f64 (*.f64 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (+.f64 (/.f64 1/4 (log.f64 (/.f64 -1 im))) -1/4)) (pow.f64 im 4)) (/.f64 -1 (log.f64 (/.f64 -1 im)))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))) (pow.f64 im 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (log.f64 (/.f64 -1 im)))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (pow.f64 im 6))))) (/.f64 1 (log.f64 (/.f64 -1 im))))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 (*.f64 re re) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (*.f64 im im)) (*.f64 -1 (+.f64 (/.f64 (fma.f64 1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 3)) (/.f64 (*.f64 -1/4 (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))) (pow.f64 im 4)) (/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (/.f64 (log.f64 (/.f64 -1 im)) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 3)) (/.f64 (*.f64 -1/4 (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (fma.f64 -1/8 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 (/.f64 -1 im)) 3)) (*.f64 1/720 (/.f64 (*.f64 (pow.f64 re 6) 120) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (pow.f64 im 6))))) (/.f64 1 (log.f64 (/.f64 -1 im))))
(fma.f64 -1/2 (/.f64 re (/.f64 (*.f64 (*.f64 im im) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) re)) (fma.f64 -1 (+.f64 (/.f64 (fma.f64 1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 3)) (/.f64 (*.f64 -1/4 (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))) (pow.f64 im 4)) (/.f64 (fma.f64 1/2 (*.f64 (/.f64 (*.f64 re re) (log.f64 (/.f64 -1 im))) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 3)) (/.f64 (*.f64 -1/4 (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))) (fma.f64 -1/8 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 (/.f64 -1 im)) 3)) (/.f64 (*.f64 (*.f64 1/720 (pow.f64 re 6)) 120) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))) (pow.f64 im 6))) (/.f64 -1 (log.f64 (/.f64 -1 im)))))
(fma.f64 -1/2 (/.f64 (/.f64 (*.f64 re re) (*.f64 im im)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (fma.f64 -1 (+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (+.f64 (/.f64 1/4 (log.f64 (/.f64 -1 im))) -1/4)) (pow.f64 im 4)) (/.f64 (fma.f64 1/2 (*.f64 (/.f64 (*.f64 re re) (log.f64 (/.f64 -1 im))) (*.f64 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (+.f64 (/.f64 1/4 (log.f64 (/.f64 -1 im))) -1/4))) (fma.f64 1/720 (*.f64 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) 120) (*.f64 (/.f64 -1/8 (pow.f64 (log.f64 (/.f64 -1 im)) 3)) (pow.f64 re 6)))) (pow.f64 im 6))) (/.f64 -1 (log.f64 (/.f64 -1 im)))))

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
0.2b
(/.f64 (log.f64 base) (log.f64 im))
Compiler

Compiled 22 to 9 computations (59.1% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
base
@0
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
1.0ms
im
@-inf
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
1.0ms
base
@-inf
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
1.0ms
base
@inf
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
1.0ms
im
@inf
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))

rewrite114.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
753×pow1_binary64
693×add-log-exp_binary64
693×log1p-expm1-u_binary64
693×expm1-log1p-u_binary64
677×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0811
11598
219658
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 im) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (log.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (log.f64 im)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 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 im) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) 1) (log.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (cbrt.f64 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))))))

simplify143.0ms (1%)

Algorithm
1×egg-herbie
Rules
1221×div-sub_binary64
331×sub-neg_binary64
311×associate-/r*_binary64
282×distribute-rgt-in_binary64
261×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027192
151192
278192
3167192
4448192
51541192
64769192
75932192
86465192
96741192
106919192
117024192
Stop Event
1×node limit
Counts
60 → 41
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
Outputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))

localize42.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1) (log.f64 im))
0.3b
(/.f64 1 (log.f64 base))
✓5.9b
(-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1)
Compiler

Compiled 39 to 25 computations (35.9% saved)

series5.0ms (0%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
base
@0
(-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1)
1.0ms
base
@inf
(-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1)
1.0ms
base
@-inf
(-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1)
0.0ms
im
@-inf
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1) (log.f64 im))
0.0ms
base
@-inf
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1) (log.f64 im))

rewrite114.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1001×pow1_binary64
930×add-log-exp_binary64
930×log1p-expm1-u_binary64
930×expm1-log1p-u_binary64
108×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01029
121217
2288917
Stop Event
1×node limit
Counts
2 → 69
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1)
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1) (log.f64 im))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 1 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 1 (log.f64 base)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 (log.f64 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (log.f64 base)) -1) 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 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 2) (+.f64 (/.f64 1 (log.f64 base)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 2) -1) (/.f64 1 (+.f64 (/.f64 1 (log.f64 base)) 2)))))) (#(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 *.f64 (+.f64 (hypot.f64 1 (pow.f64 (log.f64 base) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (log.f64 base) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 2) (+.f64 (/.f64 1 (log.f64 base)) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (log.f64 base)) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 base) -1/2) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 2) (+.f64 (/.f64 1 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (log.f64 base))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 2) -1) (+.f64 (/.f64 1 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 2) -1) (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 2) (+.f64 (/.f64 1 (log.f64 base)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 2) -1)) (neg.f64 (+.f64 (/.f64 1 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 (log.f64 base)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 1 (log.f64 base)) -1) (+.f64 (/.f64 1 (log.f64 base)) -1)) (+.f64 (/.f64 1 (log.f64 base)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 (log.f64 base)) -1) (+.f64 (/.f64 1 (log.f64 base)) -1))) (-.f64 1 (+.f64 (/.f64 1 (log.f64 base)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(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 (/.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 pow.f64 (pow.f64 (log.f64 base) -3) 1/3)))) (#(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 (log.f64 base) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 1 (log.f64 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (log.f64 base)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (log.f64 base)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (log.f64 base) -1/2)) (hypot.f64 1 (pow.f64 (log.f64 base) -1/2)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 im) (*.f64 (+.f64 (/.f64 1 (log.f64 base)) -1) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 im) (*.f64 (log.f64 im) (+.f64 (/.f64 1 (log.f64 base)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (/.f64 1 (log.f64 base))) (log.f64 im)) (*.f64 -1 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 im) (+.f64 1 (/.f64 1 (log.f64 base)))) (*.f64 (log.f64 im) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 3) -1) (log.f64 im)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 2) (+.f64 (/.f64 1 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 2) -1) (log.f64 im)) (+.f64 (/.f64 1 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 3) -1)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 2) (+.f64 (/.f64 1 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 2) -1)) (+.f64 (/.f64 1 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 im)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log.f64 base) -2) (pow.f64 (log.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (log.f64 im) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))))))))

simplify156.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1218×div-sub_binary64
333×sub-neg_binary64
310×associate-/r*_binary64
281×distribute-rgt-in_binary64
261×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030264
154264
281264
3169264
4448264
51474264
64674264
75836264
86372264
96648264
106824264
116929264
Stop Event
1×node limit
Counts
105 → 76
Calls
Call 1
Inputs
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 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)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
Outputs
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))

localize27.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓0.2b
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
0.2b
(/.f64 (log.f64 im) (log.f64 base))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series128.0ms (0.9%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
36.0ms
im
@-inf
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
29.0ms
im
@inf
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
26.0ms
im
@0
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
17.0ms
base
@-inf
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
10.0ms
base
@0
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))

rewrite93.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
673×pow1_binary64
618×add-log-exp_binary64
618×log1p-expm1-u_binary64
618×expm1-log1p-u_binary64
604×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
114318
2168218
Stop Event
1×node limit
Counts
2 → 70
Calls
Call 1
Inputs
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (log.f64 im)) (neg.f64 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)) (log.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (log.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (log.f64 im)) (log.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (log.f64 im))) (log.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (log.f64 base) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2) (cbrt.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (log.f64 im)) 3) (pow.f64 (log.f64 (log.f64 base)) 3)) (+.f64 (*.f64 (log.f64 (log.f64 im)) (log.f64 (log.f64 im))) (+.f64 (*.f64 (log.f64 (log.f64 base)) (log.f64 (log.f64 base))) (*.f64 (log.f64 (log.f64 im)) (log.f64 (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (log.f64 im)) (log.f64 (log.f64 im))) (*.f64 (log.f64 (log.f64 base)) (log.f64 (log.f64 base)))) (+.f64 (log.f64 (log.f64 im)) (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (log.f64 im) (log.f64 base)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 (log.f64 im) (log.f64 base)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 im) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (*.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 im)) (*.f64 (sqrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 im)) (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (log.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 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 im) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 im) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 im)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (log.f64 im))) (neg.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2)) (cbrt.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))) (sqrt.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))))))

simplify151.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
455×div-sub_binary64
409×sub-neg_binary64
333×unsub-neg_binary64
315×distribute-neg-in_binary64
310×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031416
165416
2107352
3223352
4609352
51933352
65489352
76971352
87722352
Stop Event
1×node limit
Counts
110 → 79
Calls
Call 1
Inputs
(log.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(log.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)))
(log.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(log.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(log.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(log.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(log.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(log.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(log.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(log.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
Outputs
(log.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(log.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(log.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base)))
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(log.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(log.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base)))
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(log.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(log.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base)))
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(log.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(log.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base)))
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)))
(log.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(log.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base)))
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)))
(log.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(log.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base)))
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)))
(log.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(log.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base)))
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)))
(log.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(log.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base)))
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(log.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(log.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base)))
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(log.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(log.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base)))
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(log.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(log.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base)))
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(log.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(log.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base)))
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(log.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(log.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base)))
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(log.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(log.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base)))
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(log.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(log.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base)))
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(log.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(log.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base)))
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))

localize50.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 im))
0.3b
(/.f64 1 (log.f64 base))
✓0.6b
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
✓0.7b
(pow.f64 (/.f64 1 (log.f64 base)) 3)
Compiler

Compiled 38 to 24 computations (36.8% saved)

series6.0ms (0%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
base
@-inf
(pow.f64 (/.f64 1 (log.f64 base)) 3)
1.0ms
base
@0
(pow.f64 (/.f64 1 (log.f64 base)) 3)
1.0ms
base
@inf
(pow.f64 (/.f64 1 (log.f64 base)) 3)
0.0ms
base
@0
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
0.0ms
base
@inf
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))

rewrite137.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
829×pow1_binary64
774×add-log-exp_binary64
773×log1p-expm1-u_binary64
773×expm1-log1p-u_binary64
755×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01126
122320
2226820
Stop Event
1×node limit
Counts
3 → 71
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 (log.f64 base)) 3)
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 im))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (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 (/.f64 1 (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 (pow.f64 (log.f64 base) -2) (/.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))) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (pow.f64 (log.f64 base) -1/2) (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 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 3) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 3) (pow.f64 (pow.f64 (log.f64 base) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 base) -2) 1) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 base) -2) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 base) -2) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (log.f64 base) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (log.f64 base) 3) 1))))) (#(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 -1 (pow.f64 (neg.f64 (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (pow.f64 (log.f64 base) -2)) (neg.f64 (log.f64 base)))))) (#(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) -1) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (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 cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) -3) 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 log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -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 -.f64 (+.f64 1 (/.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 (/.f64 1 (cbrt.f64 (log.f64 base))) (pow.f64 (pow.f64 (log.f64 base) -2) 1/3))))) (#(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 *.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 1/3) (/.f64 1 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log.f64 base) -3/2) 1/3) (pow.f64 (pow.f64 (log.f64 base) -3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 base) -1/2) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(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 (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 expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 im) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (log.f64 im)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) -1) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (log.f64 im) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))))))

simplify59.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
782×unsub-neg_binary64
711×fma-neg_binary64
637×fma-def_binary64
527×distribute-rgt-in_binary64
471×div-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037372
179372
2157372
3438372
41505372
55922372
Stop Event
1×node limit
Counts
119 → 79
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (log.f64 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))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 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)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
Outputs
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))

eval237.0ms (1.7%)

Compiler

Compiled 10149 to 5683 computations (44% saved)

prune170.0ms (1.2%)

Pruning

27 alts after pruning (19 fresh and 8 done)

PrunedKeptTotal
New5929601
Fresh71017
Picked101
Done189
Total60127628
Error
0b
Counts
628 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.7b
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
32.1b
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
30.4b
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -3)) (log.f64 im))
32.1b
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 -1 (log.f64 (/.f64 -1 re))))
0.8b
(/.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -3)))
30.3b
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
✓0.4b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
✓30.2b
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
0.7b
(-.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
30.3b
(/.f64 1 (-.f64 (+.f64 1 (/.f64 (log.f64 base) (log.f64 im))) 1))
✓30.2b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
✓30.2b
(/.f64 (log.f64 im) (log.f64 base))
0.5b
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)))
✓46.5b
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
30.4b
(+.f64 1 (-.f64 (/.f64 (log.f64 im) (log.f64 base)) 1))
✓0.3b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
0.9b
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))))
30.3b
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
32.1b
(/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))))
30.2b
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
0.5b
(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)))
1.3b
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 1))
✓32.9b
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1) (log.f64 im))
0.7b
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -3)) (log.f64 (hypot.f64 re im)))
30.7b
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
30.3b
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 im)))))
46.5b
(exp.f64 (neg.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im)))))
Compiler

Compiled 328 to 262 computations (20.1% saved)

regimes430.0ms (3.1%)

Counts
75 → 1
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(+.f64 1 (-.f64 (/.f64 (log.f64 im) (log.f64 base)) 1))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 -1 (log.f64 (/.f64 -1 re))))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 (log.f64 base) (log.f64 im))) 1))
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1) (log.f64 im))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 im)))))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(pow.f64 (-.f64 (+.f64 1 (/.f64 (log.f64 base) (log.f64 im))) 1) -1)
(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(-.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
(-.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 (*.f64 (/.f64 re (log.f64 base)) (/.f64 (/.f64 re im) im)) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im)))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -3)) (log.f64 im))
(exp.f64 (neg.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (log.f64 im))
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 im)))) -1)
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 im))
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 1))
(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
(pow.f64 (-.f64 (+.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1) -1)
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -3)) (log.f64 (hypot.f64 re im)))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3))
(cbrt.f64 (pow.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))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) -1)
(*.f64 (pow.f64 (pow.f64 (log.f64 base) -1/2) 2) (log.f64 (hypot.f64 re im)))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(/.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -3)))
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 3))
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (neg.f64 (pow.f64 (log.f64 base) 2))))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 3) -1)
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1)
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(/.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 base) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) 6)) (pow.f64 (log.f64 base) 4))
(/.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) (*.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Calls

5 calls:

141.0ms
re
111.0ms
base
62.0ms
im
52.0ms
(/.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)))
40.0ms
(log.f64 base)
Results
ErrorSegmentsBranch
0.3b1re
0.3b1im
0.3b1base
0.3b1(/.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)))
0.3b1(log.f64 base)
Compiler

Compiled 870 to 389 computations (55.3% saved)

regimes574.0ms (4.1%)

Counts
21 → 2
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(+.f64 1 (-.f64 (/.f64 (log.f64 im) (log.f64 base)) 1))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 -1 (log.f64 (/.f64 -1 re))))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 (log.f64 base) (log.f64 im))) 1))
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1) (log.f64 im))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
Outputs
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
Calls

5 calls:

191.0ms
(log.f64 base)
185.0ms
(log.f64 base)
125.0ms
base
36.0ms
re
31.0ms
im
Results
ErrorSegmentsBranch
8.5b2re
7.9b2im
17.9b11base
17.9b11(log.f64 base)
17.9b11(log.f64 base)
Compiler

Compiled 203 to 120 computations (40.9% saved)

bsearch76.0ms (0.5%)

Algorithm
1×binary-search
Steps
TimeLeftRight
76.0ms
1.2628642042568087e-207
1.2170462220618927e-206
Compiler

Compiled 37 to 25 computations (32.4% saved)

regimes379.0ms (2.7%)

Counts
11 → 2
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(+.f64 1 (-.f64 (/.f64 (log.f64 im) (log.f64 base)) 1))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
Outputs
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
Calls

4 calls:

222.0ms
(log.f64 base)
80.0ms
base
40.0ms
re
33.0ms
im
Results
ErrorSegmentsBranch
8.5b2re
7.9b2im
17.9b11base
17.9b11(log.f64 base)
Compiler

Compiled 109 to 62 computations (43.1% saved)

bsearch92.0ms (0.7%)

Algorithm
1×binary-search
Steps
TimeLeftRight
91.0ms
1.2628642042568087e-207
1.2170462220618927e-206
Compiler

Compiled 37 to 25 computations (32.4% saved)

regimes23.0ms (0.2%)

Accuracy

Total -0.1b remaining (-0.5%)

Threshold costs -0.1b (-0.5%)

Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
Outputs
(/.f64 (log.f64 im) (log.f64 base))
Calls

4 calls:

10.0ms
im
4.0ms
re
4.0ms
(log.f64 base)
4.0ms
base
Results
ErrorSegmentsBranch
30.2b1re
30.2b1im
30.2b1base
30.2b1(log.f64 base)
Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify7.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02578
13378
24078
34678
45078
55178
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(if (<=.f64 im 7303876896305507/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(if (<=.f64 im 7303876896305507/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(if (<=.f64 im 7303876896305507/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(if (<=.f64 im 7303876896305507/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (neg.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(if (<=.f64 im 7303876896305507/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) (neg.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(if (<=.f64 im 7303876896305507/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(if (<=.f64 im 7303876896305507/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
Compiler

Compiled 61 to 45 computations (26.2% saved)

soundness192.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
666×fma-def_binary64
535×associate-/l/_binary64
532×sqr-pow_binary64
531×cube-prod_binary64
519×cube-div_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01922
13121
23821
34914
46611
57511
622011
792211
8152811
9174511
10224211
11273311
12362411
13563611
14682211
15738211
Stop Event
1×node limit
Compiler

Compiled 194 to 121 computations (37.6% saved)

end76.0ms (0.5%)

Remove

(sort re im)

Compiler

Compiled 72 to 44 computations (38.9% saved)

Profiling

Loading profile data...