Details

Time bar (total: 13.7s)

analyze446.0ms (3.2%)

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)

sample2.4s (17.6%)

Results
2.0s8256×body256valid
407.0ms1919×body256invalid

preprocess81.0ms (0.6%)

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)

simplify86.0ms (0.6%)

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))

eval1.0ms (0%)

Compiler

Compiled 38 to 23 computations (39.5% saved)

prune2.0ms (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))
▶33.5b
(/.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)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 22 to 7 computations (68.2% saved)

series84.0ms (0.6%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
47.0ms
base
@0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
14.0ms
base
@-inf
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
8.0ms
base
@inf
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
4.0ms
re
@0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
2.0ms
re
@inf
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

rewrite82.0ms (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
0815
115815
2194615
Stop Event
1×node limit
Counts
2 → 52
Calls
Call 1
Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(hypot.f64 re im)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.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))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (hypot.f64 re im) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 re im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 re im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 re im) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 re im) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 re im)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 re im)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 re im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 re im) 3))))) (#(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)))))))

simplify91.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
980×times-frac_binary64
592×fma-def_binary64
564×associate-/r*_binary64
518×cancel-sign-sub-inv_binary64
484×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01641638
14631518
213781470
372291470
Stop Event
1×node limit
Counts
112 → 125
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 base) (pow.f64 im 6)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(*.f64 -1 re)
(+.f64 (*.f64 -1 re) (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)))
(+.f64 (*.f64 -1 re) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (*.f64 -1/2 (/.f64 (pow.f64 im 2) re))))
(+.f64 (*.f64 -1 re) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)))))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
(*.f64 -1 im)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 im))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 im)))
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 im))))
Outputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im)))))
(fma.f64 1/2 (/.f64 (/.f64 (*.f64 re re) (log.f64 base)) (*.f64 im 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 (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 (*.f64 re re) (log.f64 base)) (*.f64 im im)) (*.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 im 4)))))
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 (/.f64 re im) im)) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 im 4)) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (/.f64 (*.f64 re re) (log.f64 base)) (*.f64 im im)) (*.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 im 4))))))
(fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 base)) (pow.f64 im 6)) (fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 (/.f64 re im) im)) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 im 4)) (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re)))))
(-.f64 (*.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re))) (/.f64 (neg.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 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (*.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 1/2 (*.f64 (/.f64 im (*.f64 (log.f64 base) (*.f64 re re))) im) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 base)) (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re))) (*.f64 1/720 (/.f64 (*.f64 (pow.f64 im 6) 120) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (fma.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re)) (*.f64 1/720 (/.f64 (/.f64 (*.f64 (pow.f64 im 6) 120) (pow.f64 re 6)) (log.f64 base)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (fma.f64 1/2 (*.f64 (/.f64 im (*.f64 (log.f64 base) (*.f64 re re))) im) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 base)) (*.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (/.f64 1/6 (log.f64 base))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re)))))
(-.f64 (*.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (*.f64 (/.f64 (*.f64 im im) (log.f64 base)) (/.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 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (*.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (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) (pow.f64 re 4)) (log.f64 base)) (*.f64 (/.f64 (*.f64 im im) (log.f64 base)) (/.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 (*.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 (*.f64 im im) (log.f64 base)) (*.f64 re re)) (*.f64 1/720 (/.f64 (/.f64 (*.f64 (pow.f64 im 6) 120) (pow.f64 re 6)) (log.f64 base)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 im (*.f64 (log.f64 base) (*.f64 re re))) im) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 base)) (*.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (/.f64 1/6 (log.f64 base))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (log.f64 re) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re)))))
(-.f64 (*.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re))) (/.f64 (neg.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 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (*.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 1/2 (*.f64 (/.f64 im (*.f64 (log.f64 base) (*.f64 re re))) im) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 base)) (/.f64 (log.f64 re) (log.f64 base))))
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(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)))))))
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re
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im
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(fma.f64 1/2 (*.f64 (/.f64 re im) re) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) 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 1/2 (*.f64 (/.f64 re im) re) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(*.f64 -1 im)
(neg.f64 im)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 im))
(fma.f64 -1/2 (/.f64 (*.f64 re re) im) (neg.f64 im))
(fma.f64 (/.f64 re (/.f64 im re)) -1/2 (neg.f64 im))
(-.f64 (*.f64 (*.f64 (/.f64 re im) re) -1/2) im)
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 im)))
(fma.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 -1/2 (/.f64 (*.f64 re re) im) (neg.f64 im)))
(fma.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) 1/8 (fma.f64 (/.f64 re (/.f64 im re)) -1/2 (neg.f64 im)))
(-.f64 (fma.f64 (*.f64 (/.f64 re im) re) -1/2 (*.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) 1/8)) im)
(-.f64 (*.f64 (*.f64 (/.f64 re im) re) -1/2) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) im))
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 im))))
(fma.f64 -1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) (fma.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 -1/2 (/.f64 (*.f64 re re) im) (neg.f64 im))))
(fma.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) -1/16 (fma.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) 1/8 (fma.f64 (/.f64 re (/.f64 im re)) -1/2 (neg.f64 im))))
(fma.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) -1/16 (-.f64 (fma.f64 (*.f64 (/.f64 re im) re) -1/2 (*.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) 1/8)) im))
(-.f64 (fma.f64 (*.f64 (/.f64 re im) re) -1/2 (*.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) 1/8)) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im))

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(/.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))
✓30.8b
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Compiler

Compiled 122 to 33 computations (73% saved)

series31.0ms (0.2%)

Counts
4 → 108
Calls

27 calls:

TimeVariablePointExpression
9.0ms
im
@-inf
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
8.0ms
base
@0
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
1.0ms
re
@inf
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
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))

rewrite110.0ms (0.8%)

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) 2) (pow.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 base) 4) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 base) 6) (pow.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (log.f64 base) 6)) (neg.f64 (pow.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 base) 4)) (neg.f64 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (log.f64 base) 4)) (neg.f64 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 base) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 base) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 base) (log.f64 base) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 base) (log.f64 base) (neg.f64 (/.f64 0 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (log.f64 base) 2) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (log.f64 base) 2) 1 (neg.f64 (/.f64 0 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (log.f64 base) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (log.f64 base) 2) (neg.f64 (/.f64 0 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (log.f64 base) 4) (pow.f64 (log.f64 base) -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (log.f64 base) 4) (pow.f64 (log.f64 base) -2) (neg.f64 (/.f64 0 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (log.f64 base) 6) (/.f64 1 (pow.f64 (log.f64 base) 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (log.f64 base) 6) (/.f64 1 (pow.f64 (log.f64 base) 4)) (neg.f64 (/.f64 0 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4)) (neg.f64 (/.f64 0 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (log.f64 base)) (neg.f64 (/.f64 0 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (pow.f64 (cbrt.f64 (log.f64 base)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (pow.f64 (cbrt.f64 (log.f64 base)) 2) (neg.f64 (/.f64 0 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)) (neg.f64 (/.f64 0 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 base) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 base) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)) (neg.f64 (/.f64 0 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)) (neg.f64 (/.f64 0 (pow.f64 (log.f64 base) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (log.f64 base))))) (log.f64 (cbrt.f64 (pow.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) (log.f64 base)))) (log.f64 (sqrt.f64 (pow.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))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (/.f64 0 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re 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simplify110.0ms (0.8%)

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))
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(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))

eval186.0ms (1.4%)

Compiler

Compiled 11752 to 5651 computations (51.9% saved)

prune109.0ms (0.8%)

Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New40323426
Fresh000
Picked101
Done011
Total40424428
Error
0b
Counts
428 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
1.2b
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
1.3b
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
0.6b
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) (pow.f64 (log.f64 base) 6)))
15.7b
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
1.3b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (log.f64 base)))
0.6b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
▶0.4b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
✓0.3b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
0.6b
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
0.5b
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
▶45.1b
(/.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 3) 1/3)) (log.f64 base))
30.9b
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (log.f64 base)) 2)
30.8b
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
▶32.8b
(/.f64 (log.f64 im) (log.f64 base))
1.3b
(*.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)))
1.3b
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
0.6b
(-.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
29.2b
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
33.4b
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
▶0.6b
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
0.4b
(neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (neg.f64 (pow.f64 (log.f64 base) 2))))
▶0.4b
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
30.7b
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
29.4b
(/.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 (/.f64 re im) im)) re)) (log.f64 base))
Compiler

Compiled 720 to 503 computations (30.1% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 29 to 12 computations (58.6% saved)

series7.0ms (0%)

Counts
2 → 44
Calls

12 calls:

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

rewrite63.0ms (0.5%)

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))))))))

simplify79.0ms (0.6%)

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))))
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(+.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))

localize9.0ms (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)

series96.0ms (0.7%)

Counts
1 → 16
Calls

6 calls:

TimeVariablePointExpression
56.0ms
im
@0
(/.f64 (log.f64 im) (log.f64 base))
17.0ms
base
@0
(/.f64 (log.f64 im) (log.f64 base))
11.0ms
im
@inf
(/.f64 (log.f64 im) (log.f64 base))
10.0ms
im
@-inf
(/.f64 (log.f64 im) (log.f64 base))
1.0ms
base
@-inf
(/.f64 (log.f64 im) (log.f64 base))

rewrite50.0ms (0.4%)

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))))))))

simplify123.0ms (0.9%)

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))

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 re im)
✓0.2b
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
✓0.4b
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
Compiler

Compiled 32 to 10 computations (68.8% saved)

series30.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

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

rewrite66.0ms (0.5%)

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 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 (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))))))))

simplify137.0ms (1%)

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))))
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(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 1/2 (/.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
(/.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))))
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(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)))

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (hypot.f64 re im) 3)
0.0b
(hypot.f64 re im)
✓0.3b
(/.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 3) 1/3)) (log.f64 base))
✓43.6b
(pow.f64 (pow.f64 (hypot.f64 re im) 3) 1/3)
Compiler

Compiled 44 to 24 computations (45.5% saved)

series48.0ms (0.3%)

Counts
3 → 84
Calls

21 calls:

TimeVariablePointExpression
10.0ms
base
@0
(/.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 3) 1/3)) (log.f64 base))
4.0ms
im
@0
(pow.f64 (pow.f64 (hypot.f64 re im) 3) 1/3)
4.0ms
re
@-inf
(/.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 3) 1/3)) (log.f64 base))
3.0ms
base
@inf
(/.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 3) 1/3)) (log.f64 base))
3.0ms
im
@0
(/.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 3) 1/3)) (log.f64 base))

rewrite77.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
502×log-prod_binary64
383×exp-prod_binary64
274×pow2_binary64
262×prod-exp_binary64
257×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01222
125822
2273022
Stop Event
1×node limit
Counts
3 → 120
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (hypot.f64 re im) 3) 1/3)
(/.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 3) 1/3)) (log.f64 base))
(pow.f64 (hypot.f64 re im) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))) 2)) (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 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (exp.f64 1/3) (*.f64 2 (log.f64 (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 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1/3) (*.f64 2 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1/3) (*.f64 3/2 (log.f64 (hypot.f64 re im)))) (pow.f64 (exp.f64 1/3) (*.f64 3/2 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (cbrt.f64 (hypot.f64 re im))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))) (pow.f64 (exp.f64 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 re im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 re im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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 exp.f64 (*.f64 (*.f64 6 (log.f64 (hypot.f64 re im))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (hypot.f64 re im))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (hypot.f64 re im))) 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 3 (log.f64 (hypot.f64 re im))) 1/6) (log.f64 (sqrt.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (*.f64 (*.f64 3 (log.f64 (hypot.f64 re im))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 3 (log.f64 (hypot.f64 re im))) 1/6) (*.f64 (*.f64 3 (log.f64 (hypot.f64 re im))) 1/6)))))))
((#(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 1/3 (/.f64 (*.f64 3 (log.f64 (hypot.f64 re im))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 (*.f64 3 (log.f64 (hypot.f64 re im))) (/.f64 1 (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 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 (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 (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 1/3 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (*.f64 3 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (hypot.f64 re im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 re im) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 re im) (pow.f64 (hypot.f64 re im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 re im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 re im) 2) (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 re im) 3/2) (pow.f64 (hypot.f64 re im) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 re im) 5/2) (sqrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 re im) 2) 1) (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (hypot.f64 re im) (cbrt.f64 (hypot.f64 re im))) 2) (cbrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 re im) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 re im) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 re im) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 re im) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 re im) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (hypot.f64 re im))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 re im))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (hypot.f64 re im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (hypot.f64 re im))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) 3/2) (*.f64 3/2 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 3/2 (log.f64 (hypot.f64 re im))) (*.f64 (log.f64 (hypot.f64 re im)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) 3/2) (*.f64 (log.f64 (hypot.f64 re im)) 3/2)))))))

simplify192.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
592×fma-def_binary64
349×cancel-sign-sub-inv_binary64
305×associate-+r+_binary64
295×+-commutative_binary64
276×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04635252
115454332
264044060
Stop Event
1×node limit
Counts
204 → 253
Calls
Call 1
Inputs
im
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 1/2 im) im) (pow.f64 re 2)) (pow.f64 im 2))) im)
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 im)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 im) im) 2) (pow.f64 im 3))) (*.f64 1/8 (/.f64 1 im)))) (pow.f64 re 4)) (pow.f64 im 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 1/2 im) im) (pow.f64 re 2)) (pow.f64 im 2))) im))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 im)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 im) im) 2) (pow.f64 im 3))) (*.f64 1/8 (/.f64 1 im)))) (pow.f64 re 4)) (pow.f64 im 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 re 6) (-.f64 (*.f64 1/16 (/.f64 1 (pow.f64 im 3))) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (+.f64 (*.f64 1/2 im) im) (-.f64 (*.f64 1/2 (/.f64 1 im)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 im) im) 2) (pow.f64 im 3))) (*.f64 1/8 (/.f64 1 im))))) (pow.f64 im 3))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 im 3))) (*.f64 1/27 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 im) im) 3) (pow.f64 im 6))))))) (pow.f64 im 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 1/2 im) im) (pow.f64 re 2)) (pow.f64 im 2))) im)))
re
(+.f64 re (*.f64 1/3 (/.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) re)))
(+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 -1/4 (pow.f64 im 4)) (+.f64 (*.f64 1/2 (pow.f64 im 4)) (+.f64 (*.f64 -1/8 (pow.f64 im 4)) (*.f64 1/4 (pow.f64 im 4))))) (*.f64 1/3 (pow.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) 2))) (pow.f64 re 3))) (+.f64 re (*.f64 1/3 (/.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) re))))
(+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 1/16 (pow.f64 im 6)) (+.f64 (*.f64 1/8 (pow.f64 im 6)) (+.f64 (*.f64 -1/4 (pow.f64 im 6)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 im 4)) (*.f64 1/4 (pow.f64 im 4))) (pow.f64 im 2)))))) (+.f64 (*.f64 1/3 (*.f64 (-.f64 (+.f64 (*.f64 -1/4 (pow.f64 im 4)) (+.f64 (*.f64 1/2 (pow.f64 im 4)) (+.f64 (*.f64 -1/8 (pow.f64 im 4)) (*.f64 1/4 (pow.f64 im 4))))) (*.f64 1/3 (pow.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) 2))) (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))))) (+.f64 (*.f64 1/27 (pow.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) 3)) (*.f64 1/3 (*.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) (-.f64 (+.f64 (*.f64 -1/4 (pow.f64 im 4)) (+.f64 (*.f64 1/2 (pow.f64 im 4)) (+.f64 (*.f64 -1/8 (pow.f64 im 4)) (*.f64 1/4 (pow.f64 im 4))))) (*.f64 1/3 (pow.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) 2)))))))) (pow.f64 re 5))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 -1/4 (pow.f64 im 4)) (+.f64 (*.f64 1/2 (pow.f64 im 4)) (+.f64 (*.f64 -1/8 (pow.f64 im 4)) (*.f64 1/4 (pow.f64 im 4))))) (*.f64 1/3 (pow.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) 2))) (pow.f64 re 3))) (+.f64 re (*.f64 1/3 (/.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) re)))))
(*.f64 -1 re)
(+.f64 (*.f64 -1 re) (*.f64 -1/3 (/.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) re)))
(+.f64 (*.f64 -1 re) (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (+.f64 (*.f64 -1/4 (pow.f64 im 4)) (+.f64 (*.f64 1/2 (pow.f64 im 4)) (+.f64 (*.f64 -1/8 (pow.f64 im 4)) (*.f64 1/4 (pow.f64 im 4))))) (*.f64 1/3 (pow.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) 2))) (pow.f64 re 3))) (*.f64 -1/3 (/.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) re))))
(+.f64 (*.f64 -1 re) (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (+.f64 (*.f64 -1/4 (pow.f64 im 4)) (+.f64 (*.f64 1/2 (pow.f64 im 4)) (+.f64 (*.f64 -1/8 (pow.f64 im 4)) (*.f64 1/4 (pow.f64 im 4))))) (*.f64 1/3 (pow.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) 2))) (pow.f64 re 3))) (+.f64 (*.f64 -1/3 (/.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) re)) (*.f64 -1/3 (/.f64 (-.f64 (+.f64 (*.f64 1/16 (pow.f64 im 6)) (+.f64 (*.f64 1/8 (pow.f64 im 6)) (+.f64 (*.f64 -1/4 (pow.f64 im 6)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 im 4)) (*.f64 1/4 (pow.f64 im 4))) (pow.f64 im 2)))))) (+.f64 (*.f64 1/3 (*.f64 (-.f64 (+.f64 (*.f64 -1/4 (pow.f64 im 4)) (+.f64 (*.f64 1/2 (pow.f64 im 4)) (+.f64 (*.f64 -1/8 (pow.f64 im 4)) (*.f64 1/4 (pow.f64 im 4))))) (*.f64 1/3 (pow.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) 2))) (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))))) (+.f64 (*.f64 1/27 (pow.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) 3)) (*.f64 1/3 (*.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) (-.f64 (+.f64 (*.f64 -1/4 (pow.f64 im 4)) (+.f64 (*.f64 1/2 (pow.f64 im 4)) (+.f64 (*.f64 -1/8 (pow.f64 im 4)) (*.f64 1/4 (pow.f64 im 4))))) (*.f64 1/3 (pow.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) 2)))))))) (pow.f64 re 5))))))
re
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 re (*.f64 1/2 re)) (pow.f64 im 2)) (pow.f64 re 2))) re)
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 re (*.f64 1/2 re)) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 re)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 re) re) 2) (pow.f64 re 3))) (*.f64 1/8 (/.f64 1 re)))) (pow.f64 im 4)) (pow.f64 re 2))) re))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 re (*.f64 1/2 re)) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 re)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 re) re) 2) (pow.f64 re 3))) (*.f64 1/8 (/.f64 1 re)))) (pow.f64 im 4)) (pow.f64 re 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/16 (/.f64 1 (pow.f64 re 3))) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (+.f64 (*.f64 1/2 re) re) (-.f64 (*.f64 1/2 (/.f64 1 re)) (+.f64 (*.f64 1/8 (/.f64 1 re)) (*.f64 1/3 (/.f64 (pow.f64 (+.f64 re (*.f64 1/2 re)) 2) (pow.f64 re 3)))))) (pow.f64 re 3))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 re 3))) (*.f64 1/27 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 re) re) 3) (pow.f64 re 6)))))) (pow.f64 im 6)) (pow.f64 re 2))) re)))
im
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(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
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(+.f64 (*.f64 1/3 (/.f64 (+.f64 (pow.f64 re 2) (*.f64 1/2 (pow.f64 re 2))) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/24 (/.f64 (+.f64 (*.f64 -4/3 (pow.f64 (+.f64 (pow.f64 re 2) (*.f64 1/2 (pow.f64 re 2))) 2)) (*.f64 8 (-.f64 (+.f64 (*.f64 1/2 (pow.f64 re 4)) (+.f64 (*.f64 1/4 (pow.f64 re 4)) (+.f64 (*.f64 -1/8 (pow.f64 re 4)) (*.f64 -1/4 (pow.f64 re 4))))) (*.f64 1/3 (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 re 2)) (pow.f64 re 2)) 2))))) (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(+.f64 (*.f64 1/3 (/.f64 (+.f64 (pow.f64 re 2) (*.f64 1/2 (pow.f64 re 2))) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/24 (/.f64 (+.f64 (*.f64 -4/3 (pow.f64 (+.f64 (pow.f64 re 2) (*.f64 1/2 (pow.f64 re 2))) 2)) (*.f64 8 (-.f64 (+.f64 (*.f64 1/2 (pow.f64 re 4)) (+.f64 (*.f64 1/4 (pow.f64 re 4)) (+.f64 (*.f64 -1/8 (pow.f64 re 4)) (*.f64 -1/4 (pow.f64 re 4))))) (*.f64 1/3 (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 re 2)) (pow.f64 re 2)) 2))))) (*.f64 (log.f64 base) (pow.f64 im 4)))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 -80 (*.f64 (+.f64 (pow.f64 re 2) (*.f64 1/2 (pow.f64 re 2))) (-.f64 (+.f64 (*.f64 1/2 (pow.f64 re 4)) (+.f64 (*.f64 1/4 (pow.f64 re 4)) (+.f64 (*.f64 -1/8 (pow.f64 re 4)) (*.f64 -1/4 (pow.f64 re 4))))) (*.f64 1/3 (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 re 2)) (pow.f64 re 2)) 2))))) (+.f64 (*.f64 240 (-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/4 (pow.f64 re 4)) (*.f64 -1/4 (pow.f64 re 4))))) (+.f64 (*.f64 -1/4 (pow.f64 re 6)) (+.f64 (*.f64 1/8 (pow.f64 re 6)) (*.f64 1/16 (pow.f64 re 6))))) (+.f64 (*.f64 2/3 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 re 2)) (pow.f64 re 2)) (-.f64 (+.f64 (*.f64 1/2 (pow.f64 re 4)) (+.f64 (*.f64 1/4 (pow.f64 re 4)) (+.f64 (*.f64 -1/8 (pow.f64 re 4)) (*.f64 -1/4 (pow.f64 re 4))))) (*.f64 1/3 (pow.f64 (+.f64 (pow.f64 re 2) (*.f64 1/2 (pow.f64 re 2))) 2))))) (*.f64 1/27 (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 re 2)) (pow.f64 re 2)) 3))))) (*.f64 80/9 (pow.f64 (+.f64 (pow.f64 re 2) (*.f64 1/2 (pow.f64 re 2))) 3)))) (*.f64 (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)))))
(pow.f64 im 3)
(+.f64 (pow.f64 im 3) (*.f64 (+.f64 (*.f64 1/2 im) im) (pow.f64 re 2)))
(+.f64 (pow.f64 im 3) (+.f64 (*.f64 (+.f64 (*.f64 1/2 im) im) (pow.f64 re 2)) (*.f64 3/8 (/.f64 (pow.f64 re 4) im))))
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 3))) (+.f64 (pow.f64 im 3) (+.f64 (*.f64 (+.f64 (*.f64 1/2 im) im) (pow.f64 re 2)) (*.f64 3/8 (/.f64 (pow.f64 re 4) im)))))
(pow.f64 re 3)
(+.f64 (*.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) re) (pow.f64 re 3))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 im 4) re)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) re)) (+.f64 (*.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) re) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) re)) (+.f64 (pow.f64 re 3) (*.f64 1/2 (/.f64 (pow.f64 im 4) re)))))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 im 6) (pow.f64 re 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 6) (pow.f64 re 3))) (+.f64 (pow.f64 re 3) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 im 4) re)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 im 2) (+.f64 (*.f64 -1/4 (pow.f64 im 4)) (*.f64 1/4 (pow.f64 im 4)))) (pow.f64 re 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) re)) (+.f64 (*.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) re) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 im 4) re)) (*.f64 1/2 (/.f64 (pow.f64 im 4) re)))))))))))
(*.f64 -1 (pow.f64 re 3))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) re)) (*.f64 -1 (pow.f64 re 3)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) re)) (+.f64 (*.f64 -1 (pow.f64 re 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 im 4)) (+.f64 (*.f64 1/2 (pow.f64 im 4)) (+.f64 (*.f64 1/4 (pow.f64 im 4)) (*.f64 -1/8 (pow.f64 im 4))))) re))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) re)) (+.f64 (*.f64 -1 (pow.f64 re 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 im 4)) (+.f64 (*.f64 1/2 (pow.f64 im 4)) (+.f64 (*.f64 1/4 (pow.f64 im 4)) (*.f64 -1/8 (pow.f64 im 4))))) re)) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 im 6)) (+.f64 (*.f64 1/8 (pow.f64 im 6)) (+.f64 (*.f64 -1/4 (pow.f64 im 6)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 im 4)) (*.f64 1/4 (pow.f64 im 4))) (pow.f64 im 2)))))) (pow.f64 re 3))))))
(pow.f64 re 3)
(+.f64 (pow.f64 re 3) (*.f64 (+.f64 re (*.f64 1/2 re)) (pow.f64 im 2)))
(+.f64 (pow.f64 re 3) (+.f64 (*.f64 (+.f64 re (*.f64 1/2 re)) (pow.f64 im 2)) (*.f64 3/8 (/.f64 (pow.f64 im 4) re))))
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 3))) (+.f64 (pow.f64 re 3) (+.f64 (*.f64 (+.f64 re (*.f64 1/2 re)) (pow.f64 im 2)) (*.f64 3/8 (/.f64 (pow.f64 im 4) re)))))
(pow.f64 im 3)
(+.f64 (pow.f64 im 3) (*.f64 (+.f64 (pow.f64 re 2) (*.f64 1/2 (pow.f64 re 2))) im))
(+.f64 (pow.f64 im 3) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 4) im)) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) im)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 4) im)) (+.f64 (*.f64 (+.f64 (pow.f64 re 2) (*.f64 1/2 (pow.f64 re 2))) im) (*.f64 -1/4 (/.f64 (pow.f64 re 4) im)))))))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 6) (pow.f64 im 3))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) im)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 4) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 3))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 re 6) (pow.f64 im 3))) (+.f64 (pow.f64 im 3) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 4) im)) (+.f64 (*.f64 (+.f64 (pow.f64 re 2) (*.f64 1/2 (pow.f64 re 2))) im) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/4 (pow.f64 re 4)) (*.f64 -1/4 (pow.f64 re 4)))) (pow.f64 im 3))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) im)))))))))))
(*.f64 -1 (pow.f64 im 3))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 re 2) (*.f64 1/2 (pow.f64 re 2))) im)) (*.f64 -1 (pow.f64 im 3)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 re 4)) (+.f64 (*.f64 1/2 (pow.f64 re 4)) (+.f64 (*.f64 -1/4 (pow.f64 re 4)) (*.f64 -1/8 (pow.f64 re 4))))) im)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 re 2) (*.f64 1/2 (pow.f64 re 2))) im)) (*.f64 -1 (pow.f64 im 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 re 6)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/4 (pow.f64 re 4)) (*.f64 -1/4 (pow.f64 re 4))))) (+.f64 (*.f64 1/8 (pow.f64 re 6)) (*.f64 1/16 (pow.f64 re 6))))) (pow.f64 im 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 re 4)) (+.f64 (*.f64 1/2 (pow.f64 re 4)) (+.f64 (*.f64 -1/4 (pow.f64 re 4)) (*.f64 -1/8 (pow.f64 re 4))))) im)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 re 2) (*.f64 1/2 (pow.f64 re 2))) im)) (*.f64 -1 (pow.f64 im 3)))))
Outputs
im
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 1/2 im) im) (pow.f64 re 2)) (pow.f64 im 2))) im)
(fma.f64 1/3 (/.f64 (*.f64 3/2 im) (/.f64 (*.f64 im im) (*.f64 re re))) im)
(fma.f64 1/3 (*.f64 (/.f64 (*.f64 im 3/2) im) (/.f64 (*.f64 re re) im)) im)
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 im)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 im) im) 2) (pow.f64 im 3))) (*.f64 1/8 (/.f64 1 im)))) (pow.f64 re 4)) (pow.f64 im 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 1/2 im) im) (pow.f64 re 2)) (pow.f64 im 2))) im))
(fma.f64 1/3 (/.f64 (-.f64 (/.f64 1/2 im) (fma.f64 1/3 (/.f64 (pow.f64 (*.f64 3/2 im) 2) (pow.f64 im 3)) (/.f64 1/8 im))) (/.f64 (*.f64 im im) (pow.f64 re 4))) (fma.f64 1/3 (/.f64 (*.f64 3/2 im) (/.f64 (*.f64 im im) (*.f64 re re))) im))
(fma.f64 1/3 (*.f64 (/.f64 (-.f64 (/.f64 1/2 im) (fma.f64 1/3 (/.f64 (*.f64 9/4 (*.f64 im im)) (pow.f64 im 3)) (/.f64 1/8 im))) (*.f64 im im)) (pow.f64 re 4)) (fma.f64 1/3 (*.f64 (/.f64 (*.f64 im 3/2) im) (/.f64 (*.f64 re re) im)) im))
(fma.f64 1/3 (*.f64 (/.f64 (-.f64 (/.f64 1/2 im) (fma.f64 1/3 (/.f64 (*.f64 (*.f64 im im) 9/4) (pow.f64 im 3)) (/.f64 1/8 im))) (*.f64 im im)) (pow.f64 re 4)) (fma.f64 1/3 (*.f64 (/.f64 (*.f64 im 3/2) im) (/.f64 (*.f64 re re) im)) im))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 im)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 im) im) 2) (pow.f64 im 3))) (*.f64 1/8 (/.f64 1 im)))) (pow.f64 re 4)) (pow.f64 im 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 re 6) (-.f64 (*.f64 1/16 (/.f64 1 (pow.f64 im 3))) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (+.f64 (*.f64 1/2 im) im) (-.f64 (*.f64 1/2 (/.f64 1 im)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 im) im) 2) (pow.f64 im 3))) (*.f64 1/8 (/.f64 1 im))))) (pow.f64 im 3))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 im 3))) (*.f64 1/27 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 im) im) 3) (pow.f64 im 6))))))) (pow.f64 im 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 1/2 im) im) (pow.f64 re 2)) (pow.f64 im 2))) im)))
(fma.f64 1/3 (/.f64 (-.f64 (/.f64 1/2 im) (fma.f64 1/3 (/.f64 (pow.f64 (*.f64 3/2 im) 2) (pow.f64 im 3)) (/.f64 1/8 im))) (/.f64 (*.f64 im im) (pow.f64 re 4))) (fma.f64 1/3 (/.f64 (pow.f64 re 6) (/.f64 (*.f64 im im) (-.f64 (/.f64 1/16 (pow.f64 im 3)) (fma.f64 2/3 (/.f64 (*.f64 3/2 im) (/.f64 (pow.f64 im 3) (-.f64 (/.f64 1/2 im) (fma.f64 1/3 (/.f64 (pow.f64 (*.f64 3/2 im) 2) (pow.f64 im 3)) (/.f64 1/8 im))))) (+.f64 (/.f64 1/8 (pow.f64 im 3)) (*.f64 1/27 (/.f64 (pow.f64 (*.f64 3/2 im) 3) (pow.f64 im 6)))))))) (fma.f64 1/3 (/.f64 (*.f64 3/2 im) (/.f64 (*.f64 im im) (*.f64 re re))) im)))
(fma.f64 1/3 (*.f64 (/.f64 (-.f64 (/.f64 1/2 im) (fma.f64 1/3 (/.f64 (*.f64 9/4 (*.f64 im im)) (pow.f64 im 3)) (/.f64 1/8 im))) (*.f64 im im)) (pow.f64 re 4)) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 re 6) (*.f64 im im)) (-.f64 (/.f64 1/16 (pow.f64 im 3)) (fma.f64 2/3 (*.f64 (/.f64 (*.f64 im 3/2) (pow.f64 im 3)) (-.f64 (/.f64 1/2 im) (fma.f64 1/3 (/.f64 (*.f64 9/4 (*.f64 im im)) (pow.f64 im 3)) (/.f64 1/8 im)))) (fma.f64 1/27 (/.f64 (pow.f64 (*.f64 im 3/2) 3) (pow.f64 im 6)) (/.f64 1/8 (pow.f64 im 3)))))) (fma.f64 1/3 (*.f64 (/.f64 (*.f64 im 3/2) im) (/.f64 (*.f64 re re) im)) im)))
(fma.f64 1/3 (*.f64 (/.f64 (-.f64 (/.f64 1/2 im) (fma.f64 1/3 (/.f64 (*.f64 (*.f64 im im) 9/4) (pow.f64 im 3)) (/.f64 1/8 im))) (*.f64 im im)) (pow.f64 re 4)) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 re 6) (*.f64 im im)) (-.f64 (/.f64 1/16 (pow.f64 im 3)) (fma.f64 2/3 (*.f64 (/.f64 (*.f64 im 3/2) (pow.f64 im 3)) (-.f64 (/.f64 1/2 im) (fma.f64 1/3 (/.f64 (*.f64 (*.f64 im im) 9/4) (pow.f64 im 3)) (/.f64 1/8 im)))) (fma.f64 1/27 (/.f64 (pow.f64 (*.f64 im 3/2) 3) (pow.f64 im 6)) (/.f64 1/8 (pow.f64 im 3)))))) (fma.f64 1/3 (*.f64 (/.f64 (*.f64 im 3/2) im) (/.f64 (*.f64 re re) im)) im)))
re
(+.f64 re (*.f64 1/3 (/.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) re)))
(+.f64 re (*.f64 1/3 (/.f64 (*.f64 3/2 (*.f64 im im)) re)))
(+.f64 re (/.f64 (*.f64 im (*.f64 im 1/2)) re))
(+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 -1/4 (pow.f64 im 4)) (+.f64 (*.f64 1/2 (pow.f64 im 4)) (+.f64 (*.f64 -1/8 (pow.f64 im 4)) (*.f64 1/4 (pow.f64 im 4))))) (*.f64 1/3 (pow.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) 2))) (pow.f64 re 3))) (+.f64 re (*.f64 1/3 (/.f64 (+.f64 (pow.f64 im 2) (*.f64 1/2 (pow.f64 im 2))) re))))
(fma.f64 1/3 (/.f64 (+.f64 (fma.f64 -1/4 (pow.f64 im 4) (fma.f64 1/2 (pow.f64 im 4) (*.f64 (pow.f64 im 4) 1/8))) (*.f64 -1/3 (pow.f64 (*.f64 3/2 (*.f64 im im)) 2))) (pow.f64 re 3)) (+.f64 re (*.f64 1/3 (/.f64 (*.f64 3/2 (*.f64 im im)) re))))
(+.f64 (/.f64 (*.f64 im (*.f64 im 1/2)) re) (fma.f64 1/3 (/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 im 4) 3/8) 0) (*.f64 (*.f64 9/4 (pow.f64 im 4)) -1/3)) (pow.f64 re 3)) re))
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(fma.f64 (*.f64 3/2 (*.f64 im im)) re (pow.f64 re 3))
(fma.f64 re (*.f64 (*.f64 im 3/2) im) (pow.f64 re 3))
(+.f64 (pow.f64 re 3) (+.f64 (*.f64 (+.f64 re (*.f64 1/2 re)) (pow.f64 im 2)) (*.f64 3/8 (/.f64 (pow.f64 im 4) re))))
(+.f64 (pow.f64 re 3) (fma.f64 (*.f64 3/2 re) (*.f64 im im) (*.f64 3/8 (/.f64 (pow.f64 im 4) re))))
(+.f64 (pow.f64 re 3) (fma.f64 (*.f64 im im) (*.f64 re 3/2) (/.f64 3/8 (/.f64 re (pow.f64 im 4)))))
(+.f64 (pow.f64 re 3) (fma.f64 (*.f64 im im) (*.f64 re 3/2) (*.f64 3/8 (/.f64 (pow.f64 im 4) re))))
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 3))) (+.f64 (pow.f64 re 3) (+.f64 (*.f64 (+.f64 re (*.f64 1/2 re)) (pow.f64 im 2)) (*.f64 3/8 (/.f64 (pow.f64 im 4) re)))))
(fma.f64 -1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 3)) (+.f64 (pow.f64 re 3) (fma.f64 (*.f64 3/2 re) (*.f64 im im) (*.f64 3/8 (/.f64 (pow.f64 im 4) re)))))
(+.f64 (fma.f64 (*.f64 im im) (*.f64 re 3/2) (/.f64 3/8 (/.f64 re (pow.f64 im 4)))) (fma.f64 -1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 3)) (pow.f64 re 3)))
(+.f64 (fma.f64 (*.f64 im im) (*.f64 re 3/2) (*.f64 3/8 (/.f64 (pow.f64 im 4) re))) (fma.f64 -1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 3)) (pow.f64 re 3)))
(pow.f64 im 3)
(+.f64 (pow.f64 im 3) (*.f64 (+.f64 (pow.f64 re 2) (*.f64 1/2 (pow.f64 re 2))) im))
(+.f64 (*.f64 (*.f64 3/2 im) (*.f64 re re)) (pow.f64 im 3))
(fma.f64 im (*.f64 (*.f64 re re) 3/2) (pow.f64 im 3))
(+.f64 (pow.f64 im 3) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 4) im)) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) im)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 4) im)) (+.f64 (*.f64 (+.f64 (pow.f64 re 2) (*.f64 1/2 (pow.f64 re 2))) im) (*.f64 -1/4 (/.f64 (pow.f64 re 4) im)))))))
(+.f64 (pow.f64 im 3) (fma.f64 1/2 (/.f64 (pow.f64 re 4) im) (fma.f64 1/4 (/.f64 (pow.f64 re 4) im) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) im) (fma.f64 (*.f64 3/2 (*.f64 re re)) im (*.f64 -1/4 (/.f64 (pow.f64 re 4) im)))))))
(+.f64 (pow.f64 im 3) (+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 re 4) im) (fma.f64 im (*.f64 (*.f64 re re) 3/2) (*.f64 -1/4 (/.f64 (pow.f64 re 4) im)))) (*.f64 (/.f64 (pow.f64 re 4) im) 3/4)))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 6) (pow.f64 im 3))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) im)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 4) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 3))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 re 6) (pow.f64 im 3))) (+.f64 (pow.f64 im 3) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 4) im)) (+.f64 (*.f64 (+.f64 (pow.f64 re 2) (*.f64 1/2 (pow.f64 re 2))) im) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/4 (pow.f64 re 4)) (*.f64 -1/4 (pow.f64 re 4)))) (pow.f64 im 3))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) im)))))))))))
(fma.f64 -1/4 (/.f64 (pow.f64 re 6) (pow.f64 im 3)) (fma.f64 1/4 (/.f64 (pow.f64 re 4) im) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) im) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 3)) (fma.f64 1/8 (/.f64 (pow.f64 re 6) (pow.f64 im 3)) (+.f64 (pow.f64 im 3) (fma.f64 1/2 (/.f64 (pow.f64 re 4) im) (fma.f64 (*.f64 3/2 (*.f64 re re)) im (fma.f64 1/2 (/.f64 (*.f64 re re) (/.f64 (pow.f64 im 3) (*.f64 (pow.f64 re 4) 0))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) im)))))))))))
(fma.f64 -1/4 (/.f64 (pow.f64 re 6) (pow.f64 im 3)) (+.f64 (+.f64 (+.f64 (pow.f64 im 3) (fma.f64 1/2 (/.f64 (pow.f64 re 4) im) (fma.f64 im (*.f64 (*.f64 re re) 3/2) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) im) (/.f64 (*.f64 re re) (/.f64 (pow.f64 im 3) 0)))))) (*.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 3)) 3/16)) (*.f64 (/.f64 (pow.f64 re 4) im) 1/8)))
(fma.f64 -1/4 (/.f64 (pow.f64 re 6) (pow.f64 im 3)) (+.f64 (+.f64 (+.f64 (pow.f64 im 3) (fma.f64 1/2 (/.f64 (pow.f64 re 4) im) (fma.f64 im (*.f64 (*.f64 re re) 3/2) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) im) 0)))) (*.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 3)) 3/16)) (*.f64 (/.f64 (pow.f64 re 4) im) 1/8)))
(*.f64 -1 (pow.f64 im 3))
(neg.f64 (pow.f64 im 3))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 re 2) (*.f64 1/2 (pow.f64 re 2))) im)) (*.f64 -1 (pow.f64 im 3)))
(*.f64 -1 (+.f64 (pow.f64 im 3) (*.f64 im (*.f64 3/2 (*.f64 re re)))))
(-.f64 (*.f64 im (*.f64 -3/2 (*.f64 re re))) (pow.f64 im 3))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 re 4)) (+.f64 (*.f64 1/2 (pow.f64 re 4)) (+.f64 (*.f64 -1/4 (pow.f64 re 4)) (*.f64 -1/8 (pow.f64 re 4))))) im)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 re 2) (*.f64 1/2 (pow.f64 re 2))) im)) (*.f64 -1 (pow.f64 im 3))))
(fma.f64 -1 (/.f64 (fma.f64 1/4 (pow.f64 re 4) (fma.f64 1/2 (pow.f64 re 4) (*.f64 (pow.f64 re 4) -3/8))) im) (*.f64 -1 (+.f64 (pow.f64 im 3) (*.f64 im (*.f64 3/2 (*.f64 re re))))))
(-.f64 (-.f64 (*.f64 im (*.f64 -3/2 (*.f64 re re))) (pow.f64 im 3)) (/.f64 (fma.f64 1/2 (pow.f64 re 4) (*.f64 (pow.f64 re 4) -1/8)) im))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 re 6)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/4 (pow.f64 re 4)) (*.f64 -1/4 (pow.f64 re 4))))) (+.f64 (*.f64 1/8 (pow.f64 re 6)) (*.f64 1/16 (pow.f64 re 6))))) (pow.f64 im 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 re 4)) (+.f64 (*.f64 1/2 (pow.f64 re 4)) (+.f64 (*.f64 -1/4 (pow.f64 re 4)) (*.f64 -1/8 (pow.f64 re 4))))) im)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 re 2) (*.f64 1/2 (pow.f64 re 2))) im)) (*.f64 -1 (pow.f64 im 3)))))
(fma.f64 -1 (/.f64 (fma.f64 -1/4 (pow.f64 re 6) (fma.f64 1/2 (*.f64 (*.f64 re re) (*.f64 (pow.f64 re 4) 0)) (*.f64 (pow.f64 re 6) 3/16))) (pow.f64 im 3)) (fma.f64 -1 (/.f64 (fma.f64 1/4 (pow.f64 re 4) (fma.f64 1/2 (pow.f64 re 4) (*.f64 (pow.f64 re 4) -3/8))) im) (*.f64 -1 (+.f64 (pow.f64 im 3) (*.f64 im (*.f64 3/2 (*.f64 re re)))))))
(-.f64 (-.f64 (-.f64 (*.f64 im (*.f64 -3/2 (*.f64 re re))) (pow.f64 im 3)) (/.f64 (fma.f64 1/2 (pow.f64 re 4) (*.f64 (pow.f64 re 4) -1/8)) im)) (/.f64 (+.f64 (*.f64 re (*.f64 re 0)) (*.f64 (pow.f64 re 6) -1/16)) (pow.f64 im 3)))
(-.f64 (-.f64 (-.f64 (*.f64 im (*.f64 -3/2 (*.f64 re re))) (pow.f64 im 3)) (/.f64 (fma.f64 1/2 (pow.f64 re 4) (*.f64 (pow.f64 re 4) -1/8)) im)) (/.f64 (+.f64 (*.f64 (pow.f64 re 6) -1/16) 0) (pow.f64 im 3)))

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3))
✓0.5b
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
✓0.7b
(pow.f64 (log.f64 (hypot.f64 re im)) 3)
✓0.7b
(pow.f64 (log.f64 base) 3)
Compiler

Compiled 49 to 22 computations (55.1% saved)

series34.0ms (0.2%)

Counts
4 → 104
Calls

27 calls:

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

rewrite90.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
557×log-prod_binary64
425×exp-prod_binary64
316×pow-prod-down_binary64
286×pow2_binary64
214×pow-to-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01243
125340
2288240
Stop Event
1×node limit
Counts
4 → 171
Calls
Call 1
Inputs
(pow.f64 (log.f64 base) 3)
(pow.f64 (log.f64 (hypot.f64 re im)) 3)
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log.f64 base) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 base) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 5/2))))) (#(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 (log.f64 base) 5/2) (sqrt.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 (pow.f64 (*.f64 (log.f64 base) (cbrt.f64 (log.f64 base))) 2) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 base) 9))))) (#(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 (*.f64 3 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 base))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 3/2) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log.f64 (hypot.f64 re im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 (hypot.f64 re im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 (hypot.f64 re im)) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3/2) (pow.f64 (log.f64 (hypot.f64 re im)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 5/2) (sqrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) 1) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 (hypot.f64 re im)))) 2) (cbrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (hypot.f64 re im)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 (hypot.f64 re im)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (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) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (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))) 3/2) 2))))))
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simplify204.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
785×times-frac_binary64
730×fma-def_binary64
624×associate-/r*_binary64
504×associate-/l*_binary64
278×associate-*r/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06007561
121306952
Stop Event
1×node limit
Counts
275 → 325
Calls
Call 1
Inputs
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (log.f64 im) 3)
(+.f64 (*.f64 (pow.f64 re 2) (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2))))) (pow.f64 (log.f64 im) 3))
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 im) (pow.f64 im 4))) (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 im 4))) (*.f64 -1/2 (/.f64 (log.f64 im) (pow.f64 im 4)))) (log.f64 im)))) (pow.f64 re 4)) (+.f64 (*.f64 (pow.f64 re 2) (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2))))) (pow.f64 (log.f64 im) 3)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 im) (pow.f64 im 4))) (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 im 4))) (*.f64 -1/2 (/.f64 (log.f64 im) (pow.f64 im 4)))) (log.f64 im)))) (pow.f64 re 4)) (+.f64 (*.f64 (pow.f64 re 2) (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2))))) (+.f64 (pow.f64 (log.f64 im) 3) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 (log.f64 im) (pow.f64 im 6))) (*.f64 1/4 (/.f64 1 (pow.f64 im 6)))) (log.f64 im)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 im 4))) (*.f64 -1/2 (/.f64 (log.f64 im) (pow.f64 im 4)))) (pow.f64 im 2))) (*.f64 -1/4 (/.f64 (log.f64 im) (pow.f64 im 6)))))) (pow.f64 re 6)))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 re)) 3))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 re)) 3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2))) (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4))) (*.f64 1/4 (pow.f64 im 4))) (log.f64 (/.f64 1 re))) (pow.f64 re 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 re)) 3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 4)) (pow.f64 re 4))) (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2)))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 im 6)) (*.f64 -1/360 (*.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (log.f64 (/.f64 1 re))))) (log.f64 (/.f64 1 re))) (pow.f64 re 6))) (+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 re)) 3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (pow.f64 (log.f64 (/.f64 1 re)) 2)) (pow.f64 re 6))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4))) (*.f64 1/4 (pow.f64 im 4))) (log.f64 (/.f64 1 re))) (pow.f64 re 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4))) (*.f64 1/4 (pow.f64 im 4))) (pow.f64 im 2)) (pow.f64 re 6))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 6)) (pow.f64 re 6))) (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2)))))))))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 -1 re)) 3))
(+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2)) (+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 -1 re)) 3)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (log.f64 (/.f64 -1 re)) (pow.f64 im 4))) (*.f64 1/4 (pow.f64 im 4))) (log.f64 (/.f64 -1 re))) (pow.f64 re 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2)) (+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 -1 re)) 3)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2))) (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (/.f64 -1 re)) (pow.f64 im 4)) (pow.f64 re 4))))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (log.f64 (/.f64 -1 re)) (pow.f64 im 4))) (*.f64 1/4 (pow.f64 im 4))) (log.f64 (/.f64 -1 re))) (pow.f64 re 4))) (+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 -1 re)) 3)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (/.f64 -1 re)) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 im 6)) (*.f64 -1/360 (*.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (log.f64 (/.f64 -1 re))))) (log.f64 (/.f64 -1 re))) (pow.f64 re 6))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (log.f64 (/.f64 -1 re)) (pow.f64 im 4))) (*.f64 1/4 (pow.f64 im 4))) (pow.f64 im 2)) (pow.f64 re 6))) (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (pow.f64 (log.f64 (/.f64 -1 re)) 2)) (pow.f64 re 6))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 (/.f64 -1 re)) (pow.f64 im 6)) (pow.f64 re 6))))))))))))
(pow.f64 (log.f64 re) 3)
(+.f64 (pow.f64 (log.f64 re) 3) (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 2)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 2)))) (pow.f64 im 2)))
(+.f64 (pow.f64 (log.f64 re) 3) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 2)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 2)))) (pow.f64 im 2)) (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 4))) (+.f64 (*.f64 (log.f64 re) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 re 4))) (*.f64 -1/2 (/.f64 (log.f64 re) (pow.f64 re 4))))) (*.f64 1/2 (/.f64 (log.f64 re) (pow.f64 re 4))))) (pow.f64 im 4))))
(+.f64 (pow.f64 (log.f64 re) 3) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 re 4))) (*.f64 -1/2 (/.f64 (log.f64 re) (pow.f64 re 4)))) (pow.f64 re 2))) (+.f64 (*.f64 (log.f64 re) (-.f64 (*.f64 1/3 (/.f64 (log.f64 re) (pow.f64 re 6))) (*.f64 1/4 (/.f64 1 (pow.f64 re 6))))) (+.f64 (*.f64 -1/4 (/.f64 (log.f64 re) (pow.f64 re 6))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 6)))))) (pow.f64 im 6)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 2)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 2)))) (pow.f64 im 2)) (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 4))) (+.f64 (*.f64 (log.f64 re) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 re 4))) (*.f64 -1/2 (/.f64 (log.f64 re) (pow.f64 re 4))))) (*.f64 1/2 (/.f64 (log.f64 re) (pow.f64 re 4))))) (pow.f64 im 4)))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 im)) 3))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 im)) 2)) (pow.f64 im 2))) (+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 im)) 3)) (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 im)) 2)) (pow.f64 im 2))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 im)) 2)) (pow.f64 im 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 im)) 2)) (pow.f64 im 4))) (+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 im)) 3)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 re 4) (log.f64 (/.f64 1 im))) (pow.f64 im 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 re 4)) (*.f64 1/2 (*.f64 (pow.f64 re 4) (log.f64 (/.f64 1 im))))) (log.f64 (/.f64 1 im))) (pow.f64 im 4))) (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 im)) 2)) (pow.f64 im 2)))))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 im)) 2)) (pow.f64 im 4))) (+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 im)) 3)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 re 6) (log.f64 (/.f64 1 im))) (pow.f64 im 6))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 im)) (+.f64 (*.f64 -1/4 (pow.f64 re 6)) (+.f64 (*.f64 -1/720 (*.f64 (log.f64 (/.f64 1 im)) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))))) (*.f64 -1/720 (*.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (log.f64 (/.f64 1 im))))))) (pow.f64 im 6))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 re 4)) (*.f64 1/2 (*.f64 (pow.f64 re 4) (log.f64 (/.f64 1 im))))) (log.f64 (/.f64 1 im))) (pow.f64 im 4))) (+.f64 (*.f64 1/720 (/.f64 (*.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 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/4 (pow.f64 re 4)) (*.f64 1/2 (*.f64 (pow.f64 re 4) (log.f64 (/.f64 1 im)))))) (pow.f64 im 6))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 im)) 2)) (pow.f64 im 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 re 4) (log.f64 (/.f64 1 im))) (pow.f64 im 4))) (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 im)) 2)) (pow.f64 im 2)))))))))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 -1 im)) 3))
(+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 2)) (pow.f64 im 2)) (+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 -1 im)) 3)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 2)) (pow.f64 im 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 re 4)) (*.f64 1/2 (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 re 4)))) (log.f64 (/.f64 -1 im))) (pow.f64 im 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 2)) (pow.f64 im 2)) (+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 -1 im)) 3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 2)) (pow.f64 im 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 re 4)) (pow.f64 im 4))) (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 4)) (pow.f64 im 4))))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 re 4)) (*.f64 1/2 (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 re 4)))) (pow.f64 re 2)) (pow.f64 im 6))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6)))) (pow.f64 im 6))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 re 6)) (pow.f64 im 6))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 re 6)) (*.f64 -1/360 (*.f64 (log.f64 (/.f64 -1 im)) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6)))))) (log.f64 (/.f64 -1 im))) (pow.f64 im 6))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 re 4)) (*.f64 1/2 (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 re 4)))) (log.f64 (/.f64 -1 im))) (pow.f64 im 4))) (+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 -1 im)) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 2)) (pow.f64 im 2)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 re 4)) (pow.f64 im 4))))))))))))
(/.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)))))))
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(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 re 4)) (*.f64 1/2 (*.f64 (pow.f64 re 4) (log.f64 (/.f64 1 im))))) (log.f64 (/.f64 1 im))) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/4 (pow.f64 re 4)) (*.f64 1/2 (*.f64 (pow.f64 re 4) (log.f64 (/.f64 1 im)))))) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 im)) 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2)))) (+.f64 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 im)) 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (pow.f64 (log.f64 (/.f64 1 im)) 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 im)) 3) (pow.f64 (log.f64 base) 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 re 4) (log.f64 (/.f64 1 im))) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 re 6) (log.f64 (/.f64 1 im))) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 im)) 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 im)) (+.f64 (*.f64 -1/4 (pow.f64 re 6)) (+.f64 (*.f64 -1/720 (*.f64 (log.f64 (/.f64 1 im)) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))))) (*.f64 -1/720 (*.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (log.f64 (/.f64 1 im))))))) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))))))))))))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 (log.f64 base) 3)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 (log.f64 base) 3))) (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 re 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 re 4)) (*.f64 1/2 (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 re 4)))) (log.f64 (/.f64 -1 im))) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 (log.f64 base) 3))) (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))) (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 re 4)) (*.f64 1/2 (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 re 4)))) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6)))) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 (log.f64 base) 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 re 4)) (*.f64 1/2 (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 re 4)))) (log.f64 (/.f64 -1 im))) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 re 6)) (*.f64 -1/360 (*.f64 (log.f64 (/.f64 -1 im)) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6)))))) (log.f64 (/.f64 -1 im))) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 re 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 re 6)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))))))))))))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 base) 3))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
Outputs
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) 3))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3)
(pow.f64 (log.f64 im) 3)
(+.f64 (*.f64 (pow.f64 re 2) (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2))))) (pow.f64 (log.f64 im) 3))
(fma.f64 (*.f64 re re) (*.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 im im))) (pow.f64 (log.f64 im) 3))
(fma.f64 (*.f64 re re) (/.f64 (*.f64 3/2 (pow.f64 (log.f64 im) 2)) (*.f64 im im)) (pow.f64 (log.f64 im) 3))
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 im) (pow.f64 im 4))) (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 im 4))) (*.f64 -1/2 (/.f64 (log.f64 im) (pow.f64 im 4)))) (log.f64 im)))) (pow.f64 re 4)) (+.f64 (*.f64 (pow.f64 re 2) (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2))))) (pow.f64 (log.f64 im) 3)))
(fma.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4)) (fma.f64 1/2 (/.f64 (log.f64 im) (pow.f64 im 4)) (*.f64 (log.f64 im) (+.f64 (/.f64 1/4 (pow.f64 im 4)) (/.f64 (*.f64 -1/2 (log.f64 im)) (pow.f64 im 4)))))) (pow.f64 re 4) (fma.f64 (*.f64 re re) (*.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 im im))) (pow.f64 (log.f64 im) 3)))
(fma.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4)) (fma.f64 (log.f64 im) (fma.f64 (/.f64 (log.f64 im) (pow.f64 im 4)) -1/2 (/.f64 1/4 (pow.f64 im 4))) (/.f64 (*.f64 1/2 (log.f64 im)) (pow.f64 im 4)))) (pow.f64 re 4) (fma.f64 (*.f64 re re) (/.f64 (*.f64 3/2 (pow.f64 (log.f64 im) 2)) (*.f64 im im)) (pow.f64 (log.f64 im) 3)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 im) (pow.f64 im 4))) (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 im 4))) (*.f64 -1/2 (/.f64 (log.f64 im) (pow.f64 im 4)))) (log.f64 im)))) (pow.f64 re 4)) (+.f64 (*.f64 (pow.f64 re 2) (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2))))) (+.f64 (pow.f64 (log.f64 im) 3) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 (log.f64 im) (pow.f64 im 6))) (*.f64 1/4 (/.f64 1 (pow.f64 im 6)))) (log.f64 im)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 im 4))) (*.f64 -1/2 (/.f64 (log.f64 im) (pow.f64 im 4)))) (pow.f64 im 2))) (*.f64 -1/4 (/.f64 (log.f64 im) (pow.f64 im 6)))))) (pow.f64 re 6)))))
(fma.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4)) (fma.f64 1/2 (/.f64 (log.f64 im) (pow.f64 im 4)) (*.f64 (log.f64 im) (+.f64 (/.f64 1/4 (pow.f64 im 4)) (/.f64 (*.f64 -1/2 (log.f64 im)) (pow.f64 im 4)))))) (pow.f64 re 4) (+.f64 (fma.f64 (*.f64 re re) (*.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 im im))) (pow.f64 (log.f64 im) 3)) (*.f64 (fma.f64 (-.f64 (*.f64 1/3 (/.f64 (log.f64 im) (pow.f64 im 6))) (/.f64 1/4 (pow.f64 im 6))) (log.f64 im) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6)) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/4 (pow.f64 im 4)) (/.f64 (*.f64 -1/2 (log.f64 im)) (pow.f64 im 4))) (*.f64 im im)) (*.f64 -1/4 (/.f64 (log.f64 im) (pow.f64 im 6)))))) (pow.f64 re 6))))
(fma.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4)) (fma.f64 (log.f64 im) (fma.f64 (/.f64 (log.f64 im) (pow.f64 im 4)) -1/2 (/.f64 1/4 (pow.f64 im 4))) (/.f64 (*.f64 1/2 (log.f64 im)) (pow.f64 im 4)))) (pow.f64 re 4) (fma.f64 (*.f64 re re) (/.f64 (*.f64 3/2 (pow.f64 (log.f64 im) 2)) (*.f64 im im)) (fma.f64 (fma.f64 (log.f64 im) (fma.f64 1/3 (/.f64 (log.f64 im) (pow.f64 im 6)) (/.f64 -1/4 (pow.f64 im 6))) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6)) (fma.f64 -1/4 (/.f64 (log.f64 im) (pow.f64 im 6)) (/.f64 1/2 (/.f64 (*.f64 im im) (fma.f64 (/.f64 (log.f64 im) (pow.f64 im 4)) -1/2 (/.f64 1/4 (pow.f64 im 4)))))))) (pow.f64 re 6) (pow.f64 (log.f64 im) 3))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 re)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 re)) 3))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 re)) 3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2))) (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2))))
(fma.f64 -1 (pow.f64 (neg.f64 (log.f64 re)) 3) (*.f64 3/2 (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (/.f64 (*.f64 re re) (*.f64 im im)))))
(-.f64 (*.f64 3/2 (/.f64 (pow.f64 (log.f64 re) 2) (*.f64 (/.f64 re im) (/.f64 re im)))) (pow.f64 (neg.f64 (log.f64 re)) 3))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4))) (*.f64 1/4 (pow.f64 im 4))) (log.f64 (/.f64 1 re))) (pow.f64 re 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (*.f64 -1 (pow.f64 (log.f64 (/.f64 1 re)) 3)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 4)) (pow.f64 re 4))) (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (pow.f64 re 2)))))))
(fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (pow.f64 im 4) (neg.f64 (log.f64 re))) (*.f64 (pow.f64 im 4) 1/4)) (/.f64 (pow.f64 re 4) (neg.f64 (log.f64 re)))) (fma.f64 -1/2 (/.f64 (neg.f64 (log.f64 re)) (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (fma.f64 -1 (pow.f64 (neg.f64 (log.f64 re)) 3) (fma.f64 1/2 (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (/.f64 (*.f64 re re) (*.f64 im im))) (fma.f64 -1/4 (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (/.f64 (*.f64 re re) (*.f64 im im))))))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 im 4) (/.f64 (pow.f64 re 4) (neg.f64 (log.f64 re)))) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 re) 2) (*.f64 (/.f64 re im) (/.f64 re im))) (fma.f64 -1/4 (/.f64 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 re) 2)) (pow.f64 re 4)) (/.f64 (pow.f64 (log.f64 re) 2) (*.f64 (/.f64 re im) (/.f64 re im))))) (pow.f64 (neg.f64 (log.f64 re)) 3))) (*.f64 (/.f64 (*.f64 (pow.f64 im 4) (+.f64 1/4 (*.f64 1/2 (neg.f64 (log.f64 re))))) (pow.f64 re 4)) (neg.f64 (log.f64 re))))
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(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 3) (pow.f64 (log.f64 base) 3))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(neg.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 3) (pow.f64 (neg.f64 (log.f64 base)) 3)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 3)) (pow.f64 (neg.f64 (log.f64 base)) 3))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(neg.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 3) (pow.f64 (neg.f64 (log.f64 base)) 3)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 3)) (pow.f64 (neg.f64 (log.f64 base)) 3))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(neg.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 3) (pow.f64 (neg.f64 (log.f64 base)) 3)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 3)) (pow.f64 (neg.f64 (log.f64 base)) 3))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(neg.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 3) (pow.f64 (neg.f64 (log.f64 base)) 3)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 3)) (pow.f64 (neg.f64 (log.f64 base)) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 3) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 3) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 3) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 3) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 3) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3))

eval1.1s (8.1%)

Compiler

Compiled 35167 to 22098 computations (37.2% saved)

prune252.0ms (1.8%)

Pruning

26 alts after pruning (24 fresh and 2 done)

PrunedKeptTotal
New1003211024
Fresh15318
Picked101
Done325
Total1022261048
Error
0b
Counts
1048 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.4b
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1) -1)
30.7b
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -3) -1/3)
32.8b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
0.4b
(*.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) (log.f64 (hypot.f64 re im)))
32.9b
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
▶32.8b
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
0.5b
(*.f64 1/3 (/.f64 (*.f64 3 (log.f64 (hypot.f64 re im))) (log.f64 base)))
✓0.3b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶33.2b
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
0.5b
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
0.7b
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 (hypot.f64 re im)))
47.4b
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
0.5b
(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
29.2b
(pow.f64 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))) -1)
✓32.8b
(/.f64 (log.f64 im) (log.f64 base))
▶0.6b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
33.0b
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
29.3b
(cbrt.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3)) (pow.f64 (log.f64 base) 3)))
29.2b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re)))
1.2b
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
▶29.2b
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
0.5b
(*.f64 1/3 (*.f64 (*.f64 3 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
47.4b
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
1.3b
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
0.6b
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
29.4b
(/.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 (/.f64 re im) im)) re)) (log.f64 base))
Compiler

Compiled 626 to 495 computations (20.9% saved)

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 re im)
✓0.2b
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1) -1)
✓0.3b
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1)
0.3b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Compiler

Compiled 43 to 14 computations (67.4% saved)

series18.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
im
@inf
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1)
1.0ms
base
@inf
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1)
1.0ms
re
@0
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1)
1.0ms
im
@inf
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1) -1)
1.0ms
re
@inf
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1) -1)

rewrite166.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
947×pow1_binary64
873×add-log-exp_binary64
873×log1p-expm1-u_binary64
873×expm1-log1p-u_binary64
851×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01125
122622
2249122
Stop Event
1×node limit
Counts
2 → 81
Calls
Call 1
Inputs
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1) -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 (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 (pow.f64 (log.f64 (hypot.f64 re im)) -1) (pow.f64 (/.f64 1 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) -1))))) (#(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)) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (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 *.f64 (/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (sqrt.f64 (log.f64 base)) (sqrt.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 1 (neg.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.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 1 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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 (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 (neg.f64 (log.f64 base)) (neg.f64 (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 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (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 /.f64 (/.f64 (log.f64 base) 1) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (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 1 (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 sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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))) (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> 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(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))))))))

simplify149.0ms (1.1%)

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
153 → 181
Calls
Call 1
Inputs
(/.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))))
(+.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 -1/2 (/.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 -1/4 (/.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 (+.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 im 6))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (*.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 (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)))))
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(+.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))))))
(/.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 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 (log.f64 base) (/.f64 (*.f64 (pow.f64 (log.f64 im) 2) (*.f64 im im)) (*.f64 re re))) (/.f64 (log.f64 base) (log.f64 im)))
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 base) (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 (log.f64 base) (/.f64 (*.f64 (pow.f64 (log.f64 im) 2) (*.f64 im im)) (*.f64 re re))) (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 re im) (/.f64 re im)) (/.f64 (log.f64 base) (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 (log.f64 base) (*.f64 (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 (log.f64 im) (*.f64 im im))))) (pow.f64 re 6)) (fma.f64 -1/2 (/.f64 (log.f64 base) (/.f64 (*.f64 (pow.f64 (log.f64 im) 2) (*.f64 im im)) (*.f64 re re))) (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 re im) (/.f64 re im)) (/.f64 (log.f64 base) (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 (log.f64 base) (*.f64 (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 (log.f64 base) (*.f64 (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 (log.f64 base) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2))))) (*.f64 im (*.f64 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 (log.f64 base) (pow.f64 (log.f64 re) 2)) (*.f64 (/.f64 im re) (/.f64 im re)))) (/.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 (log.f64 base) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 4))) (*.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))))))
(-.f64 (-.f64 (*.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 re) 2)) (*.f64 (/.f64 im re) (/.f64 im re)))) (/.f64 (log.f64 base) (neg.f64 (log.f64 re)))) (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (/.f64 (pow.f64 (log.f64 re) 2) (log.f64 base))) (/.f64 (*.f64 (log.f64 base) 1/4) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 4)))) (pow.f64 re 4)))
(+.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))))))
(fma.f64 -1 (/.f64 (fma.f64 1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 4))) (*.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))) (fma.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (*.f64 re re)) (/.f64 (*.f64 im im) (pow.f64 (neg.f64 (log.f64 re)) 2))) (neg.f64 (/.f64 (fma.f64 -1/8 (/.f64 (log.f64 base) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (fma.f64 1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 4))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (neg.f64 (log.f64 re)) 2)))) (/.f64 (neg.f64 (log.f64 re)) (*.f64 im im))) (/.f64 (*.f64 1/720 (*.f64 (log.f64 base) (*.f64 (pow.f64 im 6) 120))) (pow.f64 (neg.f64 (log.f64 re)) 2)))) (pow.f64 re 6))))))
(-.f64 (-.f64 (-.f64 (*.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 re) 2)) (*.f64 (/.f64 im re) (/.f64 im re)))) (/.f64 (log.f64 base) (neg.f64 (log.f64 re)))) (/.f64 (fma.f64 -1/8 (*.f64 (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) 3)) (pow.f64 im 6)) (fma.f64 1/720 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 re) 2)) (*.f64 (pow.f64 im 6) 120)) (/.f64 (*.f64 (*.f64 (*.f64 im im) 1/2) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (/.f64 (pow.f64 (log.f64 re) 2) (log.f64 base))) (/.f64 (*.f64 (log.f64 base) 1/4) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 4))))) (neg.f64 (log.f64 re))))) (pow.f64 re 6))) (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (/.f64 (pow.f64 (log.f64 re) 2) (log.f64 base))) (/.f64 (*.f64 (log.f64 base) 1/4) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 4)))) (pow.f64 re 4)))
(-.f64 (-.f64 (-.f64 (*.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 re) 2)) (*.f64 (/.f64 im re) (/.f64 im re)))) (/.f64 (log.f64 base) (neg.f64 (log.f64 re)))) (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (/.f64 (pow.f64 (log.f64 re) 2) (log.f64 base))) (/.f64 (*.f64 (log.f64 base) 1/4) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 4)))) (pow.f64 re 4))) (/.f64 (fma.f64 -1/8 (*.f64 (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) 3)) (pow.f64 im 6)) (fma.f64 1/720 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 re) 2)) (*.f64 (pow.f64 im 6) 120)) (/.f64 (*.f64 (*.f64 (*.f64 im im) 1/2) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (/.f64 (pow.f64 (log.f64 re) 2) (log.f64 base))) (/.f64 (*.f64 (log.f64 base) 1/4) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 4))))) (neg.f64 (log.f64 re))))) (pow.f64 re 6)))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(neg.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(/.f64 (neg.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)))))
(fma.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))) (*.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (*.f64 re re)) (/.f64 (*.f64 im im) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))))
(fma.f64 -1/2 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (*.f64 (/.f64 im re) (/.f64 im re)))) (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 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)) 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))))))
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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 re re) (*.f64 (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 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (*.f64 1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 re 4))))))))) (pow.f64 im 4)) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(-.f64 (-.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im))) (/.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 (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 re 4)) (/.f64 (*.f64 (*.f64 (pow.f64 re 4) 1/4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))) (pow.f64 im 4))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im))) (+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)) (/.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 (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 re 4)) (/.f64 (*.f64 (*.f64 (pow.f64 re 4) 1/4) (log.f64 base)) (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 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (*.f64 1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 re 4))))))))) (/.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 1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 re 4))))))) (/.f64 (*.f64 1/720 (*.f64 (log.f64 base) (*.f64 (pow.f64 re 6) 120))) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))))) (/.f64 (*.f64 1/2 (*.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 1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 re 4))))))) (pow.f64 (log.f64 base) 2)))) (pow.f64 im 6)) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (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 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (*.f64 1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 re 4))))))))) (pow.f64 im 4)) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(-.f64 (-.f64 (-.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im))) (/.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 (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 re 4)) (/.f64 (*.f64 (*.f64 (pow.f64 re 4) 1/4) (log.f64 base)) (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 (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 re 4)) (/.f64 (*.f64 (*.f64 (pow.f64 re 4) 1/4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))) (log.f64 (/.f64 -1 im))) (*.f64 re re)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) 1/2) (fma.f64 -1/4 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 re 4)) (/.f64 (*.f64 (*.f64 (pow.f64 re 4) 1/4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 im)) 3)))) (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 (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 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 re 4)) (/.f64 (*.f64 (*.f64 (pow.f64 re 4) 1/4) (log.f64 base)) (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 1/2 (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im))) (+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)) (/.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 (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 re 4)) (/.f64 (*.f64 (*.f64 (pow.f64 re 4) 1/4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))) (pow.f64 im 4)))) (/.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 (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 re 4)) (/.f64 (*.f64 (*.f64 (pow.f64 re 4) 1/4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))) (log.f64 (/.f64 -1 im))) (*.f64 re re)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) 1/2) (fma.f64 -1/4 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 re 4)) (/.f64 (*.f64 (*.f64 (pow.f64 re 4) 1/4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 im)) 3)))) (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 (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 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 re 4)) (/.f64 (*.f64 (*.f64 (pow.f64 re 4) 1/4) (log.f64 base)) (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 (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))))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 18 to 7 computations (61.1% saved)

series58.0ms (0.4%)

Counts
1 → 20
Calls

6 calls:

TimeVariablePointExpression
20.0ms
re
@0
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
14.0ms
base
@0
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
10.0ms
re
@inf
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
8.0ms
re
@-inf
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
1.0ms
base
@-inf
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

rewrite52.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
626×pow1_binary64
576×add-log-exp_binary64
575×log1p-expm1-u_binary64
575×expm1-log1p-u_binary64
564×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
11418
218068
Stop Event
1×node limit
Counts
1 → 30
Calls
Call 1
Inputs
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 re)) 2) (*.f64 (cbrt.f64 (log.f64 re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 re)) (*.f64 (sqrt.f64 (log.f64 re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 re)) (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (log.f64 re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 re)) 2) 1) (/.f64 (cbrt.f64 (log.f64 re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 re)) 1) (/.f64 (sqrt.f64 (log.f64 re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 re) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 re)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 re) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 re)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (log.f64 re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 re) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 re (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base))))))))

simplify129.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1946×fma-neg_binary64
581×div-sub_binary64
396×fma-def_binary64
332×sub-neg_binary64
281×associate-/l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030260
156212
290212
3197212
4540212
51546212
65308212
76658212
87099212
97423212
107554212
117614212
Stop Event
1×node limit
Counts
50 → 37
Calls
Call 1
Inputs
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
Outputs
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.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 (log.f64 (/.f64 -1 re)) (neg.f64 (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 (log.f64 (/.f64 -1 re)) (neg.f64 (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 (log.f64 (/.f64 -1 re)) (neg.f64 (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 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

localize25.0ms (0.2%)

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)

series8.0ms (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
base
@0
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)

rewrite84.0ms (0.6%)

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))))))))

simplify172.0ms (1.3%)

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))

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (log.f64 im) (log.f64 base))
✓0.4b
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
✓0.5b
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
Compiler

Compiled 29 to 10 computations (65.5% saved)

series21.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
7.0ms
im
@inf
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
3.0ms
base
@-inf
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
3.0ms
im
@-inf
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
3.0ms
im
@0
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
2.0ms
base
@inf
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)

rewrite141.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
771×pow1_binary64
721×add-log-exp_binary64
721×log1p-expm1-u_binary64
721×expm1-log1p-u_binary64
704×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
118718
2200818
Stop Event
1×node limit
Counts
2 → 72
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(cbrt.f64 (/.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 (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 1 (/.f64 (log.f64 im) (log.f64 base)))))) (#(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 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2) (*.f64 (cbrt.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 (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 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)))))) (#(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 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2) 3) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) 3))))) (#(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 (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 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) 1) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6)) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6))))) (#(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 /.f64 (*.f64 (cbrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (log.f64 im))) (cbrt.f64 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 im)) (pow.f64 (/.f64 1 (log.f64 base)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (log.f64 im))) (cbrt.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (log.f64 im))) (neg.f64 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))))

simplify80.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
540×fma-def_binary64
436×div-sub_binary64
420×unswap-sqr_binary64
332×fma-neg_binary64
298×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046488
1125488
2207488
3429488
4961488
52359488
66168488
Stop Event
1×node limit
Counts
120 → 83
Calls
Call 1
Inputs
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 -1 (*.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)) (pow.f64 1 1/3)))
(*.f64 -1 (*.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)) (pow.f64 1 1/3)))
(*.f64 -1 (*.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)) (pow.f64 1 1/3)))
(*.f64 -1 (*.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)) (pow.f64 1 1/3)))
(*.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/3)
(*.f64 (pow.f64 (/.f64 (*.f64 1 (log.f64 (/.f64 1 im))) (log.f64 base)) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (log.f64 (/.f64 1 im))) (log.f64 base)) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (log.f64 (/.f64 1 im))) (log.f64 base)) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (log.f64 (/.f64 1 im))) (log.f64 base)) 1/3) (cbrt.f64 -1))
(pow.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/3)
(*.f64 (pow.f64 (/.f64 (*.f64 1 (log.f64 im)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (log.f64 im)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (log.f64 im)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (log.f64 im)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(pow.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(pow.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(pow.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(pow.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
Outputs
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (*.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)) (pow.f64 1 1/3)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (*.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)) (pow.f64 1 1/3)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (*.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)) (pow.f64 1 1/3)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (*.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)) (pow.f64 1 1/3)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (log.f64 (/.f64 1 im))) (log.f64 base)) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (log.f64 (/.f64 1 im))) (log.f64 base)) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (log.f64 (/.f64 1 im))) (log.f64 base)) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (log.f64 (/.f64 1 im))) (log.f64 base)) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(pow.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (log.f64 im)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (log.f64 im)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (log.f64 im)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (log.f64 im)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(pow.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 re im)
0.3b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓0.5b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
✓0.7b
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)
Compiler

Compiled 42 to 13 computations (69% saved)

series20.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

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

rewrite67.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01125
122925
2254325
Stop Event
1×node limit
Counts
2 → 80
Calls
Call 1
Inputs
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)) (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) (pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) 1) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) (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 (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 (log.f64 (hypot.f64 re im))) 3) (pow.f64 (neg.f64 (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3)) (neg.f64 (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) (log.f64 (hypot.f64 re im))) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) 1) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) (neg.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)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (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))) (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) 1/3))))) (#(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 (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 (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) 1/3) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 (log.f64 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(#(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 pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))

simplify173.0ms (1.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
04375315
115814895
273994895
Stop Event
1×node limit
Counts
152 → 184
Calls
Call 1
Inputs
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3))
(+.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))))) (pow.f64 re 2)))
(+.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))))) (pow.f64 re 2)) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))) (log.f64 im)) (log.f64 base)) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))) (pow.f64 re 4))))
(+.f64 (*.f64 (pow.f64 re 6) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (/.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6)))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6))))) (log.f64 im)) (log.f64 base)))))) (+.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))))) (pow.f64 re 2)) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))) (log.f64 im)) (log.f64 base)) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))) (pow.f64 re 4)))))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 (log.f64 base) 3)))
(+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 (log.f64 base) 3))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2))))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4)) (pow.f64 (log.f64 base) 2))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (log.f64 (/.f64 1 re))) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 (log.f64 base) 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2)))) (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4)) (pow.f64 (log.f64 base) 2))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 6)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (+.f64 (*.f64 -1/360 (/.f64 (*.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (log.f64 (/.f64 1 re))) (pow.f64 (log.f64 base) 2))) (*.f64 -1/4 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2))))) (*.f64 (log.f64 base) (pow.f64 re 6)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (pow.f64 (log.f64 (/.f64 1 re)) 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 6)))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4)) (pow.f64 (log.f64 base) 2))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (log.f64 (/.f64 1 re))) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 6)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 6)))) (*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 (log.f64 base) 3))))))))))))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 base) 3)))
(+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2)))) (*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 base) 3)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (/.f64 -1 re)) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 (/.f64 -1 re)) (pow.f64 im 4)) (pow.f64 (log.f64 base) 2))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (log.f64 (/.f64 -1 re))) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))) (*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 base) 3))))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 (/.f64 -1 re)) (pow.f64 im 4)) (pow.f64 (log.f64 base) 2))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (pow.f64 im 2)) (*.f64 (log.f64 base) (pow.f64 re 6)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 (/.f64 -1 re)) (pow.f64 im 4)) (pow.f64 (log.f64 base) 2))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (log.f64 (/.f64 -1 re))) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 base) 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/360 (/.f64 (*.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (log.f64 (/.f64 -1 re))) (pow.f64 (log.f64 base) 2))) (*.f64 -1/4 (/.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 2)))) (log.f64 (/.f64 -1 re))) (*.f64 (log.f64 base) (pow.f64 re 6)))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))) (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (/.f64 -1 re)) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (pow.f64 (log.f64 (/.f64 -1 re)) 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 6)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2)))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 (/.f64 -1 re)) (pow.f64 im 6)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 6)))))))))))))
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(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
Outputs
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3))
(+.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))))) (pow.f64 re 2)))
(+.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (*.f64 (*.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (*.f64 im im)))) (*.f64 re re)))
(fma.f64 (/.f64 (*.f64 3/2 (pow.f64 (log.f64 im) 2)) (*.f64 (pow.f64 (log.f64 base) 3) (*.f64 im im))) (*.f64 re re) (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
(+.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))))) (pow.f64 re 2)) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))) (log.f64 im)) (log.f64 base)) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))) (pow.f64 re 4))))
(+.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (fma.f64 (*.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (*.f64 im im)))) (*.f64 re re) (*.f64 (fma.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4))) (+.f64 (/.f64 (+.f64 (/.f64 1/4 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (/.f64 (*.f64 -1/2 (log.f64 im)) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (/.f64 (log.f64 base) (log.f64 im))) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))) (pow.f64 re 4))))
(+.f64 (fma.f64 (/.f64 (*.f64 3/2 (pow.f64 (log.f64 im) 2)) (*.f64 (pow.f64 (log.f64 base) 3) (*.f64 im im))) (*.f64 re re) (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3))) (*.f64 (fma.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4))) (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4))) (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (/.f64 1/4 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (log.f64 base)) (log.f64 im)))) (pow.f64 re 4)))
(+.f64 (*.f64 (pow.f64 re 6) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (/.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6)))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6))))) (log.f64 im)) (log.f64 base)))))) (+.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))))) (pow.f64 re 2)) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))) (log.f64 im)) (log.f64 base)) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))) (pow.f64 re 4)))))
(fma.f64 (pow.f64 re 6) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/4 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (/.f64 (*.f64 -1/2 (log.f64 im)) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (*.f64 (log.f64 base) (*.f64 im im))) (fma.f64 -1/4 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6))) (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 (log.f64 base) 3)) (pow.f64 im 6)) (/.f64 (-.f64 (/.f64 (*.f64 1/3 (log.f64 im)) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6))) (/.f64 1/4 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6)))) (/.f64 (log.f64 base) (log.f64 im)))))) (+.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (fma.f64 (*.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (*.f64 im im)))) (*.f64 re re) (*.f64 (fma.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4))) (+.f64 (/.f64 (+.f64 (/.f64 1/4 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (/.f64 (*.f64 -1/2 (log.f64 im)) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (/.f64 (log.f64 base) (log.f64 im))) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))) (pow.f64 re 4)))))
(fma.f64 (pow.f64 re 6) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (/.f64 1/4 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (*.f64 im (*.f64 im (log.f64 base)))) (fma.f64 -1/4 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6))) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6))) (/.f64 (fma.f64 1/3 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6))) (/.f64 -1/4 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6)))) (/.f64 (log.f64 base) (log.f64 im)))))) (+.f64 (fma.f64 (/.f64 (*.f64 3/2 (pow.f64 (log.f64 im) 2)) (*.f64 (pow.f64 (log.f64 base) 3) (*.f64 im im))) (*.f64 re re) (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3))) (*.f64 (fma.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4))) (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4))) (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (/.f64 1/4 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (log.f64 base)) (log.f64 im)))) (pow.f64 re 4))))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 (log.f64 base) 3)))
(neg.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 re)) 3)) (pow.f64 (log.f64 base) 3))
(+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 (log.f64 base) 3))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2))))))
(+.f64 (*.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (pow.f64 (log.f64 base) 3)) (/.f64 (*.f64 im im) (*.f64 re re))) (fma.f64 -1 (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 (log.f64 base) 3)) (*.f64 1/2 (*.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (pow.f64 (log.f64 base) 3)) (/.f64 (*.f64 im im) (*.f64 re re))))))
(fma.f64 (/.f64 (pow.f64 (log.f64 re) 2) (pow.f64 (log.f64 base) 3)) (/.f64 im (/.f64 (*.f64 re re) im)) (-.f64 (*.f64 1/2 (*.f64 (/.f64 (pow.f64 (log.f64 re) 2) (pow.f64 (log.f64 base) 3)) (/.f64 im (/.f64 (*.f64 re re) im)))) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 (log.f64 base) 3))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4)) (pow.f64 (log.f64 base) 2))) (*.f64 1/4 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2)))) (log.f64 (/.f64 1 re))) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 re)) 3) (pow.f64 (log.f64 base) 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2)))) (*.f64 -1/2 (/.f64 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 im 4)) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))))))))
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (pow.f64 (log.f64 base) 3)) (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (fma.f64 -1 (*.f64 (/.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 re)) (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))) (/.f64 (*.f64 1/4 (pow.f64 im 4)) (pow.f64 (log.f64 base) 2))) (log.f64 base)) (/.f64 (neg.f64 (log.f64 re)) (pow.f64 re 4))) (+.f64 (*.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (pow.f64 (log.f64 base) 3)) (/.f64 (*.f64 im im) (*.f64 re re))) (fma.f64 -1 (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 (log.f64 base) 3)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (pow.f64 (log.f64 base) 3)) (/.f64 (*.f64 im im) (*.f64 re re))) (*.f64 -1/2 (*.f64 (/.f64 (neg.f64 (log.f64 re)) (pow.f64 (log.f64 base) 3)) (/.f64 (pow.f64 im 4) (pow.f64 re 4)))))))))
(fma.f64 -1/4 (*.f64 (/.f64 (/.f64 (pow.f64 (log.f64 re) 2) (pow.f64 (log.f64 base) 3)) (pow.f64 re 4)) (pow.f64 im 4)) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 re) 2) (pow.f64 (log.f64 base) 3)) (/.f64 im (/.f64 (*.f64 re re) im)) (-.f64 (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (log.f64 re) 2) (pow.f64 (log.f64 base) 3)) (/.f64 im (/.f64 (*.f64 re re) im))) (*.f64 -1/2 (/.f64 (neg.f64 (log.f64 re)) (/.f64 (pow.f64 re 4) (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 3)))))) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 (log.f64 base) 3)))) (*.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (/.f64 (fma.f64 1/2 (*.f64 (/.f64 (neg.f64 (log.f64 re)) (pow.f64 (log.f64 base) 2)) (pow.f64 im 4)) (/.f64 1/4 (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (pow.f64 re 4)))))
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(+.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 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re)))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (*.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 (log.f64 base)) (/.f64 im (*.f64 re re))) (*.f64 (/.f64 -1/4 (pow.f64 re 4)) (/.f64 (pow.f64 im 4) (log.f64 base)))) (/.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 (*.f64 im im) (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 (*.f64 (*.f64 (pow.f64 im 6) 120) 1/720) (*.f64 (log.f64 base) (pow.f64 re 6)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (*.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re))) (/.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))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 re 4)) (*.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re)))))
(+.f64 (*.f64 (/.f64 -1/4 (pow.f64 re 4)) (/.f64 (pow.f64 im 4) (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 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (log.f64 base)) (pow.f64 re 4)) (fma.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))) (*.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(neg.f64 (neg.f64 (/.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)))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im)))))
(-.f64 (/.f64 (*.f64 1/2 (*.f64 re re)) (*.f64 im (*.f64 im (log.f64 base)))) (neg.f64 (/.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))))))
(fma.f64 -1 (/.f64 (neg.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 (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (*.f64 1/2 (*.f64 re re)) (*.f64 im (*.f64 im (log.f64 base))))) (neg.f64 (/.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 (*.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)))))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 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))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (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) (/.f64 (log.f64 base) 120)) (pow.f64 im 6))))) (neg.f64 (/.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 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 (*.f64 re re)) (*.f64 im (*.f64 im (log.f64 base)))) (/.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 (*.f64 re re)) (*.f64 im (*.f64 im (log.f64 base))))) (/.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) (/.f64 (log.f64 base) 120)) (pow.f64 im 6)))) (/.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))) (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) (/.f64 (log.f64 base) 120)) (pow.f64 im 6))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))

eval578.0ms (4.2%)

Compiler

Compiled 24730 to 14211 computations (42.5% saved)

prune268.0ms (2%)

Pruning

28 alts after pruning (24 fresh and 4 done)

PrunedKeptTotal
New83614850
Fresh91019
Picked101
Done246
Total84828876
Error
0b
Counts
876 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
33.3b
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im)))) 3)
▶32.8b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
29.4b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3))
32.8b
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
32.9b
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
0.5b
(*.f64 1/3 (*.f64 (*.f64 3 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
✓33.2b
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
1.2b
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
✓0.3b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶0.5b
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
47.4b
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
✓32.8b
(/.f64 (log.f64 im) (log.f64 base))
32.8b
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) -1) -1)
1.3b
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
0.6b
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
32.9b
(pow.f64 (-.f64 (+.f64 1 (/.f64 (log.f64 base) (log.f64 im))) 1) -1)
▶29.4b
(/.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 (/.f64 re im) im)) re)) (log.f64 base))
▶0.5b
(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
29.3b
(cbrt.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3)) (pow.f64 (log.f64 base) 3)))
✓29.2b
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
39.7b
(/.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))
29.2b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re)))
32.8b
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
0.5b
(*.f64 1/3 (/.f64 (*.f64 3 (log.f64 (hypot.f64 re im))) (log.f64 base)))
▶47.4b
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
29.2b
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
29.2b
(pow.f64 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))) -1)
33.0b
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
Compiler

Compiled 644 to 513 computations (20.3% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series11.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

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

rewrite71.0ms (0.5%)

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))))))

simplify89.0ms (0.6%)

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)))))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.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))

rewrite55.0ms (0.4%)

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))))))))

simplify132.0ms (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
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))

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 re im) im)
✓0.2b
(/.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 (/.f64 re im) im)) re)) (log.f64 base))
✓0.3b
(/.f64 -1/2 (/.f64 (/.f64 re im) im))
✓7.3b
(log.f64 (-.f64 (/.f64 -1/2 (/.f64 (/.f64 re im) im)) re))
Compiler

Compiled 56 to 21 computations (62.5% saved)

series228.0ms (1.7%)

Counts
4 → 108
Calls

27 calls:

TimeVariablePointExpression
156.0ms
base
@0
(/.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 (/.f64 re im) im)) re)) (log.f64 base))
39.0ms
im
@0
(/.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 (/.f64 re im) im)) re)) (log.f64 base))
3.0ms
im
@inf
(log.f64 (-.f64 (/.f64 -1/2 (/.f64 (/.f64 re im) im)) re))
3.0ms
re
@-inf
(log.f64 (-.f64 (/.f64 -1/2 (/.f64 (/.f64 re im) im)) re))
2.0ms
im
@0
(log.f64 (-.f64 (/.f64 -1/2 (/.f64 (/.f64 re im) im)) re))

rewrite158.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
725×log-prod_binary64
686×prod-diff_binary64
257×fma-def_binary64
256×log-div_binary64
246×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01252
126952
2390752
Stop Event
1×node limit
Counts
4 → 147
Calls
Call 1
Inputs
(log.f64 (-.f64 (/.f64 -1/2 (/.f64 (/.f64 re im) im)) re))
(/.f64 -1/2 (/.f64 (/.f64 re im) im))
(/.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 (/.f64 re im) im)) re)) (log.f64 base))
(/.f64 (/.f64 re im) im)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) (neg.f64 re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) (neg.f64 re)))) (log.f64 (sqrt.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) (neg.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) (neg.f64 re)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) (neg.f64 re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (*.f64 -1/8 (pow.f64 (*.f64 im (/.f64 im re)) 3)) (pow.f64 re 3))) (log.f64 (/.f64 1 (fma.f64 re (fma.f64 im (*.f64 (/.f64 -1/2 re) im) re) (pow.f64 (*.f64 im (*.f64 (/.f64 -1/2 re) im)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (pow.f64 (*.f64 im (*.f64 (/.f64 -1/2 re) im)) 2) (*.f64 re re))) (log.f64 (/.f64 1 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) (neg.f64 re))))) (log.f64 (cbrt.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) (neg.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) (neg.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (/.f64 (sqrt.f64 -1/2) (/.f64 (sqrt.f64 re) im)) (sqrt.f64 re))) (log.f64 (-.f64 (/.f64 (sqrt.f64 -1/2) (/.f64 (sqrt.f64 re) im)) (sqrt.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) (neg.f64 re))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 -1/8 (pow.f64 (*.f64 im (/.f64 im re)) 3)) (pow.f64 re 3))) (log.f64 (fma.f64 re (fma.f64 im (*.f64 (/.f64 -1/2 re) im) re) (pow.f64 (*.f64 im (*.f64 (/.f64 -1/2 re) im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (*.f64 im (*.f64 (/.f64 -1/2 re) im)) 2) (*.f64 re re))) (log.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (fma.f64 re (fma.f64 im (*.f64 (/.f64 -1/2 re) im) re) (pow.f64 (*.f64 im (*.f64 (/.f64 -1/2 re) im)) 2)) (-.f64 (*.f64 -1/8 (pow.f64 (*.f64 im (/.f64 im re)) 3)) (pow.f64 re 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) re) (-.f64 (pow.f64 (*.f64 im (*.f64 (/.f64 -1/2 re) im)) 2) (*.f64 re re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (-.f64 (*.f64 -1/8 (pow.f64 (*.f64 im (/.f64 im re)) 3)) (pow.f64 re 3)))) (log.f64 (neg.f64 (fma.f64 re (fma.f64 im (*.f64 (/.f64 -1/2 re) im) re) (pow.f64 (*.f64 im (*.f64 (/.f64 -1/2 re) im)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 im (*.f64 (/.f64 -1/2 re) im)) 2) (*.f64 re re)))) (log.f64 (neg.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 -1/8 (pow.f64 (*.f64 im (/.f64 im re)) 3) (pow.f64 (neg.f64 re) 3))) (log.f64 (+.f64 (pow.f64 (*.f64 im (*.f64 (/.f64 -1/2 re) im)) 2) (-.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 (*.f64 im (*.f64 (/.f64 -1/2 re) im)) (neg.f64 re))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (*.f64 im (*.f64 (/.f64 -1/2 re) im)) 2) (*.f64 (neg.f64 re) (neg.f64 re)))) (log.f64 (fma.f64 (/.f64 -1/2 re) (*.f64 im im) (neg.f64 (neg.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) (neg.f64 re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) (neg.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) (neg.f64 re)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) (neg.f64 re)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) (neg.f64 re)))) 2) (cbrt.f64 (log.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) (neg.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) (neg.f64 re)))) (sqrt.f64 (log.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) (neg.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (log.f64 (cbrt.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) (neg.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (log.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) (neg.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) (neg.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) (neg.f64 re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) (neg.f64 re))) 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simplify219.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
938×fma-neg_binary64
663×fma-def_binary64
660×associate-+l+_binary64
483×associate-+r+_binary64
422×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01772620
14992491
215162383
357912383
Stop Event
1×node limit
Counts
255 → 235
Calls
Call 1
Inputs
(+.f64 (log.f64 (*.f64 -1/2 (pow.f64 im 2))) (*.f64 -1 (log.f64 re)))
(+.f64 (log.f64 (*.f64 -1/2 (pow.f64 im 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))) (*.f64 -1 (log.f64 re))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (+.f64 (log.f64 (*.f64 -1/2 (pow.f64 im 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))) (*.f64 -1 (log.f64 re)))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (+.f64 (log.f64 (*.f64 -1/2 (pow.f64 im 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 re 6) (pow.f64 im 6))) (*.f64 -1 (log.f64 re))))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re))))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 im 6) (pow.f64 re 6))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))))))
(*.f64 -1 (log.f64 (/.f64 -1 re)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (*.f64 -1 (log.f64 (/.f64 -1 re))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (*.f64 -1 (log.f64 (/.f64 -1 re)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 im 6) (pow.f64 re 6))) (*.f64 -1 (log.f64 (/.f64 -1 re))))))
(log.f64 (neg.f64 re))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (log.f64 (neg.f64 re)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (log.f64 (neg.f64 re))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (+.f64 (log.f64 (neg.f64 re)) (*.f64 1/24 (/.f64 (pow.f64 im 6) (pow.f64 re 6))))))
(+.f64 (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 re)))) (*.f64 -2 (log.f64 (/.f64 1 im))))
(+.f64 (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 re)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))) (*.f64 -2 (log.f64 (/.f64 1 im)))))
(+.f64 (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 re)))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (+.f64 (*.f64 2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))) (*.f64 -2 (log.f64 (/.f64 1 im))))))
(+.f64 (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 re)))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (+.f64 (*.f64 2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 re 6) (pow.f64 im 6))) (*.f64 -2 (log.f64 (/.f64 1 im)))))))
(+.f64 (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 re)))) (*.f64 -2 (log.f64 (/.f64 -1 im))))
(+.f64 (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 re)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))) (*.f64 -2 (log.f64 (/.f64 -1 im)))))
(+.f64 (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 re)))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (+.f64 (*.f64 2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))) (*.f64 -2 (log.f64 (/.f64 -1 im))))))
(+.f64 (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 re)))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (+.f64 (*.f64 2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 re 6) (pow.f64 im 6))) (*.f64 -2 (log.f64 (/.f64 -1 im)))))))
(*.f64 -1/2 (/.f64 (pow.f64 im 2) re))
(*.f64 -1/2 (/.f64 (pow.f64 im 2) re))
(*.f64 -1/2 (/.f64 (pow.f64 im 2) re))
(*.f64 -1/2 (/.f64 (pow.f64 im 2) re))
(*.f64 -1/2 (/.f64 (pow.f64 im 2) re))
(*.f64 -1/2 (/.f64 (pow.f64 im 2) re))
(*.f64 -1/2 (/.f64 (pow.f64 im 2) re))
(*.f64 -1/2 (/.f64 (pow.f64 im 2) re))
(*.f64 -1/2 (/.f64 (pow.f64 im 2) re))
(*.f64 -1/2 (/.f64 (pow.f64 im 2) re))
(*.f64 -1/2 (/.f64 (pow.f64 im 2) re))
(*.f64 -1/2 (/.f64 (pow.f64 im 2) re))
(*.f64 -1/2 (/.f64 (pow.f64 im 2) re))
(*.f64 -1/2 (/.f64 (pow.f64 im 2) re))
(*.f64 -1/2 (/.f64 (pow.f64 im 2) re))
(*.f64 -1/2 (/.f64 (pow.f64 im 2) re))
(*.f64 -1/2 (/.f64 (pow.f64 im 2) re))
(*.f64 -1/2 (/.f64 (pow.f64 im 2) re))
(*.f64 -1/2 (/.f64 (pow.f64 im 2) re))
(*.f64 -1/2 (/.f64 (pow.f64 im 2) re))
(*.f64 -1/2 (/.f64 (pow.f64 im 2) re))
(*.f64 -1/2 (/.f64 (pow.f64 im 2) re))
(*.f64 -1/2 (/.f64 (pow.f64 im 2) re))
(*.f64 -1/2 (/.f64 (pow.f64 im 2) re))
(/.f64 (+.f64 (log.f64 (*.f64 -1/2 (pow.f64 im 2))) (*.f64 -1 (log.f64 re))) (log.f64 base))
(+.f64 (*.f64 2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 re) (log.f64 base))) (/.f64 (log.f64 (*.f64 -1/2 (pow.f64 im 2))) (log.f64 base))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 re) (log.f64 base))) (/.f64 (log.f64 (*.f64 -1/2 (pow.f64 im 2))) (log.f64 base)))))
(+.f64 (*.f64 8/3 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 re) (log.f64 base))) (/.f64 (log.f64 (*.f64 -1/2 (pow.f64 im 2))) (log.f64 base))))))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base))
(+.f64 (/.f64 (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))))))
(+.f64 (/.f64 (log.f64 -1) (log.f64 base)) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (*.f64 -1/8 (/.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 -1) (log.f64 base)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (*.f64 -1/8 (/.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 -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 -1/8 (/.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 1/24 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (+.f64 (*.f64 -1/8 (/.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 (log.f64 (neg.f64 re)) (log.f64 base))
(+.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (/.f64 (log.f64 (neg.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 (neg.f64 (*.f64 1/2 (/.f64 1 re)))) (*.f64 -2 (log.f64 (/.f64 1 im)))) (log.f64 base))
(+.f64 (*.f64 2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (/.f64 (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 re)))) (log.f64 base)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (/.f64 (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 re)))) (log.f64 base)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))))
(+.f64 (*.f64 8/3 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (/.f64 (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 re)))) (log.f64 base)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))))))
(/.f64 (+.f64 (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 re)))) (*.f64 -2 (log.f64 (/.f64 -1 im)))) (log.f64 base))
(+.f64 (*.f64 2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) (/.f64 (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 re)))) (log.f64 base))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) (/.f64 (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 re)))) (log.f64 base)))))
(+.f64 (*.f64 8/3 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) (/.f64 (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 re)))) (log.f64 base))))))
(/.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)) re)) (log.f64 base))
(/.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)) re)) (log.f64 base))
(/.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)) re)) (log.f64 base))
(/.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)) re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)) re)) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)) re)) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)) re)) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)) re)) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)) re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)) re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)) re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)) re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 re (pow.f64 im 2))
(/.f64 re (pow.f64 im 2))
(/.f64 re (pow.f64 im 2))
(/.f64 re (pow.f64 im 2))
(/.f64 re (pow.f64 im 2))
(/.f64 re (pow.f64 im 2))
(/.f64 re (pow.f64 im 2))
(/.f64 re (pow.f64 im 2))
(/.f64 re (pow.f64 im 2))
(/.f64 re (pow.f64 im 2))
(/.f64 re (pow.f64 im 2))
(/.f64 re (pow.f64 im 2))
(/.f64 re (pow.f64 im 2))
(/.f64 re (pow.f64 im 2))
(/.f64 re (pow.f64 im 2))
(/.f64 re (pow.f64 im 2))
(/.f64 re (pow.f64 im 2))
(/.f64 re (pow.f64 im 2))
(/.f64 re (pow.f64 im 2))
(/.f64 re (pow.f64 im 2))
(/.f64 re (pow.f64 im 2))
(/.f64 re (pow.f64 im 2))
(/.f64 re (pow.f64 im 2))
(/.f64 re (pow.f64 im 2))
Outputs
(+.f64 (log.f64 (*.f64 -1/2 (pow.f64 im 2))) (*.f64 -1 (log.f64 re)))
(+.f64 (log.f64 (*.f64 -1/2 (*.f64 im im))) (neg.f64 (log.f64 re)))
(-.f64 (log.f64 (*.f64 -1/2 (*.f64 im im))) (log.f64 re))
(+.f64 (log.f64 (/.f64 -1/2 re)) (*.f64 2 (log.f64 im)))
(+.f64 (log.f64 (/.f64 -1/2 re)) (log.f64 (*.f64 im im)))
(+.f64 (log.f64 (*.f64 -1/2 (pow.f64 im 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))) (*.f64 -1 (log.f64 re))))
(+.f64 (log.f64 (*.f64 -1/2 (*.f64 im im))) (fma.f64 2 (/.f64 (*.f64 re re) (*.f64 im im)) (neg.f64 (log.f64 re))))
(+.f64 (log.f64 (*.f64 -1/2 (*.f64 im im))) (fma.f64 2 (*.f64 (/.f64 re im) (/.f64 re im)) (neg.f64 (log.f64 re))))
(+.f64 (log.f64 (/.f64 -1/2 re)) (*.f64 2 (+.f64 (log.f64 im) (/.f64 re (*.f64 (/.f64 im re) im)))))
(+.f64 (log.f64 (/.f64 -1/2 re)) (*.f64 2 (+.f64 (log.f64 im) (*.f64 (/.f64 re (*.f64 im im)) re))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (+.f64 (log.f64 (*.f64 -1/2 (pow.f64 im 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))) (*.f64 -1 (log.f64 re)))))
(fma.f64 -2 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (+.f64 (log.f64 (*.f64 -1/2 (*.f64 im im))) (fma.f64 2 (/.f64 (*.f64 re re) (*.f64 im im)) (neg.f64 (log.f64 re)))))
(+.f64 (fma.f64 2 (*.f64 (/.f64 re im) (/.f64 re im)) (neg.f64 (log.f64 re))) (fma.f64 -2 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 (*.f64 -1/2 (*.f64 im im)))))
(+.f64 (log.f64 (/.f64 -1/2 re)) (fma.f64 -2 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (*.f64 2 (+.f64 (log.f64 im) (/.f64 re (*.f64 (/.f64 im re) im))))))
(+.f64 (log.f64 (/.f64 -1/2 re)) (fma.f64 -2 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (*.f64 2 (+.f64 (log.f64 im) (*.f64 (/.f64 re (*.f64 im im)) re)))))
(+.f64 (*.f64 -2 (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (+.f64 (log.f64 (*.f64 -1/2 (pow.f64 im 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 re 6) (pow.f64 im 6))) (*.f64 -1 (log.f64 re))))))
(fma.f64 -2 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (+.f64 (log.f64 (*.f64 -1/2 (*.f64 im im))) (fma.f64 2 (/.f64 (*.f64 re re) (*.f64 im im)) (fma.f64 8/3 (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (neg.f64 (log.f64 re))))))
(+.f64 (-.f64 (fma.f64 2 (*.f64 (/.f64 re im) (/.f64 re im)) (*.f64 8/3 (/.f64 (pow.f64 re 6) (pow.f64 im 6)))) (log.f64 re)) (fma.f64 -2 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 (*.f64 -1/2 (*.f64 im im)))))
(+.f64 (log.f64 (/.f64 -1/2 re)) (fma.f64 -2 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (fma.f64 8/3 (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (*.f64 2 (+.f64 (log.f64 im) (/.f64 re (*.f64 (/.f64 im re) im)))))))
(+.f64 (fma.f64 8/3 (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (*.f64 2 (+.f64 (log.f64 im) (*.f64 (/.f64 re (*.f64 im im)) re)))) (fma.f64 -2 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 (/.f64 -1/2 re))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re))))
(+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 re))))
(log.f64 (neg.f64 re))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))))
(fma.f64 1/2 (/.f64 (*.f64 im im) (*.f64 re re)) (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 re)))))
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(/.f64 re (pow.f64 im 2))
(/.f64 re (*.f64 im im))
(/.f64 re (pow.f64 im 2))
(/.f64 re (*.f64 im im))
(/.f64 re (pow.f64 im 2))
(/.f64 re (*.f64 im im))
(/.f64 re (pow.f64 im 2))
(/.f64 re (*.f64 im im))
(/.f64 re (pow.f64 im 2))
(/.f64 re (*.f64 im im))
(/.f64 re (pow.f64 im 2))
(/.f64 re (*.f64 im im))
(/.f64 re (pow.f64 im 2))
(/.f64 re (*.f64 im im))
(/.f64 re (pow.f64 im 2))
(/.f64 re (*.f64 im im))
(/.f64 re (pow.f64 im 2))
(/.f64 re (*.f64 im im))
(/.f64 re (pow.f64 im 2))
(/.f64 re (*.f64 im im))

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
✓0.1b
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
0.2b
(/.f64 (log.f64 im) (log.f64 base))
Compiler

Compiled 29 to 10 computations (65.5% saved)

series12.0ms (0.1%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
2.0ms
im
@inf
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
1.0ms
im
@-inf
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
1.0ms
im
@0
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
1.0ms
base
@-inf
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
1.0ms
base
@inf
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)

rewrite135.0ms (1%)

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: 0 (0.0ms)

IterNodesCost
0918
118418
2194418
Stop Event
1×node limit
Counts
2 → 71
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(sqrt.f64 (/.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 (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 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (cbrt.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (log.f64 im)) (*.f64 (sqrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/4) (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/4) (sqrt.f64 (/.f64 (log.f64 im) (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 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/4)) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (/.f64 (log.f64 im) (log.f64 base))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 im) (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 (cbrt.f64 (pow.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 /.f64 (*.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (log.f64 im))) (sqrt.f64 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (/.f64 1 (log.f64 base)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 im)) (/.f64 1 (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/4) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (log.f64 im))) (sqrt.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (log.f64 im))) (neg.f64 (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.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)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.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)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))))

simplify176.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
534×fma-neg_binary64
312×distribute-neg-frac_binary64
307×distribute-rgt-neg-in_binary64
302×distribute-lft-neg-in_binary64
301×distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038480
166472
2122472
3336408
41488408
55235408
Stop Event
1×node limit
Counts
111 → 81
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 (*.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 (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 (*.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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 im)) (log.f64 (/.f64 1 base)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 im)) (log.f64 (/.f64 1 base)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 im)) (log.f64 (/.f64 1 base)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (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 (sqrt.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (sqrt.f64 -1))
(sqrt.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(sqrt.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 im))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 im))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 im))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 im)) (log.f64 (/.f64 1 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 im)) (log.f64 (/.f64 1 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 im)) (log.f64 (/.f64 1 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (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 (sqrt.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))))
(sqrt.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)))
(sqrt.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)))
(sqrt.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)))
(sqrt.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)))
(sqrt.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)))
(sqrt.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)))
(sqrt.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)))
(sqrt.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)))
(sqrt.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))))
(sqrt.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)))
(sqrt.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)))
(sqrt.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)))
(sqrt.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)))
(sqrt.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 re im)
✓0.2b
(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
0.3b
(/.f64 1 (log.f64 (hypot.f64 re im)))
✓0.3b
(*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base))
Compiler

Compiled 43 to 18 computations (58.1% saved)

series31.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
22.0ms
base
@-inf
(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
1.0ms
re
@-inf
(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
1.0ms
re
@inf
(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
1.0ms
im
@-inf
(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
1.0ms
im
@inf
(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)

rewrite68.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
515×log-prod_binary64
400×exp-prod_binary64
290×pow-prod-down_binary64
286×pow2_binary64
210×pow-to-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01225
123622
2268822
Stop Event
1×node limit
Counts
2 → 92
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base))
(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (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 base (/.f64 1 (log.f64 (hypot.f64 re im))))) 2)) (log.f64 (cbrt.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))))) (log.f64 (sqrt.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (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 /.f64 (/.f64 (log.f64 base) 1) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (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 -1 (log.f64 base)) (neg.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) -1) (neg.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 (E.f64) (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(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 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2) 1/2)))) (#(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 (hypot.f64 re im)) (log.f64 base))) -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 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 (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 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 2)) (cbrt.f64 (log.f64 (/.f64 (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 (log.f64 base) (log.f64 (hypot.f64 re im)))))) (sqrt.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 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 3 (log.f64 (/.f64 (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 (log.f64 base) (log.f64 (hypot.f64 re im))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (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 (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 (log.f64 (log.f64 base)) (*.f64 (neg.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 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im)))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)))))))
((#(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 (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 (/.f64 1 (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 (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 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 (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 (/.f64 1 (log.f64 base)) (/.f64 1 (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 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 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 (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 base) (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 (log.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3)) 1/3))))) (#(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 (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 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1) -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 exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1) (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im)))) -1) (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 (*.f64 (neg.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 (*.f64 (log.f64 (log.f64 base)) -1) (neg.f64 (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 (neg.f64 (log.f64 (log.f64 base))) (*.f64 (neg.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 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1/2) (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1)))))))

simplify252.0ms (1.8%)

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
164 → 192
Calls
Call 1
Inputs
(/.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))))
(+.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 -1/2 (/.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 -1/4 (/.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 (+.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 im 6))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (*.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 (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))))))
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(+.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))))))
(/.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 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 (log.f64 base) (/.f64 (*.f64 (pow.f64 (log.f64 im) 2) (*.f64 im im)) (*.f64 re re))) (/.f64 (log.f64 base) (log.f64 im)))
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 base) (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 (log.f64 base) (/.f64 (*.f64 (pow.f64 (log.f64 im) 2) (*.f64 im im)) (*.f64 re re))) (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 re im) (/.f64 re im)) (/.f64 (log.f64 base) (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 (log.f64 base) (*.f64 (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 (log.f64 im) (*.f64 im im))))) (pow.f64 re 6)) (fma.f64 -1/2 (/.f64 (log.f64 base) (/.f64 (*.f64 (pow.f64 (log.f64 im) 2) (*.f64 im im)) (*.f64 re re))) (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 re im) (/.f64 re im)) (/.f64 (log.f64 base) (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 (log.f64 base) (*.f64 (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 (log.f64 base) (*.f64 (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 (log.f64 base) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2))))) (*.f64 im (*.f64 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 (log.f64 base) (pow.f64 (log.f64 re) 2)) (*.f64 (/.f64 im re) (/.f64 im re)))) (/.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 (log.f64 base) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 4))) (*.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))))))
(-.f64 (-.f64 (*.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 re) 2)) (*.f64 (/.f64 im re) (/.f64 im re)))) (/.f64 (log.f64 base) (neg.f64 (log.f64 re)))) (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (/.f64 (pow.f64 (log.f64 re) 2) (log.f64 base))) (/.f64 (*.f64 (log.f64 base) 1/4) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 4)))) (pow.f64 re 4)))
(+.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))))))
(fma.f64 -1 (/.f64 (fma.f64 1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 4))) (*.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))) (fma.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (*.f64 re re)) (/.f64 (*.f64 im im) (pow.f64 (neg.f64 (log.f64 re)) 2))) (neg.f64 (/.f64 (fma.f64 -1/8 (/.f64 (log.f64 base) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (fma.f64 1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 4))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (neg.f64 (log.f64 re)) 2)))) (/.f64 (neg.f64 (log.f64 re)) (*.f64 im im))) (/.f64 (*.f64 1/720 (*.f64 (log.f64 base) (*.f64 (pow.f64 im 6) 120))) (pow.f64 (neg.f64 (log.f64 re)) 2)))) (pow.f64 re 6))))))
(-.f64 (-.f64 (-.f64 (*.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 re) 2)) (*.f64 (/.f64 im re) (/.f64 im re)))) (/.f64 (log.f64 base) (neg.f64 (log.f64 re)))) (/.f64 (fma.f64 -1/8 (*.f64 (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) 3)) (pow.f64 im 6)) (fma.f64 1/720 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 re) 2)) (*.f64 (pow.f64 im 6) 120)) (/.f64 (*.f64 (*.f64 (*.f64 im im) 1/2) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (/.f64 (pow.f64 (log.f64 re) 2) (log.f64 base))) (/.f64 (*.f64 (log.f64 base) 1/4) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 4))))) (neg.f64 (log.f64 re))))) (pow.f64 re 6))) (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (/.f64 (pow.f64 (log.f64 re) 2) (log.f64 base))) (/.f64 (*.f64 (log.f64 base) 1/4) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 4)))) (pow.f64 re 4)))
(-.f64 (-.f64 (-.f64 (*.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 re) 2)) (*.f64 (/.f64 im re) (/.f64 im re)))) (/.f64 (log.f64 base) (neg.f64 (log.f64 re)))) (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (/.f64 (pow.f64 (log.f64 re) 2) (log.f64 base))) (/.f64 (*.f64 (log.f64 base) 1/4) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 4)))) (pow.f64 re 4))) (/.f64 (fma.f64 -1/8 (*.f64 (/.f64 (log.f64 base) (pow.f64 (neg.f64 (log.f64 re)) 3)) (pow.f64 im 6)) (fma.f64 1/720 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 re) 2)) (*.f64 (pow.f64 im 6) 120)) (/.f64 (*.f64 (*.f64 (*.f64 im im) 1/2) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (/.f64 (pow.f64 (log.f64 re) 2) (log.f64 base))) (/.f64 (*.f64 (log.f64 base) 1/4) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 3) (pow.f64 im 4))))) (neg.f64 (log.f64 re))))) (pow.f64 re 6)))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(neg.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(/.f64 (neg.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)))))
(fma.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))) (*.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (*.f64 re re)) (/.f64 (*.f64 im im) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))))
(fma.f64 -1/2 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (*.f64 (/.f64 im re) (/.f64 im re)))) (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 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)) 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))))))
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(-.f64 (-.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im))) (/.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 (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 re 4)) (/.f64 (*.f64 (*.f64 (pow.f64 re 4) 1/4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))) (pow.f64 im 4))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im))) (+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)) (/.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 (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 re 4)) (/.f64 (*.f64 (*.f64 (pow.f64 re 4) 1/4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))) (pow.f64 im 4))))
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(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 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (*.f64 1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 re 4))))))))) (/.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 1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 re 4))))))) (/.f64 (*.f64 1/720 (*.f64 (log.f64 base) (*.f64 (pow.f64 re 6) 120))) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))))) (/.f64 (*.f64 1/2 (*.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 1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 re 4))))))) (pow.f64 (log.f64 base) 2)))) (pow.f64 im 6)) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (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 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (*.f64 1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 re 4))))))))) (pow.f64 im 4)) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(-.f64 (-.f64 (-.f64 (*.f64 (/.f64 1/2 (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im))) (/.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 (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 re 4)) (/.f64 (*.f64 (*.f64 (pow.f64 re 4) 1/4) (log.f64 base)) (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 (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 re 4)) (/.f64 (*.f64 (*.f64 (pow.f64 re 4) 1/4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))) (log.f64 (/.f64 -1 im))) (*.f64 re re)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) 1/2) (fma.f64 -1/4 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 re 4)) (/.f64 (*.f64 (*.f64 (pow.f64 re 4) 1/4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 im)) 3)))) (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 (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 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 re 4)) (/.f64 (*.f64 (*.f64 (pow.f64 re 4) 1/4) (log.f64 base)) (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 1/2 (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im))) (+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)) (/.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 (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 re 4)) (/.f64 (*.f64 (*.f64 (pow.f64 re 4) 1/4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))) (pow.f64 im 4)))) (/.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 (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 re 4)) (/.f64 (*.f64 (*.f64 (pow.f64 re 4) 1/4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))))) (log.f64 (/.f64 -1 im))) (*.f64 re re)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) 1/2) (fma.f64 -1/4 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 re 4)) (/.f64 (*.f64 (*.f64 (pow.f64 re 4) 1/4) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 im)) 3)))) (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 (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 (log.f64 (/.f64 -1 im)) 2)) (pow.f64 re 4)) (/.f64 (*.f64 (*.f64 (pow.f64 re 4) 1/4) (log.f64 base)) (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 (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))))

eval828.0ms (6%)

Compiler

Compiled 26547 to 15866 computations (40.2% saved)

prune473.0ms (3.4%)

Pruning

29 alts after pruning (22 fresh and 7 done)

PrunedKeptTotal
New97812990
Fresh91019
Picked101
Done178
Total989291018
Error
0b
Counts
1018 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
33.3b
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im)))) 3)
29.5b
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 (/.f64 re im) im)) re))))
✓32.8b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
16.2b
(/.f64 (/.f64 1 (log.f64 base)) (exp.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im))))))
0.5b
(*.f64 1/3 (*.f64 (*.f64 3 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
32.9b
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
0.5b
(*.f64 1/3 (/.f64 (*.f64 3 (log.f64 (hypot.f64 re im))) (log.f64 base)))
1.2b
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
32.8b
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
✓47.4b
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
✓0.3b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
32.8b
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
29.3b
(pow.f64 (*.f64 (/.f64 1 (log.f64 (neg.f64 re))) (log.f64 base)) -1)
✓33.2b
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
29.5b
(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) (neg.f64 re))))) (log.f64 base))
✓32.8b
(/.f64 (log.f64 im) (log.f64 base))
32.8b
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) -1) -1)
32.9b
(pow.f64 (-.f64 (+.f64 1 (/.f64 (log.f64 base) (log.f64 im))) 1) -1)
✓29.4b
(/.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 (/.f64 re im) im)) re)) (log.f64 base))
47.4b
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
29.3b
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (neg.f64 re))))
33.0b
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
✓29.2b
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
29.2b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re)))
47.6b
(pow.f64 (-.f64 (+.f64 1 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1) 2)
29.4b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3))
29.2b
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
29.2b
(pow.f64 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))) -1)
0.6b
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
Compiler

Compiled 366 to 293 computations (19.9% saved)

regimes317.0ms (2.3%)

Counts
72 → 1
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(-.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 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (neg.f64 re))))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 (/.f64 re im) im)) re)) (log.f64 base))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 (/.f64 re im) im)) re))))
(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))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))) -1)
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(pow.f64 (*.f64 (/.f64 1 (log.f64 (neg.f64 re))) (log.f64 base)) -1)
(pow.f64 (-.f64 (+.f64 1 (/.f64 (log.f64 base) (log.f64 im))) 1) -1)
(*.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) (log.f64 (hypot.f64 re im)))
(*.f64 1/3 (/.f64 (*.f64 3 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(/.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 1/3 (*.f64 (*.f64 3 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3))
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) -1) -1)
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
(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)
(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im)))) 3)
(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
(pow.f64 (-.f64 (+.f64 1 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1) 2)
(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (fma.f64 im (*.f64 (/.f64 -1/2 re) im) (neg.f64 re))))) (log.f64 base))
(log1p.f64 (expm1.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))))
(log1p.f64 (expm1.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 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(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 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1) -1)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -3) -1/3)
(/.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 3) 1/3)) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(/.f64 (/.f64 1 (log.f64 base)) (exp.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im))))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(cbrt.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3)) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3)) (pow.f64 (log.f64 base) 3)))
(neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (log.f64 base)) 2)
(/.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)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) (pow.f64 (log.f64 base) 6)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.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 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (log.f64 base)))
Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Calls

5 calls:

109.0ms
(log.f64 base)
54.0ms
(/.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)))
48.0ms
base
45.0ms
im
37.0ms
re
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 835 to 374 computations (55.2% saved)

regimes417.0ms (3%)

Counts
19 → 2
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(-.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 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (neg.f64 re))))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 (/.f64 re im) im)) re)) (log.f64 base))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 (/.f64 re im) im)) re))))
(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 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 (/.f64 re im) im)) re)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
Calls

5 calls:

129.0ms
(log.f64 base)
125.0ms
(log.f64 base)
109.0ms
base
28.0ms
re
21.0ms
im
Results
ErrorSegmentsBranch
8.1b2re
7.9b2im
19.7b12base
19.7b12(log.f64 base)
19.7b12(log.f64 base)
Compiler

Compiled 188 to 100 computations (46.8% saved)

bsearch44.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
44.0ms
1.5183818738866367e-94
8.753206732107227e-91
Compiler

Compiled 37 to 25 computations (32.4% saved)

regimes457.0ms (3.3%)

Counts
13 → 2
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(-.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 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (neg.f64 re))))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
Outputs
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
Calls

5 calls:

240.0ms
(log.f64 base)
88.0ms
base
86.0ms
(log.f64 base)
25.0ms
re
15.0ms
im
Results
ErrorSegmentsBranch
8.1b2re
7.9b2im
19.7b12base
19.7b12(log.f64 base)
19.7b12(log.f64 base)
Compiler

Compiled 130 to 70 computations (46.2% saved)

bsearch43.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
43.0ms
1.5183818738866367e-94
8.753206732107227e-91
Compiler

Compiled 37 to 25 computations (32.4% saved)

regimes193.0ms (1.4%)

Accuracy

Total -53.5b remaining (-675.2%)

Threshold costs -53.5b (-675.2%)

Counts
12 → 2
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(-.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 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (neg.f64 re))))
Outputs
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
Calls

4 calls:

74.0ms
base
74.0ms
(log.f64 base)
20.0ms
re
20.0ms
im
Results
ErrorSegmentsBranch
8.1b2re
7.9b2im
19.7b12base
19.7b12(log.f64 base)
Compiler

Compiled 115 to 60 computations (47.8% saved)

bsearch45.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
44.0ms
1.5183818738866367e-94
8.753206732107227e-91
Compiler

Compiled 37 to 25 computations (32.4% saved)

simplify10.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
032106
139106
245106
349106
452106
553106
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(if (<=.f64 im 5705575180375511/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (/.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 (/.f64 re im) im)) re)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(if (<=.f64 im 5705575180375511/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(if (<=.f64 im 5705575180375511/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (/.f64 (log.f64 (neg.f64 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 5705575180375511/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (/.f64 (log.f64 (-.f64 (/.f64 -1/2 (/.f64 (/.f64 re im) im)) re)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(if (<=.f64 im 5705575180375511/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(if (<=.f64 im 5705575180375511/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (neg.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(if (<=.f64 im 5705575180375511/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
Compiler

Compiled 82 to 57 computations (30.5% saved)

soundness170.0ms (1.2%)

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)

end42.0ms (0.3%)

Remove

(sort re im)

Compiler

Compiled 90 to 47 computations (47.8% saved)

Profiling

Loading profile data...