Details

Time bar (total: 10.5s)

analyze488.0ms (4.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
6.3%4.7%70.2%0.1%0%25%0%7
11.5%8.6%66.3%0.1%0%25%0%8
18.2%13.7%61.2%0.1%0%25%0%9
32.8%20.5%41.9%0.1%0%37.4%0%10
38.9%24.3%38.1%0.1%0%37.4%0%11
45.7%28.5%33.9%0.1%0%37.4%0%12
Compiler

Compiled 32 to 21 computations (34.4% saved)

sample2.7s (26.1%)

Results
2.3s8256×body256valid
424.0ms2091×body256invalid
Bogosity

preprocess71.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
05088
19284
210984
314256
419944
522444
664744
7241844
8401244
9440844
10537144
11663644
033
133
Stop Event
1×unsound
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
0
2
Call 2
Inputs
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) (*.f64 (atan2.f64 re im) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 base base) (*.f64 im im)))) (log.f64 re)) (*.f64 (atan2.f64 im base) 0)) (+.f64 (*.f64 (log.f64 re) (log.f64 re)) (*.f64 0 0)))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 base base)))) (log.f64 im)) (*.f64 (atan2.f64 base re) 0)) (+.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 0 0)))
Outputs
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) (*.f64 (atan2.f64 re im) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 base base) (*.f64 im im)))) (log.f64 re)) (*.f64 (atan2.f64 im base) 0)) (+.f64 (*.f64 (log.f64 re) (log.f64 re)) (*.f64 0 0)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 base im)) (log.f64 re) 0) (*.f64 (log.f64 re) (log.f64 re)))
(/.f64 (*.f64 (log.f64 (hypot.f64 im base)) (log.f64 re)) (*.f64 (log.f64 re) (log.f64 re)))
(*.f64 (/.f64 (log.f64 (hypot.f64 im base)) (log.f64 re)) (/.f64 (log.f64 re) (log.f64 re)))
(*.f64 (/.f64 (log.f64 (hypot.f64 im base)) (log.f64 re)) 1)
(/.f64 (log.f64 (hypot.f64 im base)) (log.f64 re))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 base base)))) (log.f64 im)) (*.f64 (atan2.f64 base re) 0)) (+.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 0 0)))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re base)) (log.f64 im) 0) (*.f64 (log.f64 im) (log.f64 im)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re base)) (log.f64 im)) (*.f64 (log.f64 im) (log.f64 im)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re base)) (log.f64 im)) (/.f64 (log.f64 im) (log.f64 im)))
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re base)) (log.f64 im)))
(/.f64 (log.f64 (hypot.f64 re base)) (log.f64 im))
Symmetry

(sort re im)

Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify75.0ms (0.7%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
01922
13121
23821
34914
46611
57511
622011
792211
8152811
9174511
10224211
11273311
12362411
13563611
14682211
15738211
Stop Event
1×node limit
Counts
1 → 6
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 87 to 32 computations (63.2% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New426
Fresh101
Picked000
Done000
Total527
Error
0.3b
Counts
7 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.5b
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
▶0.4b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Compiler

Compiled 26 to 16 computations (38.5% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Compiler

Compiled 22 to 7 computations (68.2% saved)

series78.0ms (0.7%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
48.0ms
base
@0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
12.0ms
base
@-inf
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
7.0ms
base
@inf
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
4.0ms
re
@inf
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
2.0ms
re
@0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

rewrite45.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
115811
2194611
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))))

simplify59.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
797×fma-neg_binary64
504×times-frac_binary64
464×associate-/l*_binary64
457×fma-def_binary64
383×log-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01901841
14931504
215121468
362181468
Stop Event
1×node limit
Counts
67 → 118
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)))))
(-.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.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))
(*.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))))
(*.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))))
(*.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))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.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)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.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 (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))))
(*.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))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.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))))
(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)) 3) 1/3)
(pow.f64 (cbrt.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 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
Outputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im)))))
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 1/2 (/.f64 (/.f64 (*.f64 re re) im) (*.f64 im (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (*.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)))))
(fma.f64 1/2 (/.f64 (/.f64 (*.f64 re re) im) (*.f64 im (log.f64 base))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (*.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base))))))
(fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 base)) (pow.f64 im 6)) (fma.f64 1/2 (/.f64 (/.f64 (*.f64 re re) im) (*.f64 im (log.f64 base))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re)))))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 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 im (log.f64 base)) (/.f64 im (*.f64 re re)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 (/.f64 1/2 (log.f64 base)) (*.f64 (/.f64 im re) (/.f64 im re)) (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 im (log.f64 base)) (/.f64 im (*.f64 re re))) (*.f64 1/720 (/.f64 (/.f64 (*.f64 (pow.f64 im 6) 120) (log.f64 base)) (pow.f64 re 6)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 base)) (fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (fma.f64 1/720 (*.f64 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))) 120) (/.f64 (log.f64 re) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(/.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (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 im (log.f64 base)) (/.f64 im (*.f64 re re)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (*.f64 (*.f64 (/.f64 im (log.f64 base)) im) (/.f64 1/2 (*.f64 re re))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (*.f64 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 im (log.f64 base)) (/.f64 im (*.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 (log.f64 base)) im) (/.f64 1/2 (*.f64 re re)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (fma.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re))) (*.f64 1/720 (/.f64 (*.f64 (pow.f64 im 6) 120) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (*.f64 1/720 (/.f64 (/.f64 (*.f64 (pow.f64 im 6) 120) (log.f64 base)) (pow.f64 re 6)))) (/.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)) (fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (*.f64 (/.f64 (pow.f64 im 6) (/.f64 (log.f64 base) 120)) (/.f64 1/720 (pow.f64 re 6))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (log.f64 re) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re)))))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 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 im (log.f64 base)) (/.f64 im (*.f64 re re)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 (/.f64 1/2 (log.f64 base)) (*.f64 (/.f64 im re) (/.f64 im re)) (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 (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 (pow.f64 im 4) (*.f64 (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 im im) (*.f64 (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 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))) (*.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re)))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (fma.f64 (/.f64 1/6 (log.f64 base)) (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 base)) (*.f64 (*.f64 (/.f64 im (log.f64 base)) im) (/.f64 1/2 (*.f64 re re))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
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(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.4b
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓0.4b
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
✓0.5b
(*.f64 (log.f64 base) (log.f64 base))
Compiler

Compiled 40 to 9 computations (77.5% saved)

series9.0ms (0.1%)

Counts
3 → 84
Calls

21 calls:

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

rewrite59.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
545×log-prod_binary64
411×exp-prod_binary64
321×pow-prod-down_binary64
260×pow2_binary64
208×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
120528
2277328
Stop Event
1×node limit
Counts
3 → 117
Calls
Call 1
Inputs
(*.f64 (log.f64 base) (log.f64 base))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 base (log.f64 base))) 2)) (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 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)))) (#(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) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) 4) 1/2)))) (#(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 (cbrt.f64 (log.f64 base)) 6)))) (#(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 pow.f64 (sqrt.f64 (log.f64 base)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 2) (log.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 2 (log.f64 (log.f64 base)))) 2)) (cbrt.f64 (*.f64 2 (log.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (log.f64 (log.f64 base))))) (sqrt.f64 (*.f64 2 (log.f64 (log.f64 base)))))))) (#(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 exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 base)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1) 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 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))))) (#(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 base) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -2))))) (#(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 (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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 (hypot.f64 re im)))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 1 (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 (pow.f64 (log.f64 base) -1/2) (/.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 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (/.f64 (log.f64 (hypot.f64 re im)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(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 (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 (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)) 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 (exp.f64 1) (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) (pow.f64 (log.f64 base) 6)) 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 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1) -1)))) (#(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 (log.f64 base) (log.f64 (hypot.f64 re im))) (neg.f64 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) (pow.f64 (log.f64 base) 6)))))) (#(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 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 (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 (log.f64 (hypot.f64 re im)))) 2)) (log.f64 (cbrt.f64 (pow.f64 base (log.f64 (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 base (log.f64 (hypot.f64 re im))))) (log.f64 (sqrt.f64 (pow.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 im))))) 1)))) (#(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 (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 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 (exp.f64 1) (log.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (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 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 base (log.f64 (hypot.f64 re im))) 1)))))) (#(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 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 base (log.f64 (hypot.f64 re im))) 1))))) (#(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))))))

simplify87.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
392×distribute-rgt-in_binary64
379×distribute-lft-in_binary64
277×associate-/r/_binary64
245×associate-/l/_binary64
237×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04544627
111613771
236993713
Stop Event
1×node limit
Counts
201 → 306
Calls
Call 1
Inputs
(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 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)))))
(*.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 0 (pow.f64 (log.f64 base) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 base (log.f64 base))) 2)) (log.f64 (cbrt.f64 (pow.f64 base (log.f64 base)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))) (log.f64 (sqrt.f64 (pow.f64 base (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)
(pow.f64 (log.f64 base) 2)
(pow.f64 (pow.f64 (log.f64 base) 2) 1)
(pow.f64 (pow.f64 (log.f64 base) 3) 2/3)
(pow.f64 (pow.f64 (log.f64 base) 4) 1/2)
(pow.f64 (pow.f64 (log.f64 base) 6) 1/3)
(pow.f64 (cbrt.f64 (log.f64 base)) 6)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)
(pow.f64 (sqrt.f64 (log.f64 base)) 4)
(pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (log.f64 base))))
(pow.f64 (exp.f64 2) (log.f64 (log.f64 base)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 2 (log.f64 (log.f64 base)))) 2)) (cbrt.f64 (*.f64 2 (log.f64 (log.f64 base)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (log.f64 (log.f64 base))))) (sqrt.f64 (*.f64 2 (log.f64 (log.f64 base)))))
(sqrt.f64 (pow.f64 (log.f64 base) 4))
(log.f64 (pow.f64 base (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))
(cbrt.f64 (pow.f64 (log.f64 base) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) 6)) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 base)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1) 1))
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(+.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))))))
(+.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))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -2))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(*.f64 1 (/.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 (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))
(*.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))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 base) -2)))
(*.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))))
(*.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 (hypot.f64 re im)))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (/.f64 1 (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (log.f64 (hypot.f64 re im)) 1))
(*.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)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (log.f64 base)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.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)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.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))))
(*.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))))
(*.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))))
(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)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(pow.f64 (cbrt.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 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(pow.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) (pow.f64 (log.f64 base) 6)) 1/3)
(pow.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1) -1)
(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)))))
(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)))))
(neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (neg.f64 (pow.f64 (log.f64 base) 2))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.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)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) (pow.f64 (log.f64 base) 6)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1) 1))
(+.f64 0 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 base (log.f64 (hypot.f64 re im)))) 2)) (log.f64 (cbrt.f64 (pow.f64 base (log.f64 (hypot.f64 re im))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 base (log.f64 (hypot.f64 re im))))) (log.f64 (sqrt.f64 (pow.f64 base (log.f64 (hypot.f64 re im))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 1)
(pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1)
(pow.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(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))))))
(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))))))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2))
(log.f64 (pow.f64 base (log.f64 (hypot.f64 re im))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 base (log.f64 (hypot.f64 re im))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(log1p.f64 (-.f64 (pow.f64 base (log.f64 (hypot.f64 re im))) 1))
(exp.f64 (log.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1) 1))
Outputs
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2)
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 (*.f64 1/2 (*.f64 re re)) (*.f64 (log.f64 base) (*.f64 im im))))
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 1/2 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (*.f64 -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 im) (/.f64 re im)) (log.f64 base)) (*.f64 (/.f64 -1/4 (*.f64 (log.f64 base) (pow.f64 im 4))) (pow.f64 re 4))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))))
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(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re 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 im re)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1) 1))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))

eval121.0ms (1.2%)

Compiler

Compiled 10054 to 4416 computations (56.1% saved)

prune80.0ms (0.8%)

Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New40123424
Fresh000
Picked101
Done011
Total40224426
Error
0b
Counts
426 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.3b
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
▶0.4b
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
31.3b
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
1.4b
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
29.4b
(/.f64 (/.f64 (log.f64 (hypot.f64 im re)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
0.8b
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 4)))
29.1b
(/.f64 (*.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
▶32.2b
(/.f64 (*.f64 (log.f64 base) (log.f64 im)) (*.f64 (log.f64 base) (log.f64 base)))
29.1b
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
✓0.4b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶32.1b
(/.f64 (log.f64 im) (log.f64 base))
0.6b
(-.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
17.4b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
0.5b
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
1.1b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
0.5b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
0.5b
(*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
1.7b
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) (/.f64 1 (log.f64 base))))))
1.7b
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
0.7b
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
1.9b
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
17.1b
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
31.2b
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
▶0.7b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
Compiler

Compiled 654 to 471 computations (28% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 32 to 10 computations (68.8% saved)

series25.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

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

rewrite59.0ms (0.6%)

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))))))))

simplify115.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
384×fma-def_binary64
383×times-frac_binary64
376×associate-/r*_binary64
375×associate-/l*_binary64
345×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05957471
118196594
274156594
Stop Event
1×node limit
Counts
143 → 224
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)))
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(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2)
(neg.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 (hypot.f64 re im)))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2))
(log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(exp.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(-.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.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)))
(*.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))))
(*.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))))
(*.f64 (pow.f64 (log.f64 base) -1) (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) -1))
(*.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))
(*.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))
(*.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)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.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 (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))))
(*.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))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.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))))
(*.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))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(/.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)))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (log.f64 base))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im))))
(/.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)))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2))
(log.f64 (exp.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)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re 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 (log.f64 base) (/.f64 (*.f64 (*.f64 im im) (pow.f64 (log.f64 im) 2)) (*.f64 re re))) (/.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 (log.f64 base) (/.f64 (*.f64 (*.f64 im im) (pow.f64 (log.f64 im) 2)) (*.f64 re re))) (fma.f64 -1 (*.f64 (*.f64 -1/4 (+.f64 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4))) (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4)) (/.f64 (log.f64 base) (log.f64 im))))
(fma.f64 -1/2 (/.f64 (/.f64 (*.f64 (log.f64 base) (*.f64 re re)) (*.f64 im im)) (pow.f64 (log.f64 im) 2)) (fma.f64 (*.f64 1/4 (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 3)) (pow.f64 im 4)) (/.f64 (/.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 im) 2)))) (pow.f64 re 4) (/.f64 (log.f64 base) (log.f64 im))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6)))) (+.f64 (*.f64 1/8 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6)))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (*.f64 (log.f64 im) (pow.f64 im 2)))))) (pow.f64 re 6))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4))) (/.f64 (log.f64 base) (log.f64 im)))))
(fma.f64 -1 (*.f64 (fma.f64 1/6 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6))) (fma.f64 1/8 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6))) (*.f64 -1/2 (/.f64 (*.f64 -1/4 (+.f64 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4))) (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (*.f64 (*.f64 im im) (log.f64 im)))))) (pow.f64 re 6)) (fma.f64 -1/2 (/.f64 (log.f64 base) (/.f64 (*.f64 (*.f64 im im) (pow.f64 (log.f64 im) 2)) (*.f64 re re))) (fma.f64 -1 (*.f64 (*.f64 -1/4 (+.f64 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4))) (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4)) (/.f64 (log.f64 base) (log.f64 im)))))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 (*.f64 (log.f64 base) (*.f64 re re)) (*.f64 im im)) (pow.f64 (log.f64 im) 2)) (fma.f64 (*.f64 1/4 (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 3)) (pow.f64 im 4)) (/.f64 (/.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 im) 2)))) (pow.f64 re 4) (/.f64 (log.f64 base) (log.f64 im)))) (*.f64 (fma.f64 1/6 (/.f64 (/.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 (log.f64 im) 2)) (fma.f64 1/8 (/.f64 (/.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 (log.f64 im) 3)) (/.f64 (*.f64 1/8 (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 3)) (pow.f64 im 4)) (/.f64 (/.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 im) 2)))) (*.f64 im (*.f64 im (log.f64 im)))))) (pow.f64 re 6)))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 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))))))
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(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))

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)

series57.0ms (0.5%)

Counts
1 → 16
Calls

6 calls:

TimeVariablePointExpression
30.0ms
im
@0
(/.f64 (log.f64 im) (log.f64 base))
10.0ms
base
@0
(/.f64 (log.f64 im) (log.f64 base))
9.0ms
im
@-inf
(/.f64 (log.f64 im) (log.f64 base))
6.0ms
im
@inf
(/.f64 (log.f64 im) (log.f64 base))
1.0ms
base
@-inf
(/.f64 (log.f64 im) (log.f64 base))

rewrite42.0ms (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))))))))

simplify39.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
546×log-prod_binary64
477×associate-*r*_binary64
383×fma-def_binary64
326×distribute-rgt-neg-out_binary64
292×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
097570
1227390
2669390
34001390
Stop Event
1×node limit
Counts
46 → 38
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)))))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(*.f64 1 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (*.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 im)) (*.f64 (sqrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))
(*.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))))
(*.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))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))
(*.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))))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
(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 (/.f64 (log.f64 base) (log.f64 im)) -1)
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (log.f64 im) (log.f64 base))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 1 (/.f64 (log.f64 im) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (*.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (sqrt.f64 (log.f64 im)) (*.f64 (sqrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 1 (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.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))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.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))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.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))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (log.f64 base) (log.f64 im))
✓0.3b
(/.f64 (*.f64 (log.f64 base) (log.f64 im)) (*.f64 (log.f64 base) (log.f64 base)))
0.5b
(*.f64 (log.f64 base) (log.f64 base))
Compiler

Compiled 30 to 8 computations (73.3% saved)

series4.0ms (0%)

Counts
2 → 40
Calls

12 calls:

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

rewrite52.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
897×pow1_binary64
834×add-log-exp_binary64
834×log1p-expm1-u_binary64
834×expm1-log1p-u_binary64
813×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0824
116516
2232316
Stop Event
1×node limit
Counts
2 → 63
Calls
Call 1
Inputs
(/.f64 (*.f64 (log.f64 base) (log.f64 im)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 im))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 im) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) -2))))) (#(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 (*.f64 (log.f64 base) (log.f64 im))) 2) (*.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (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 (*.f64 (log.f64 base) (log.f64 im))) (*.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 im) 1) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 im) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) 1) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))))) (#(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)) (/.f64 (log.f64 im) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) (log.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 1) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(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) (/.f64 (log.f64 im) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 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 (*.f64 (log.f64 base) (log.f64 im))) 1)))) (#(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 (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 sqrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (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 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 base) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 base (log.f64 im)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 base) (log.f64 im))))))))

simplify43.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
669×unswap-sqr_binary64
491×associate-/r*_binary64
441×associate-*l/_binary64
324×associate-*r/_binary64
227×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01861227
14561114
215851096
Stop Event
1×node limit
Counts
103 → 91
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))
(*.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 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(*.f64 (log.f64 base) (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))))
(*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base)))
(*.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))
(*.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) -2))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(*.f64 1 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 2) (*.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) -2)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (*.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) -2)))
(*.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 im)))
(*.f64 (/.f64 (log.f64 im) 1) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 im) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (log.f64 base) 1) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))
(*.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))))
(*.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))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))
(*.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))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (log.f64 im) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) (log.f64 im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 1) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
(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 (/.f64 (log.f64 base) (/.f64 (log.f64 im) 1)) -1)
(neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))
(log.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(-.f64 (+.f64 1 (*.f64 (log.f64 base) (log.f64 im))) 1)
(pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 1)
(pow.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 2)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 2))
(log.f64 (pow.f64 base (log.f64 im)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 im) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 im))))
(log1p.f64 (-.f64 (pow.f64 base (log.f64 im)) 1))
(exp.f64 (log.f64 (*.f64 (log.f64 base) (log.f64 im))))
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) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.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 (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 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (log.f64 im)))
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(*.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (log.f64 im)))
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(*.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (log.f64 im)))
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(*.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (log.f64 im)))
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(*.f64 (log.f64 im) (log.f64 base))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im))
(*.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(*.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im))
(*.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(*.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im))
(*.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(*.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im))
(*.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(*.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(*.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(*.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(*.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(*.f64 (log.f64 im) (log.f64 base))
(*.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(*.f64 (log.f64 base) (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)))
(*.f64 (log.f64 base) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))))
(*.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(*.f64 (log.f64 base) (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)))
(*.f64 (log.f64 base) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))))
(*.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(*.f64 (log.f64 base) (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)))
(*.f64 (log.f64 base) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))))
(*.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(*.f64 (log.f64 base) (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)))
(*.f64 (log.f64 base) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (log.f64 base) (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) -2)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) -2))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 1 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 2) (*.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) -2)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (*.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) -2)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (log.f64 im) 1) (/.f64 1 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (log.f64 im) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) 1) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(pow.f64 (/.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))) 3)
(*.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))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(pow.f64 (/.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))) 3)
(*.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))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(pow.f64 (/.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))) 3)
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.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))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (log.f64 im) 1))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) (log.f64 im))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) 2)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 1) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) 2)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (log.f64 im)))
(/.f64 (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(*.f64 (/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (log.f64 im)))
(/.f64 (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (log.f64 im)))
(/.f64 (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(/.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (log.f64 im)))
(/.f64 (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 (log.f64 base) (/.f64 (log.f64 im) 1)) -1)
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(/.f64 (log.f64 im) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 im) (log.f64 base)) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 im) (log.f64 base)) 3) (pow.f64 (log.f64 base) 6)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(-.f64 (+.f64 1 (*.f64 (log.f64 base) (log.f64 im))) 1)
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(*.f64 (log.f64 im) (log.f64 base))
(pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 1)
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(*.f64 (log.f64 im) (log.f64 base))
(pow.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3) 1/3)
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(*.f64 (log.f64 im) (log.f64 base))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 3)
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(*.f64 (log.f64 im) (log.f64 base))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) 2)
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(*.f64 (log.f64 im) (log.f64 base))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 2))
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(*.f64 (log.f64 im) (log.f64 base))
(log.f64 (pow.f64 base (log.f64 im)))
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(*.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3))
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(*.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 im) 3)))
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(*.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(*.f64 (log.f64 im) (log.f64 base))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 im))))
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(*.f64 (log.f64 im) (log.f64 base))
(log1p.f64 (-.f64 (pow.f64 base (log.f64 im)) 1))
(log1p.f64 (+.f64 (pow.f64 base (log.f64 im)) -1))
(log1p.f64 (+.f64 -1 (pow.f64 base (log.f64 im))))
(exp.f64 (log.f64 (*.f64 (log.f64 base) (log.f64 im))))
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(*.f64 (log.f64 im) (log.f64 base))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.4b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓0.6b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
✓0.7b
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)
Compiler

Compiled 42 to 13 computations (69% saved)

series22.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

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

rewrite58.0ms (0.6%)

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

simplify159.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
729×times-frac_binary64
608×associate-/r*_binary64
454×associate-/l*_binary64
437×fma-def_binary64
415×associate-*r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06007171
119516089
Stop Event
1×node limit
Counts
152 → 243
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)))))))))))))
(/.f64 (pow.f64 (log.f64 re) 3) (pow.f64 (log.f64 base) 3))
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 re) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2)))) (/.f64 (pow.f64 (log.f64 re) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2)))) (pow.f64 im 2)) (/.f64 (pow.f64 (log.f64 re) 3) (pow.f64 (log.f64 base) 3)))
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (log.f64 re) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4)))) (*.f64 -1/2 (/.f64 (log.f64 re) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 re 4)))))) (log.f64 base)) (+.f64 (*.f64 1/2 (/.f64 (log.f64 re) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 re) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 4)))))) (pow.f64 im 4)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 re) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2)))) (/.f64 (pow.f64 (log.f64 re) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 re 2)))) (pow.f64 im 2)) (/.f64 (pow.f64 (log.f64 re) 3) (pow.f64 (log.f64 base) 3))))
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(*.f64 1 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)) (*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)))
(*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3))
(*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (/.f64 1 (pow.f64 (log.f64 base) 3)))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3/2) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)) 3) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.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))
(*.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)))
(*.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)))
(*.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))))
(*.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))))
(/.f64 1 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))
(/.f64 1 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3))
(/.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (neg.f64 (log.f64 (hypot.f64 re im))) 3) (pow.f64 (neg.f64 (log.f64 base)) 3))
(/.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3)) (neg.f64 (pow.f64 (log.f64 base) 3)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)) (log.f64 base))
(/.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)))
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) (log.f64 (hypot.f64 re im))) (log.f64 base))
(/.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))))
(/.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)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.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)))
(*.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))
(*.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))))
(*.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))))
(*.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))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.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))))
(*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3/2) 1/3))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2)) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.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 (cbrt.f64 (pow.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))))
(*.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))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (neg.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (log.f64 base))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(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)) 3) 1/3)
(pow.f64 (cbrt.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 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 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 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))))) (/.f64 (log.f64 base) (log.f64 im))) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))) (pow.f64 re 4))))
(+.f64 (fma.f64 (/.f64 (*.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 (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 (log.f64 base) (log.f64 im))))) (pow.f64 re 4)))
(+.f64 (*.f64 (pow.f64 re 6) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))) (/.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6)))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6))))) (log.f64 im)) (log.f64 base)))))) (+.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 2))))) (pow.f64 re 2)) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))) (log.f64 im)) (log.f64 base)) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))) (pow.f64 re 4)))))
(fma.f64 (pow.f64 re 6) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/4 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (*.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))))) (*.f64 (log.f64 base) (*.f64 im im))) (fma.f64 -1/4 (/.f64 (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 (-.f64 (*.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 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)) (fma.f64 (*.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (*.f64 im im)))) (*.f64 re re) (*.f64 (fma.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4))) (+.f64 (/.f64 (+.f64 (/.f64 1/4 (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (*.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))))) (/.f64 (log.f64 base) (log.f64 im))) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))) (pow.f64 re 4)))))
(fma.f64 (pow.f64 re 6) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 (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 (log.f64 base) (*.f64 im im))) (fma.f64 -1/4 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6))) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6))) (*.f64 (/.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)))) (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 (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 (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))
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(/.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))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
0.4b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
0.7b
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)
Compiler

Compiled 44 to 15 computations (65.9% saved)

series42.0ms (0.4%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
11.0ms
re
@inf
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
8.0ms
im
@inf
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
8.0ms
re
@0
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
5.0ms
im
@0
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
3.0ms
re
@-inf
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)

rewrite66.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
494×log-prod_binary64
371×exp-prod_binary64
286×prod-exp_binary64
276×pow2_binary64
268×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01211
125911
2277511
Stop Event
1×node limit
Counts
1 → 57
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
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 (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 (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 (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 (pow.f64 (log.f64 base) -1/2) (/.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 (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 (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 -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 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 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))) -6)) 1/6))))) (#(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 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2))) 3/2))))) (#(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 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3)) 1/6) 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 (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 (log.f64 (log.f64 (hypot.f64 re im))) 1) (neg.f64 (log.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3)) 1/6) (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3)) 1/6) (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3)) 1/6)))))) (#(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)))))))

simplify147.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
676×associate-/r*_binary64
643×associate-/l*_binary64
412×fma-def_binary64
327×associate-*l/_binary64
289×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07528736
124587510
Stop Event
1×node limit
Counts
93 → 147
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) (*.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))) (pow.f64 (log.f64 im) 2))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))) (log.f64 im)) (log.f64 base)) (+.f64 (*.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))) (+.f64 (*.f64 1/9 (/.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.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))))) 2)) (pow.f64 (log.f64 im) 3))) (*.f64 2/9 (/.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.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))))) 2)) (pow.f64 (log.f64 im) 3))))) (pow.f64 re 4))) (pow.f64 (log.f64 im) 2))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) (*.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))) (pow.f64 (log.f64 im) 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) (*.f64 (-.f64 (+.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 (*.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 1/2 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))) (*.f64 (log.f64 base) (pow.f64 im 2))))))) (+.f64 (*.f64 1/27 (/.f64 (*.f64 (pow.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))))) 3) (pow.f64 (log.f64 base) 6)) (pow.f64 (log.f64 im) 6))) (+.f64 (*.f64 2/9 (/.f64 (*.f64 (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))))) (-.f64 (+.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 (*.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))) (+.f64 (*.f64 1/9 (/.f64 (*.f64 (pow.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))))) 2) (pow.f64 (log.f64 base) 3)) (pow.f64 (log.f64 im) 3))) (*.f64 2/9 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(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (neg.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (log.f64 base))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.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))) -3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -6)) 1/6))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2))) 3/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3)) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3)) 1/6) 2))
(exp.f64 (-.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (log.f64 (log.f64 (hypot.f64 re im))) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1) (*.f64 (log.f64 (log.f64 base)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1) (neg.f64 (log.f64 (log.f64 base)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3)) 1/6) (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3)) 1/6)))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3)) 1/6) (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3)) 1/6)))
(exp.f64 (+.f64 (neg.f64 (log.f64 (log.f64 base))) (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1)))
Outputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) (*.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))) (pow.f64 (log.f64 im) 2))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/3 (/.f64 (pow.f64 (log.f64 base) 2) (/.f64 (pow.f64 (log.f64 im) 2) (*.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 1/3 (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) (*.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (*.f64 im im))))) (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 re re))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))) (log.f64 im)) (log.f64 base)) (+.f64 (*.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))) (+.f64 (*.f64 1/9 (/.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.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))))) 2)) (pow.f64 (log.f64 im) 3))) (*.f64 2/9 (/.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.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))))) 2)) (pow.f64 (log.f64 im) 3))))) (pow.f64 re 4))) (pow.f64 (log.f64 im) 2))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) (*.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))) (pow.f64 (log.f64 im) 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/3 (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 re 4) (-.f64 (+.f64 (/.f64 (fma.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))) (/.f64 1/4 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (/.f64 (log.f64 base) (log.f64 im))) (fma.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4))) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))) (*.f64 (/.f64 (pow.f64 (log.f64 base) 3) (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (*.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (*.f64 im im)))) 2))) 1/3)))) (pow.f64 (log.f64 im) 2)) (/.f64 (pow.f64 (log.f64 base) 2) (/.f64 (pow.f64 (log.f64 im) 2) (*.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 1/3 (+.f64 (*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 im) 2)) (*.f64 (pow.f64 re 4) (+.f64 (/.f64 (log.f64 im) (/.f64 (log.f64 base) (fma.f64 -1/2 (/.f64 (log.f64 im) (*.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))))) (-.f64 (fma.f64 1/2 (/.f64 (/.f64 (log.f64 im) (pow.f64 im 4)) (pow.f64 (log.f64 base) 3)) (*.f64 -1/4 (/.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4)) (pow.f64 (log.f64 base) 3)))) (/.f64 (*.f64 (pow.f64 (log.f64 base) 3) 1/3) (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (*.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (*.f64 im im)))) 2))))))) (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) (*.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (*.f64 im im))))) (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 re re)))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (log.f64 base) 2) (*.f64 (-.f64 (+.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 (*.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 1/2 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))) (*.f64 (log.f64 base) (pow.f64 im 2))))))) (+.f64 (*.f64 1/27 (/.f64 (*.f64 (pow.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))))) 3) (pow.f64 (log.f64 base) 6)) (pow.f64 (log.f64 im) 6))) (+.f64 (*.f64 2/9 (/.f64 (*.f64 (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))))) (-.f64 (+.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 (*.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))) (+.f64 (*.f64 1/9 (/.f64 (*.f64 (pow.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))))) 2) (pow.f64 (log.f64 base) 3)) (pow.f64 (log.f64 im) 3))) (*.f64 2/9 (/.f64 (*.f64 (pow.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))))) 2) (pow.f64 (log.f64 base) 3)) (pow.f64 (log.f64 im) 3))))))) (pow.f64 (log.f64 im) 3))) (+.f64 (*.f64 2/9 (/.f64 (*.f64 (pow.f64 (log.f64 base) 3) (*.f64 (-.f64 (+.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 (*.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))) (+.f64 (*.f64 1/9 (/.f64 (*.f64 (pow.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))))) 2) (pow.f64 (log.f64 base) 3)) (pow.f64 (log.f64 im) 3))) (*.f64 2/9 (/.f64 (*.f64 (pow.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))))) 2) (pow.f64 (log.f64 base) 3)) (pow.f64 (log.f64 im) 3))))) (+.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 (log.f64 im) 3))) (+.f64 (*.f64 1/9 (/.f64 (*.f64 (-.f64 (+.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 (*.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))) (+.f64 (*.f64 1/9 (/.f64 (*.f64 (pow.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))))) 2) (pow.f64 (log.f64 base) 3)) (pow.f64 (log.f64 im) 3))) (*.f64 2/9 (/.f64 (*.f64 (pow.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))))) 2) (pow.f64 (log.f64 base) 3)) (pow.f64 (log.f64 im) 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 (log.f64 base) 3))) (pow.f64 (log.f64 im) 3))) (*.f64 1/9 (/.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))))) (*.f64 (-.f64 (+.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 (*.f64 1/2 (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 4)))))) (+.f64 (*.f64 1/9 (/.f64 (*.f64 (pow.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))))) 2) (pow.f64 (log.f64 base) 3)) (pow.f64 (log.f64 im) 3))) (*.f64 2/9 (/.f64 (*.f64 (pow.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))))) 2) (pow.f64 (log.f64 base) 3)) (pow.f64 (log.f64 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(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) (pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) -3) 1/6))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3)) 1/6)))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3)) 1/6 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) (pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) -3) 1/6))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3)) 1/6) (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3)) 1/6)))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -3))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) -3))
(exp.f64 (+.f64 (neg.f64 (log.f64 (log.f64 base))) (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1)))
(/.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))

eval1.1s (10.8%)

Compiler

Compiled 56616 to 34067 computations (39.8% saved)

prune347.0ms (3.3%)

Pruning

32 alts after pruning (30 fresh and 2 done)

PrunedKeptTotal
New1110181128
Fresh61218
Picked101
Done325
Total1120321152
Error
0b
Counts
1152 → 32
Alt Table
Click to see full alt table
StatusErrorProgram
46.2b
(pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) 3) 1/3)
47.4b
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
32.2b
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
0.7b
(pow.f64 (-.f64 (+.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1) -1)
0.5b
(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
47.4b
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
0.7b
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) -1)
14.6b
(pow.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) -1)
▶1.4b
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
32.6b
(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))))
0.8b
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 4)))
29.1b
(/.f64 (*.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
29.1b
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
✓0.4b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓32.1b
(/.f64 (log.f64 im) (log.f64 base))
▶0.4b
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
32.3b
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
17.4b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
0.7b
(+.f64 1 (-.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1))
32.2b
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 im)))
0.5b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
▶32.2b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
0.5b
(*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
1.7b
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) (/.f64 1 (log.f64 base))))))
0.7b
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
32.3b
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
1.9b
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
17.1b
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
40.9b
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
31.2b
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
▶29.2b
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) 3))
Compiler

Compiled 798 to 619 computations (22.4% saved)

localize39.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiled 32 to 10 computations (68.8% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite62.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

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

simplify67.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
827×fma-neg_binary64
552×times-frac_binary64
536×associate-/l*_binary64
466×fma-def_binary64
462×log-div_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02081945
15411586
216511532
369731532
Stop Event
1×node limit
Counts
72 → 122
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 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(*.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))
(*.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))))
(*.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))))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) -1))
(*.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))
(*.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))
(*.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)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.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 (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))))
(*.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))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.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))))
(*.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))))
(*.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) 1) (log.f64 (hypot.f64 re im)))
(*.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))))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(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)) 3) 1/3)
(pow.f64 (cbrt.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)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2))
(log.f64 (exp.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)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
Outputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (+.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 1/2 (/.f64 (*.f64 re re) (*.f64 (*.f64 im im) (log.f64 base)))))
(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 (*.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 (*.f64 re re) (log.f64 base)) (*.f64 im im)) (*.f64 (/.f64 -1/4 (pow.f64 im 4)) (/.f64 (pow.f64 re 4) (log.f64 base)))))
(fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 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) (log.f64 base)) (pow.f64 im 6)) (fma.f64 1/2 (/.f64 (/.f64 (*.f64 re re) (log.f64 base)) (*.f64 im im)) (*.f64 (/.f64 -1/4 (pow.f64 im 4)) (/.f64 (pow.f64 re 4) (log.f64 base))))))
(fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 base)) (pow.f64 im 6)) (fma.f64 1/2 (*.f64 (/.f64 re (*.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 -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 (*.f64 re re) (log.f64 base)))))
(-.f64 (*.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (*.f64 -1/4 (/.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 (*.f64 re re) (log.f64 base))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (*.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (log.f64 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 (*.f64 re re) (log.f64 base))) (*.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))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (fma.f64 1/720 (*.f64 (/.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (pow.f64 re 6)) 120) (/.f64 (log.f64 re) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (*.f64 re re) (log.f64 base)))))
(-.f64 (*.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (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 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 (*.f64 re re) (log.f64 base))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (*.f64 1/2 (/.f64 (/.f64 (*.f64 im im) (log.f64 base)) (*.f64 re re))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (/.f64 (pow.f64 im 4) (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) -1/4))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
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(/.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 (*.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))))
(/.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 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(/.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))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(/.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))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(/.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))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(/.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))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(/.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))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(/.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))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2))
(/.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))
(log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(/.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))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(/.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))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 21 to 11 computations (47.6% saved)

series6.0ms (0.1%)

Counts
2 → 32
Calls

9 calls:

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

rewrite45.0ms (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
0814
115214
2174414
Stop Event
1×node limit
Counts
2 → 44
Calls
Call 1
Inputs
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
Outputs
((#(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))))))))
((#(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))))))))

simplify57.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
609×log-prod_binary64
553×associate-*l*_binary64
513×associate-*r*_binary64
408×fma-def_binary64
391×times-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0123736
1272666
2816666
35679666
Stop Event
1×node limit
Counts
76 → 59
Calls
Call 1
Inputs
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1)
(*.f64 1 (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 base)) -1))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (pow.f64 (sqrt.f64 (log.f64 base)) -1))
(pow.f64 (log.f64 base) -1)
(pow.f64 (/.f64 1 (log.f64 base)) 1)
(pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
(sqrt.f64 (pow.f64 (log.f64 base) -2))
(log.f64 (exp.f64 (/.f64 1 (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im))))
(/.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))
(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 im) 1) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 -1 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 im) -1) (neg.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (log.f64 im) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
Outputs
(/.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 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(/.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) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.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 (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 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base))
(-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1)
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 1 (/.f64 1 (log.f64 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) 1)
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 -1 (/.f64 1 (neg.f64 (log.f64 base))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 base)) -1))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (pow.f64 (sqrt.f64 (log.f64 base)) -1))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(pow.f64 (log.f64 base) -1)
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(pow.f64 (/.f64 1 (log.f64 base)) 1)
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3)
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2)
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(sqrt.f64 (pow.f64 (log.f64 base) -2))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(log.f64 (exp.f64 (/.f64 1 (log.f64 base))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) 1) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (*.f64 -1 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (*.f64 (log.f64 im) -1) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(/.f64 (log.f64 im) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (log.f64 im) 3)))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3)))
(/.f64 (log.f64 im) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 37 to 16 computations (56.8% saved)

series10.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

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

rewrite55.0ms (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))))))

simplify119.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
658×unswap-sqr_binary64
281×fma-def_binary64
245×associate-/r*_binary64
217×sqr-pow_binary64
215×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05244581
114134042
248814007
Stop Event
1×node limit
Counts
155 → 251
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))))
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(+.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))))))
(+.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))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(*.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)))
(*.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))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (log.f64 (hypot.f64 re im))))
(*.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))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (pow.f64 (log.f64 base) -1/2) (log.f64 (hypot.f64 re im))))
(*.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)))
(*.f64 (/.f64 -1 (log.f64 base)) (/.f64 1 (/.f64 -1 (log.f64 (hypot.f64 re im)))))
(*.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)))))
(*.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)))))
(*.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))))))
(*.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))))
(*.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))))))
(*.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)))
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) -1) (neg.f64 (log.f64 (hypot.f64 re im))))
(*.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))))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(pow.f64 (E.f64) (log.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) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(pow.f64 (cbrt.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 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(pow.f64 (/.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (log.f64 (hypot.f64 re im)) -3)) 1/3)
(pow.f64 (/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1) -1)
(pow.f64 (*.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) -3)) 1/3)
(pow.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (cbrt.f64 (log.f64 base)))) 3)
(pow.f64 (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -1/2)) 2)
(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)))))
(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)))))
(neg.f64 (/.f64 (/.f64 1 (log.f64 base)) (/.f64 -1 (log.f64 (hypot.f64 re im)))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.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)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (log.f64 (hypot.f64 re im)) -3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1) 1))
(+.f64 0 (/.f64 1 (log.f64 (hypot.f64 re im))))
(+.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)))))))
(+.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)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))) 1)
(*.f64 1 (/.f64 1 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)) (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -1/2) (pow.f64 (log.f64 (hypot.f64 re im)) -1/2))
(*.f64 -1 (/.f64 -1 (log.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -2) (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(pow.f64 (log.f64 (hypot.f64 re im)) -1)
(pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 1)
(pow.f64 (E.f64) (neg.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) -1/2)
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) -1/3)
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2) 1/2)
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) -2)
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -1/2) 2)
(pow.f64 (exp.f64 -1) (log.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (neg.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) -1)
(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))))))
(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))))))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2))
(log.f64 (exp.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))
(exp.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -3)) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))))) 3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (log.f64 (hypot.f64 re im)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im)))) 1) 1))
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))))
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(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2))))
(*.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))))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2))) (/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))))
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)))
(*.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)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (cbrt.f64 (log.f64 base)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) -1) (neg.f64 (log.f64 (hypot.f64 re im))))
(/.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 (*.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))))
(/.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 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(/.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))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(/.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))
(pow.f64 (E.f64) (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) 1/2)
(/.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))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(/.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))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(/.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))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(/.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))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(/.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))
(pow.f64 (/.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (log.f64 (hypot.f64 re im)) -3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (log.f64 (hypot.f64 re im)) -3)))
(pow.f64 (/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1) -1)
(/.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))
(pow.f64 (*.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))
(pow.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) -3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))
(pow.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (cbrt.f64 (log.f64 base)))) 3)
(/.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))
(pow.f64 (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -1/2)) 2)
(/.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))
(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)))))
(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)))))
(neg.f64 (/.f64 (/.f64 1 (log.f64 base)) (/.f64 -1 (log.f64 (hypot.f64 re im)))))
(/.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))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(/.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))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (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))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(/.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))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (log.f64 (hypot.f64 re im)) -3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
(/.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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1/3))
(/.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))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3))
(/.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))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2))
(/.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))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))
(/.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))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1) 1))
(/.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 0 (/.f64 1 (log.f64 (hypot.f64 re im))))
(/.f64 1 (log.f64 (hypot.f64 re im)))
(+.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)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))))
(+.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)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))) 1)
(/.f64 1 (log.f64 (hypot.f64 re im)))
(*.f64 1 (/.f64 1 (log.f64 (hypot.f64 re im))))
(/.f64 1 (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 1)
(/.f64 1 (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)) (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)) (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -1/2) (pow.f64 (log.f64 (hypot.f64 re im)) -1/2))
(/.f64 1 (log.f64 (hypot.f64 re im)))
(*.f64 -1 (/.f64 -1 (log.f64 (hypot.f64 re im))))
(/.f64 1 (log.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -2) (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 1 (log.f64 (hypot.f64 re im)))
(pow.f64 (log.f64 (hypot.f64 re im)) -1)
(/.f64 1 (log.f64 (hypot.f64 re im)))
(pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 1)
(/.f64 1 (log.f64 (hypot.f64 re im)))
(pow.f64 (E.f64) (neg.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 1 (log.f64 (hypot.f64 re im)))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) -1/2)
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) -1/6) (pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) -1/6))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2) 1/2)
(/.f64 1 (log.f64 (hypot.f64 re im)))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -3) 1/3)
(/.f64 1 (log.f64 (hypot.f64 re im)))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -3)
(/.f64 1 (log.f64 (hypot.f64 re im)))
(pow.f64 (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))) 3)
(/.f64 1 (log.f64 (hypot.f64 re im)))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) -2)
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -1/2) 2)
(/.f64 1 (log.f64 (hypot.f64 re im)))
(pow.f64 (exp.f64 -1) (log.f64 (log.f64 (hypot.f64 re im))))
(/.f64 1 (log.f64 (hypot.f64 re im)))
(pow.f64 (neg.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) -1)
(/.f64 1 (log.f64 (hypot.f64 re im)))
(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))))))
(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))))))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2))
(/.f64 1 (log.f64 (hypot.f64 re im)))
(log.f64 (exp.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))
(/.f64 1 (log.f64 (hypot.f64 re im)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))))
(/.f64 1 (log.f64 (hypot.f64 re im)))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -3))
(/.f64 1 (log.f64 (hypot.f64 re im)))
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))
(/.f64 1 (log.f64 (hypot.f64 re im)))
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))
(/.f64 1 (log.f64 (hypot.f64 re im)))
(exp.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 1 (log.f64 (hypot.f64 re im)))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) -1))
(/.f64 1 (log.f64 (hypot.f64 re im)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im)))) 1))
(/.f64 1 (log.f64 (hypot.f64 re im)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -3)) 1/3))
(/.f64 1 (log.f64 (hypot.f64 re im)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))))) 3))
(/.f64 1 (log.f64 (hypot.f64 re im)))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (log.f64 (hypot.f64 re im)))) 2))
(/.f64 1 (log.f64 (hypot.f64 re im)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1) -1))
(/.f64 1 (log.f64 (hypot.f64 re im)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) -1) 1))
(/.f64 1 (log.f64 (hypot.f64 re im)))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im)))) 1) 1))
(/.f64 1 (log.f64 (hypot.f64 re im)))

localize26.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
✓0.4b
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) 3))
✓0.6b
(pow.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) 3)
Compiler

Compiled 50 to 35 computations (30% saved)

series62.0ms (0.6%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
16.0ms
base
@0
(pow.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) 3)
15.0ms
re
@0
(pow.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) 3)
9.0ms
re
@-inf
(pow.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) 3)
8.0ms
re
@inf
(pow.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) 3)
4.0ms
base
@0
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) 3))

rewrite62.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
969×pow1_binary64
905×add-log-exp_binary64
903×log1p-expm1-u_binary64
903×expm1-log1p-u_binary64
114×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01242
125733
2306833
Stop Event
1×node limit
Counts
3 → 129
Calls
Call 1
Inputs
(pow.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) 3)
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) 3))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
Outputs
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(/.f64 (cbrt.f64 (log.f64 (neg.f64 re))) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))))))

simplify62.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
384×distribute-rgt-in_binary64
376×distribute-lft-in_binary64
322×associate-/r/_binary64
277×associate-/l/_binary64
248×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02293075
15462797
222292782
Stop Event
1×node limit
Counts
201 → 122
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(*.f64 -1 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(*.f64 -1 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(*.f64 -1 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(*.f64 -1 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) 3) (pow.f64 (log.f64 base) 3)))
(*.f64 -1 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) 3) (pow.f64 (log.f64 base) 3)))
(*.f64 -1 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) 3) (pow.f64 (log.f64 base) 3)))
(*.f64 -1 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (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 -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 -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 -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 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3))
(/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3))
(/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3))
(/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)))
(/.f64 (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) (cbrt.f64 -1)) (log.f64 base))
(/.f64 (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) (cbrt.f64 -1)) (log.f64 base))
(/.f64 (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) (cbrt.f64 -1)) (log.f64 base))
(/.f64 (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) (cbrt.f64 -1)) (log.f64 base))
(/.f64 (*.f64 (cbrt.f64 -1) (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (*.f64 (cbrt.f64 -1) (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (*.f64 (cbrt.f64 -1) (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (*.f64 (cbrt.f64 -1) (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re)))) (log.f64 base))
(/.f64 (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 -1 re))) (log.f64 base))
(/.f64 (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 -1 re))) (log.f64 base))
(/.f64 (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 -1 re))) (log.f64 base))
(/.f64 (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 -1 re))) (log.f64 base))
(/.f64 (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 -1 re))) (log.f64 base))
(/.f64 (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 -1 re))) (log.f64 base))
(/.f64 (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 -1 re))) (log.f64 base))
(/.f64 (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 -1 re))) (log.f64 base))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 -1 re))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 -1 re))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 -1 re))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 -1 re))) (log.f64 (/.f64 1 base))))
(/.f64 (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 -1 re))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 -1 re))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 -1 re))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 -1 re))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) (log.f64 base)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) (log.f64 base)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) (log.f64 base)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) (log.f64 base)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) (log.f64 base)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) (log.f64 base)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) (log.f64 base)))
(*.f64 -1 (/.f64 (+.f64 (log.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 (/.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 (log.f64 (/.f64 -1 re)) (log.f64 (/.f64 1 base)))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 (/.f64 1 base)))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 (/.f64 1 base)))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 (/.f64 1 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3))) 1)
(*.f64 (log.f64 (neg.f64 re)) (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2))
(*.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3) 1)
(*.f64 1 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3))
(*.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 2) (*.f64 (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (*.f64 (sqrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2)))
(*.f64 (pow.f64 (log.f64 (neg.f64 re)) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3))
(*.f64 (pow.f64 (log.f64 (neg.f64 re)) 3) (/.f64 1 (pow.f64 (log.f64 base) 3)))
(*.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3/2) (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 2) 3) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 3) (pow.f64 (sqrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 3))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2) (log.f64 (neg.f64 re))) (/.f64 1 (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2) 1) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 2)) (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2) (sqrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (sqrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(/.f64 1 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 (neg.f64 re)) 3)))
(/.f64 1 (pow.f64 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))) 3))
(/.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2) (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))
(/.f64 (pow.f64 (log.f64 (neg.f64 re)) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (log.f64 (neg.f64 re)) 3) (pow.f64 (neg.f64 (log.f64 base)) 3))
(/.f64 (pow.f64 (log.f64 (neg.f64 re)) 3) (neg.f64 (pow.f64 (log.f64 base) 3)))
(/.f64 (*.f64 (log.f64 (neg.f64 re)) (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2)) (log.f64 base))
(/.f64 (*.f64 (log.f64 (neg.f64 re)) (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2) (log.f64 (neg.f64 re))) (log.f64 base))
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2) (log.f64 (neg.f64 re))) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2) 1) (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))
(neg.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))
(-.f64 0 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) 1)
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (neg.f64 re))) 2) (*.f64 (cbrt.f64 (log.f64 (neg.f64 re))) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 (neg.f64 re))) (*.f64 (sqrt.f64 (log.f64 (neg.f64 re))) (/.f64 1 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2) 1/3) (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3/2) 1/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (neg.f64 re))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (neg.f64 re))) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (neg.f64 re))) 1) (/.f64 (sqrt.f64 (log.f64 (neg.f64 re))) (log.f64 base)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (neg.f64 re)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (neg.f64 re)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (neg.f64 re))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (neg.f64 re))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (neg.f64 re))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 -1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (neg.f64 re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (neg.f64 re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (neg.f64 re))) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (neg.f64 re))) (sqrt.f64 (log.f64 base))))
(/.f64 -1 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 (neg.f64 re)))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 (neg.f64 re)) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))) 1))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (neg.f64 re))) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (neg.f64 re)))))
(/.f64 (sqrt.f64 (log.f64 (neg.f64 re))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (neg.f64 re)))))
(/.f64 (/.f64 (log.f64 (neg.f64 re)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 (neg.f64 re)) 1) (log.f64 base))
(/.f64 (/.f64 (log.f64 (neg.f64 re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))) -1)
(neg.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2))
(log.f64 (pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(-.f64 0 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) 1)
(-.f64 (/.f64 0 (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(-.f64 (/.f64 (log.f64 -1) (log.f64 base)) (/.f64 (log.f64 re) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(*.f64 (log.f64 (neg.f64 re)) (/.f64 1 (log.f64 base)))
(*.f64 (log.f64 (neg.f64 re)) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 1)
(*.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 2))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (pow.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (neg.f64 re))) 2) (*.f64 (cbrt.f64 (log.f64 (neg.f64 re))) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 (neg.f64 re))) (*.f64 (sqrt.f64 (log.f64 (neg.f64 re))) (/.f64 1 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2) 1/3) (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3/2) 1/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (neg.f64 re))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (neg.f64 re))) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (neg.f64 re))) 1) (/.f64 (sqrt.f64 (log.f64 (neg.f64 re))) (log.f64 base)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (neg.f64 re)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (neg.f64 re)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (neg.f64 re))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (neg.f64 re))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (neg.f64 re))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 -1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (neg.f64 re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (neg.f64 re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (neg.f64 re))) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (neg.f64 re))) (sqrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))) -1)
(neg.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2))
(log.f64 (pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
Outputs
(*.f64 -1 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(neg.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3)) (pow.f64 (log.f64 base) 3))
(*.f64 -1 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(neg.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3)) (pow.f64 (log.f64 base) 3))
(*.f64 -1 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(neg.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3)) (pow.f64 (log.f64 base) 3))
(*.f64 -1 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(neg.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3)) (pow.f64 (log.f64 base) 3))
(*.f64 -1 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) 3) (pow.f64 (log.f64 base) 3)))
(neg.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3)) (pow.f64 (log.f64 base) 3))
(*.f64 -1 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) 3) (pow.f64 (log.f64 base) 3)))
(neg.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3)) (pow.f64 (log.f64 base) 3))
(*.f64 -1 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) 3) (pow.f64 (log.f64 base) 3)))
(neg.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3)) (pow.f64 (log.f64 base) 3))
(*.f64 -1 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) 3) (pow.f64 (log.f64 base) 3)))
(neg.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (neg.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)))
(neg.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (neg.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)))
(neg.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (neg.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)))
(neg.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (neg.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)))
(neg.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (neg.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)))
(neg.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (neg.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)))
(neg.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (neg.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)))
(neg.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (neg.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)))
(neg.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3)) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3))
(neg.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3)) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3))
(neg.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3)) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3))
(neg.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3)) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3))
(neg.f64 (/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (neg.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 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)))
(neg.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 3)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)))
(neg.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 3)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)))
(neg.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 3)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)))
(neg.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 3)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 3))
(/.f64 (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) (cbrt.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) (/.f64 (log.f64 base) (cbrt.f64 -1)))
(*.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (cbrt.f64 -1))
(/.f64 (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) (cbrt.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) (/.f64 (log.f64 base) (cbrt.f64 -1)))
(*.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (cbrt.f64 -1))
(/.f64 (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) (cbrt.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) (/.f64 (log.f64 base) (cbrt.f64 -1)))
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(pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 1)
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3) 1/3)
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 3)
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 2)
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))) -1)
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(neg.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (neg.f64 re))) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 2))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(log.f64 (pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 41 to 11 computations (73.2% saved)

series57.0ms (0.5%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
12.0ms
re
@inf
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
9.0ms
im
@inf
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
6.0ms
re
@0
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
5.0ms
im
@0
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
4.0ms
re
@-inf
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)

rewrite71.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
954×pow1_binary64
886×add-log-exp_binary64
886×log1p-expm1-u_binary64
886×expm1-log1p-u_binary64
102×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
122724
2246924
Stop Event
1×node limit
Counts
2 → 74
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (/.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 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (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 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2) (*.f64 (cbrt.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 (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 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)))))) (#(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 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2) 3) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2)) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re 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 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (exp.f64 (log1p.f64 (cbrt.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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (/.f64 1 (log.f64 base)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6))))) (#(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) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))))

simplify148.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
722×fma-def_binary64
528×associate-/r*_binary64
503×times-frac_binary64
398×associate-/l*_binary64
336×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
086810676
128939496
Stop Event
1×node limit
Counts
146 → 242
Calls
Call 1
Inputs
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3))
(+.f64 (*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 2))) (pow.f64 1 1/3))) (*.f64 1/6 (*.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 2))) (pow.f64 1 1/3)))) (pow.f64 re 2)))
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(pow.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(pow.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(pow.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(pow.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(*.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))
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.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))))
(*.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))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2) (*.f64 (cbrt.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)))
(*.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))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2) 3) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) 3))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2)) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.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))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (neg.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (log.f64 base))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(log.f64 (+.f64 1 (expm1.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)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) 1)
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
(*.f64 1 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (/.f64 1 (log.f64 base))))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (/.f64 1 (log.f64 base)) 1/3))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (cbrt.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 1 (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base)))
(/.f64 (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
(pow.f64 (cbrt.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)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
Outputs
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 2))) (pow.f64 1 1/3))) (*.f64 1/6 (*.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 2))) (pow.f64 1 1/3)))) (pow.f64 re 2)))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 (*.f64 (/.f64 1 (*.f64 (log.f64 base) (*.f64 im im))) 1/2) (*.f64 re re)))
(fma.f64 (/.f64 1/2 (*.f64 (log.f64 base) (*.f64 im im))) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (*.f64 (+.f64 (*.f64 1/18 (*.f64 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4)))) (pow.f64 1 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/12 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4))))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4))))))) (*.f64 (pow.f64 (/.f64 (*.f64 1 (log.f64 im)) (log.f64 base)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (log.f64 base) 1) (log.f64 im)) 1/3) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 1/12 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4)))))))) (*.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 im) 4))) 1/3) (/.f64 1 (pow.f64 im 4)))))))) (pow.f64 re 4)) (+.f64 (*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 2))) (pow.f64 1 1/3))) (*.f64 1/6 (*.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 2))) (pow.f64 1 1/3)))) (pow.f64 re 2))))
(fma.f64 (fma.f64 1/18 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4)))) (+.f64 (*.f64 -1/3 (+.f64 (/.f64 1/12 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4)))) (/.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4))))) (*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) (+.f64 (/.f64 1/12 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4)))) (/.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4))))) (*.f64 1/36 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 im) 4)))) (/.f64 1 (pow.f64 im 4)))))))) (pow.f64 re 4) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 (*.f64 (/.f64 1 (*.f64 (log.f64 base) (*.f64 im im))) 1/2) (*.f64 re re))))
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(/.f64 (neg.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (cbrt.f64 (log.f64 base))))
(*.f64 1 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 im re))) (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)))
(cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
(cbrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)))
(cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3)
(cbrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)))
(cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) 2)
(cbrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)))
(cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))
(fabs.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)))
(cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))
(cbrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)))
(cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)))
(cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)))
(cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)))
(cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))

eval730.0ms (7%)

Compiler

Compiled 39767 to 23366 computations (41.2% saved)

prune247.0ms (2.4%)

Pruning

37 alts after pruning (34 fresh and 3 done)

PrunedKeptTotal
New1024231047
Fresh141125
Picked101
Done336
Total1042371079
Error
0b
Counts
1079 → 37
Alt Table
Click to see full alt table
StatusErrorProgram
46.2b
(pow.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3) 1/3)
47.4b
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
47.4b
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
29.5b
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 3)
32.6b
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
32.2b
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
29.1b
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 -1 (log.f64 (/.f64 -1 re))))
0.8b
(/.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -3)))
5.7b
(/.f64 (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1) (/.f64 1 (log.f64 (hypot.f64 re im))))
29.1b
(/.f64 (*.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
✓0.4b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶29.1b
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
✓32.1b
(/.f64 (log.f64 im) (log.f64 base))
29.1b
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))
32.2b
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
0.7b
(/.f64 1 (-.f64 (+.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1))
0.5b
(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)))
1.4b
(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))
32.3b
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
37.8b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) 1)
0.7b
(+.f64 1 (-.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1))
▶32.2b
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 im)))
▶0.5b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
29.1b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re)))
✓32.2b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
0.5b
(*.f64 (/.f64 -1 (log.f64 base)) (/.f64 1 (/.f64 -1 (log.f64 (hypot.f64 re im)))))
34.6b
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1) (log.f64 im))
0.5b
(*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
1.7b
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
29.9b
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
29.2b
(log.f64 (pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base))))
▶32.3b
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
37.7b
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
40.9b
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
▶46.2b
(exp.f64 (log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
29.2b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3))
29.2b
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 re)) 3) (pow.f64 (log.f64 base) 3)))
Compiler

Compiled 896 to 717 computations (20% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 29 to 12 computations (58.6% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite41.0ms (0.4%)

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
01011
119211
2220511
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 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))))))))

simplify58.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
831×times-frac_binary64
559×associate-/r*_binary64
414×log-prod_binary64
392×associate-*l*_binary64
386×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01741669
14391360
213341312
370871312
Stop Event
1×node limit
Counts
60 → 95
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 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (log.f64 base))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 -1 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) -1) (neg.f64 (log.f64 base)))
(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)) 3) 1/3)
(pow.f64 (cbrt.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)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (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 (/.f64 1 (log.f64 base)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
Outputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (+.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 1/2 (/.f64 (*.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 (/.f64 -1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))))
(fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) (/.f64 (log.f64 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 (*.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) (log.f64 base)) (pow.f64 im 6)) (fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (*.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (pow.f64 im 4))))))
(fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (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 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (*.f64 re re) (log.f64 base)))))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (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 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 (*.f64 re re) (log.f64 base))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (*.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (log.f64 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 (*.f64 re re) (log.f64 base))) (*.f64 1/720 (/.f64 (*.f64 (pow.f64 im 6) 120) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (fma.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base))) (*.f64 1/720 (*.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (/.f64 120 (pow.f64 re 6))))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (fma.f64 1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (*.f64 1/6 (/.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (pow.f64 re 6))))))
(*.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 (*.f64 re re) (log.f64 base)))))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(-.f64 (*.f64 1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (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 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 (*.f64 re re) (log.f64 base))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (*.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (*.f64 (/.f64 (pow.f64 im 4) (log.f64 base)) (/.f64 -1/4 (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (*.f64 -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 (*.f64 re re) (log.f64 base))) (*.f64 1/720 (/.f64 (*.f64 (pow.f64 im 6) 120) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (fma.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base))) (*.f64 1/720 (*.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (/.f64 120 (pow.f64 re 6))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (*.f64 1/6 (/.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (pow.f64 re 6))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(/.f64 (log.f64 re) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (*.f64 re re) (log.f64 base)))))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (/.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 (*.f64 re re) (log.f64 base))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (*.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (log.f64 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)))))))
(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 (*.f64 re re) (log.f64 base))) (*.f64 1/720 (/.f64 (*.f64 (pow.f64 im 6) 120) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (fma.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base))) (*.f64 1/720 (*.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (/.f64 120 (pow.f64 re 6))))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (fma.f64 1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (*.f64 1/6 (/.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (pow.f64 re 6))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (*.f64 im im) (log.f64 base)))))
(fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (*.f64 im im) (log.f64 base))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (*.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))))
(fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) (/.f64 (log.f64 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)))))))
(+.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) (log.f64 base)) (pow.f64 im 6)) (fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (*.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (pow.f64 im 4))))))
(fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (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 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 base))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (*.f64 im im) (log.f64 base))) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (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 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (*.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (fma.f64 1/2 (*.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 (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))) (-.f64 (fma.f64 1/720 (*.f64 (/.f64 (pow.f64 re 6) (log.f64 base)) (/.f64 120 (pow.f64 im 6))) (*.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) (*.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 base)) (pow.f64 im 6))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(-.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
(/.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 base) (log.f64 (hypot.f64 re im))))
(/.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 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(/.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 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(/.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 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (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 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (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 (/.f64 (log.f64 (hypot.f64 re im)) 1) (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 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (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 (*.f64 -1 (log.f64 (hypot.f64 re im))) (neg.f64 (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 (*.f64 (log.f64 (hypot.f64 re im)) -1) (neg.f64 (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))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(/.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))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(/.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))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(/.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))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(/.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))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(/.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))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (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))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(/.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))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(/.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))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))
(/.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))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3)))
(/.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))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 18 to 7 computations (61.1% saved)

series81.0ms (0.8%)

Counts
1 → 20
Calls

6 calls:

TimeVariablePointExpression
55.0ms
base
@0
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
9.0ms
re
@0
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
8.0ms
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))

rewrite146.0ms (1.4%)

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))))))))

simplify44.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
673×log-prod_binary64
487×associate-*l*_binary64
445×fma-def_binary64
426×associate-*r*_binary64
272×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0101696
1236561
2693474
34674474
Stop Event
1×node limit
Counts
50 → 43
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)))))
(-.f64 (+.f64 1 (/.f64 (log.f64 re) (log.f64 base))) 1)
(*.f64 (log.f64 re) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 re) (log.f64 base)) 1)
(*.f64 1 (/.f64 (log.f64 re) (log.f64 base)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 re)) 2) (*.f64 (cbrt.f64 (log.f64 re)) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 re) (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 re)) (*.f64 (sqrt.f64 (log.f64 re)) (/.f64 1 (log.f64 base))))
(*.f64 (neg.f64 (log.f64 re)) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 re)) 2) 1) (/.f64 (cbrt.f64 (log.f64 re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 re)) 1) (/.f64 (sqrt.f64 (log.f64 re)) (log.f64 base)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 re) (cbrt.f64 (log.f64 base))))
(*.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))))
(*.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))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 re) (sqrt.f64 (log.f64 base))))
(*.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))))
(pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 re) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (log.f64 re)) -1)
(neg.f64 (/.f64 (log.f64 re) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 2))
(log.f64 (pow.f64 re (/.f64 1 (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 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 (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 (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 (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 (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))
(-.f64 (+.f64 1 (/.f64 (log.f64 re) (log.f64 base))) 1)
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(*.f64 (log.f64 re) (/.f64 1 (log.f64 base)))
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(*.f64 (/.f64 (log.f64 re) (log.f64 base)) 1)
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(*.f64 1 (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(*.f64 (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))) 2))
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 re)) 2) (*.f64 (cbrt.f64 (log.f64 re)) (/.f64 1 (log.f64 base))))
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(*.f64 (sqrt.f64 (/.f64 (log.f64 re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(*.f64 (sqrt.f64 (log.f64 re)) (*.f64 (sqrt.f64 (log.f64 re)) (/.f64 1 (log.f64 base))))
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(*.f64 (neg.f64 (log.f64 re)) (/.f64 1 (neg.f64 (log.f64 base))))
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 re))
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 re)) 2) 1) (/.f64 (cbrt.f64 (log.f64 re)) (log.f64 base)))
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (log.f64 re)) 1) (/.f64 (sqrt.f64 (log.f64 re)) (log.f64 base)))
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 re) (cbrt.f64 (log.f64 base))))
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(*.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))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 re)) 2) (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(*.f64 (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.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))))
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 re) (sqrt.f64 (log.f64 base))))
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(*.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))))
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 1)
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))) 3)
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 re) (log.f64 base))) 2)
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(pow.f64 (/.f64 (log.f64 base) (log.f64 re)) -1)
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(neg.f64 (/.f64 (log.f64 re) (neg.f64 (log.f64 base))))
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 2))
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(log.f64 (pow.f64 re (/.f64 1 (log.f64 base))))
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 3))
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 25 to 14 computations (44% saved)

series74.0ms (0.7%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
16.0ms
im
@-inf
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
15.0ms
im
@inf
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
13.0ms
base
@-inf
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
13.0ms
im
@0
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
8.0ms
base
@inf
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))

rewrite50.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
683×pow1_binary64
628×add-log-exp_binary64
627×log1p-expm1-u_binary64
627×expm1-log1p-u_binary64
613×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0820
115717
2179717
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(pow.f64 im (/.f64 1 (log.f64 base)))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 im (/.f64 1 (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 im (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) (pow.f64 (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) 2) (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (/.f64 1 (log.f64 base))) (pow.f64 im (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 im) 2) (/.f64 1 (log.f64 base))) (pow.f64 (cbrt.f64 im) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 im) (/.f64 1 (log.f64 base))) (pow.f64 (sqrt.f64 im) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 im im) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 im (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 im (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 im (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (/.f64 (log.f64 im) (log.f64 base)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))) (log.f64 (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 im) (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 (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 (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 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (log.f64 im)))))) (#(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) -1/2) (*.f64 (pow.f64 (log.f64 base) -1/2) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (cbrt.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 im) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (log.f64 im)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) -1) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))

simplify44.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
485×associate-/l*_binary64
310×associate-/r/_binary64
285×log-prod_binary64
257×fma-neg_binary64
239×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0121894
1249839
2757835
33219835
Stop Event
1×node limit
Counts
91 → 62
Calls
Call 1
Inputs
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(exp.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(exp.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(exp.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(exp.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(-.f64 (+.f64 1 (pow.f64 im (/.f64 1 (log.f64 base)))) 1)
(*.f64 1 (pow.f64 im (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 1)
(*.f64 (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) (pow.f64 (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) 2) (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))))
(*.f64 (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))))
(*.f64 (pow.f64 1 (/.f64 1 (log.f64 base))) (pow.f64 im (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 im) 2) (/.f64 1 (log.f64 base))) (pow.f64 (cbrt.f64 im) (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (sqrt.f64 im) (/.f64 1 (log.f64 base))) (pow.f64 (sqrt.f64 im) (/.f64 1 (log.f64 base))))
(sqrt.f64 (pow.f64 (*.f64 im im) (/.f64 1 (log.f64 base))))
(log.f64 (exp.f64 (pow.f64 im (/.f64 1 (log.f64 base)))))
(cbrt.f64 (pow.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 3))
(expm1.f64 (log1p.f64 (pow.f64 im (/.f64 1 (log.f64 base)))))
(log1p.f64 (expm1.f64 (pow.f64 im (/.f64 1 (log.f64 base)))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 0 (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))) (log.f64 (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(*.f64 1 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (log.f64 im)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (pow.f64 (log.f64 base) -1/2) (log.f64 im)))
(*.f64 (*.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (cbrt.f64 (/.f64 1 (log.f64 base))))
(*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (*.f64 -1 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 im) -1) (neg.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
Outputs
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(-.f64 (+.f64 1 (pow.f64 im (/.f64 1 (log.f64 base)))) 1)
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(*.f64 1 (pow.f64 im (/.f64 1 (log.f64 base))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(*.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 1)
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(*.f64 (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) (pow.f64 (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) 2))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) 2) (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(*.f64 (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(*.f64 (pow.f64 1 (/.f64 1 (log.f64 base))) (pow.f64 im (/.f64 1 (log.f64 base))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 im) 2) (/.f64 1 (log.f64 base))) (pow.f64 (cbrt.f64 im) (/.f64 1 (log.f64 base))))
(*.f64 (pow.f64 (sqrt.f64 im) (/.f64 1 (log.f64 base))) (pow.f64 (sqrt.f64 im) (/.f64 1 (log.f64 base))))
(pow.f64 (sqrt.f64 im) (*.f64 2 (/.f64 1 (log.f64 base))))
(pow.f64 (sqrt.f64 im) (/.f64 2 (log.f64 base)))
(sqrt.f64 (pow.f64 (*.f64 im im) (/.f64 1 (log.f64 base))))
(pow.f64 (*.f64 im im) (/.f64 1/2 (log.f64 base)))
(log.f64 (exp.f64 (pow.f64 im (/.f64 1 (log.f64 base)))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(cbrt.f64 (pow.f64 (pow.f64 im (/.f64 1 (log.f64 base))) 3))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(expm1.f64 (log1p.f64 (pow.f64 im (/.f64 1 (log.f64 base)))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(log1p.f64 (expm1.f64 (pow.f64 im (/.f64 1 (log.f64 base)))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 im (/.f64 1 (log.f64 base)))
(+.f64 0 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))) (log.f64 (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))
(*.f64 2 (log.f64 (pow.f64 im (/.f64 1/2 (log.f64 base)))))
(*.f64 2 (*.f64 (/.f64 1/2 (log.f64 base)) (log.f64 im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 1 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (log.f64 im)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (log.f64 im) (cbrt.f64 (/.f64 1 (log.f64 base)))))
(*.f64 (log.f64 im) (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (/.f64 1 (log.f64 base)))))
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (*.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) -2))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (pow.f64 (log.f64 base) -1/2) (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (*.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (cbrt.f64 (/.f64 1 (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (log.f64 im) (cbrt.f64 (/.f64 1 (log.f64 base)))))
(*.f64 (log.f64 im) (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (/.f64 1 (log.f64 base)))))
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (*.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) -2))))
(*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (*.f64 -1 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (*.f64 (log.f64 im) -1) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
(/.f64 (log.f64 im) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(/.f64 (log.f64 im) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(exp.f64 (log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
✓0.2b
(log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
0.3b
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
Compiler

Compiled 33 to 9 computations (72.7% saved)

series236.0ms (2.3%)

Counts
2 → 44
Calls

12 calls:

TimeVariablePointExpression
157.0ms
base
@-inf
(log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
17.0ms
re
@inf
(log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
16.0ms
re
@0
(log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
15.0ms
base
@0
(log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
15.0ms
re
@-inf
(log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))

rewrite56.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
703×pow1_binary64
646×add-log-exp_binary64
645×log1p-expm1-u_binary64
645×expm1-log1p-u_binary64
632×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0922
116618
2200318
Stop Event
1×node limit
Counts
2 → 70
Calls
Call 1
Inputs
(log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(exp.f64 (log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (log.f64 re)) (neg.f64 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 (log.f64 re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))) 2)) (log.f64 (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 re) (log.f64 base)))) (log.f64 (sqrt.f64 (/.f64 (log.f64 re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (log.f64 re)) (log.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (log.f64 base) (log.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (log.f64 re))) (log.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 (log.f64 re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))) 2) (cbrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))) (sqrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (log.f64 re)) 3) (pow.f64 (log.f64 (log.f64 base)) 3)) (+.f64 (*.f64 (log.f64 (log.f64 re)) (log.f64 (log.f64 re))) (+.f64 (*.f64 (log.f64 (log.f64 base)) (log.f64 (log.f64 base))) (*.f64 (log.f64 (log.f64 re)) (log.f64 (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (log.f64 re)) (log.f64 (log.f64 re))) (*.f64 (log.f64 (log.f64 base)) (log.f64 (log.f64 base)))) (+.f64 (log.f64 (log.f64 re)) (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))))) (#(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 /.f64 (log.f64 re) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (log.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log.f64 re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 re)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 re)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (log.f64 re))) (neg.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 re) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 re) (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 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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))) 2)) (cbrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (log.f64 re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base))))) (sqrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))))))) (#(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 cbrt.f64 (/.f64 (pow.f64 (log.f64 re) 3) (pow.f64 (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))))))))

simplify86.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
529×associate-/l*_binary64
459×unswap-sqr_binary64
393×associate-/r*_binary64
321×fma-def_binary64
297×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01911667
14301444
215851321
Stop Event
1×node limit
Counts
114 → 105
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 (log.f64 re) (log.f64 -1)) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (log.f64 re) (log.f64 -1)) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (log.f64 re) (log.f64 -1)) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (log.f64 re) (log.f64 -1)) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base)))
(log.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base)))))
(log.f64 (*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base)))))
(log.f64 (*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base)))))
(log.f64 (*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base)))))
(log.f64 (/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(log.f64 (/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(log.f64 (/.f64 (log.f64 (neg.f64 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(log.f64 (/.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 (+.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 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (log.f64 (neg.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 -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)))))
(+.f64 (log.f64 (log.f64 re)) (neg.f64 (log.f64 (log.f64 base))))
(+.f64 0 (log.f64 (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))) 2)) (log.f64 (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 re) (log.f64 base)))) (log.f64 (sqrt.f64 (/.f64 (log.f64 re) (log.f64 base)))))
(-.f64 (log.f64 (log.f64 re)) (log.f64 (log.f64 base)))
(-.f64 0 (log.f64 (/.f64 (log.f64 base) (log.f64 re))))
(-.f64 (+.f64 1 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))) 1)
(-.f64 (log.f64 (neg.f64 (log.f64 re))) (log.f64 (neg.f64 (log.f64 base))))
(*.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base))) 1)
(*.f64 1 (log.f64 (/.f64 (log.f64 re) (log.f64 base))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))) 2) (cbrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))) (sqrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 re)) 3) (pow.f64 (log.f64 (log.f64 base)) 3)) (+.f64 (*.f64 (log.f64 (log.f64 re)) (log.f64 (log.f64 re))) (+.f64 (*.f64 (log.f64 (log.f64 base)) (log.f64 (log.f64 base))) (*.f64 (log.f64 (log.f64 re)) (log.f64 (log.f64 base))))))
(/.f64 (-.f64 (*.f64 (log.f64 (log.f64 re)) (log.f64 (log.f64 re))) (*.f64 (log.f64 (log.f64 base)) (log.f64 (log.f64 base)))) (+.f64 (log.f64 (log.f64 re)) (log.f64 (log.f64 base))))
(pow.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base))) 1)
(pow.f64 (pow.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))) 2)
(neg.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 re))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))))
(log1p.f64 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))))
(+.f64 1 (-.f64 (/.f64 (log.f64 re) (log.f64 base)) 1))
(-.f64 (+.f64 1 (/.f64 (log.f64 re) (log.f64 base))) 1)
(*.f64 (log.f64 re) (/.f64 1 (log.f64 base)))
(*.f64 (/.f64 (log.f64 re) (log.f64 base)) 1)
(*.f64 1 (/.f64 (log.f64 re) (log.f64 base)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 re)) 2) (*.f64 (cbrt.f64 (log.f64 re)) (/.f64 1 (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 re) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 re) (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 re)) (*.f64 (sqrt.f64 (log.f64 re)) (/.f64 1 (log.f64 base))))
(*.f64 (neg.f64 (log.f64 re)) (/.f64 1 (neg.f64 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 re)) 2) 1) (/.f64 (cbrt.f64 (log.f64 re)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 re)) 1) (/.f64 (sqrt.f64 (log.f64 re)) (log.f64 base)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 re) (cbrt.f64 (log.f64 base))))
(*.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))))
(*.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))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 re) (sqrt.f64 (log.f64 base))))
(*.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))))
(/.f64 (log.f64 re) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 re)))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 re)) 1))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 re))))
(/.f64 (sqrt.f64 (log.f64 re)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 re))))
(/.f64 (neg.f64 (log.f64 re)) (neg.f64 (log.f64 base)))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 re))))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 re) 1) (log.f64 base))
(/.f64 (/.f64 (log.f64 re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 re) (log.f64 base))) 2)
(pow.f64 (/.f64 (log.f64 base) (log.f64 re)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))) 2)) (cbrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (log.f64 re) (log.f64 base))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base))))) (sqrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))))
(neg.f64 (/.f64 (log.f64 re) (neg.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 2))
(log.f64 (pow.f64 re (/.f64 1 (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 re) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 re) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 re) (log.f64 base))))
Outputs
(log.f64 (/.f64 (+.f64 (log.f64 re) (log.f64 -1)) (log.f64 base)))
(log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (log.f64 re) (log.f64 -1)) (log.f64 base)))
(log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (log.f64 re) (log.f64 -1)) (log.f64 base)))
(log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (log.f64 re) (log.f64 -1)) (log.f64 base)))
(log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (log.f64 re) (log.f64 -1)) (log.f64 base)))
(log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (log.f64 re) (log.f64 -1)) (log.f64 base)))
(log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (log.f64 re) (log.f64 -1)) (log.f64 base)))
(log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (log.f64 re) (log.f64 -1)) (log.f64 base)))
(log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(log.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(log.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(log.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)))
(log.f64 (/.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(log.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(log.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)))
(log.f64 (/.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(log.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(log.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)))
(log.f64 (/.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(log.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(log.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)))
(log.f64 (/.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base)))))
(log.f64 (/.f64 (+.f64 (log.f64 re) (log.f64 -1)) (log.f64 base)))
(log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(log.f64 (*.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (/.f64 1 base)))))
(log.f64 (/.f64 (+.f64 (log.f64 re) (log.f64 -1)) (log.f64 base)))
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(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 re)) 1))
(+.f64 1 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) -1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 re))))
(+.f64 1 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) -1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(/.f64 (sqrt.f64 (log.f64 re)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 re))))
(+.f64 1 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) -1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(/.f64 (neg.f64 (log.f64 re)) (neg.f64 (log.f64 base)))
(+.f64 1 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) -1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 re))))
(+.f64 1 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) -1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (neg.f64 (neg.f64 (log.f64 base))))
(+.f64 1 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) -1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(/.f64 (/.f64 (log.f64 re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(+.f64 1 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) -1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(/.f64 (/.f64 (log.f64 re) 1) (log.f64 base))
(+.f64 1 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) -1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(/.f64 (/.f64 (log.f64 re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(+.f64 1 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) -1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 1)
(+.f64 1 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) -1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 3) 1/3)
(+.f64 1 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) -1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))) 3)
(+.f64 1 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) -1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 re) (log.f64 base))) 2)
(+.f64 1 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) -1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(pow.f64 (/.f64 (log.f64 base) (log.f64 re)) -1)
(+.f64 1 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) -1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))) 2)) (cbrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (log.f64 re) (log.f64 base))))
(pow.f64 (E.f64) (log.f64 (/.f64 (log.f64 re) (log.f64 base))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base))))) (sqrt.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))))
(neg.f64 (/.f64 (log.f64 re) (neg.f64 (log.f64 base))))
(+.f64 1 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) -1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 2))
(+.f64 1 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) -1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(log.f64 (pow.f64 re (/.f64 1 (log.f64 base))))
(+.f64 1 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) -1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 3))
(+.f64 1 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) -1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 re) 3) (pow.f64 (log.f64 base) 3)))
(+.f64 1 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) -1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 1 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) -1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 1 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) -1))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) 0)
(/.f64 (log.f64 re) (log.f64 base))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (log.f64 base) (log.f64 im))
✓0.3b
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 im)))
✓0.5b
(pow.f64 (log.f64 base) -2)
Compiler

Compiled 29 to 12 computations (58.6% saved)

series4.0ms (0%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
base
@-inf
(pow.f64 (log.f64 base) -2)
1.0ms
base
@0
(pow.f64 (log.f64 base) -2)
1.0ms
base
@inf
(pow.f64 (log.f64 base) -2)
0.0ms
base
@-inf
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 im)))
0.0ms
im
@inf
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 im)))

rewrite48.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
800×pow1_binary64
737×add-log-exp_binary64
736×log1p-expm1-u_binary64
736×expm1-log1p-u_binary64
720×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0922
118117
2209117
Stop Event
1×node limit
Counts
2 → 27
Calls
Call 1
Inputs
(pow.f64 (log.f64 base) -2)
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 im)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (log.f64 base) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (pow.f64 (log.f64 base) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -4)) (cbrt.f64 (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1) (pow.f64 (log.f64 base) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) -2) (pow.f64 (cbrt.f64 (log.f64 base)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (pow.f64 (sqrt.f64 (log.f64 base)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 3))))) (#(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 -.f64 (+.f64 1 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log.f64 base) -2) (pow.f64 (log.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (log.f64 base) -1)) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 3) (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3) (pow.f64 (pow.f64 (log.f64 base) -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))))))))

simplify40.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
785×times-frac_binary64
558×associate-*l*_binary64
496×associate-*r*_binary64
442×log-prod_binary64
311×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
099560
1216560
2622491
33785491
Stop Event
1×node limit
Counts
63 → 36
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.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))
(-.f64 (+.f64 1 (pow.f64 (log.f64 base) -2)) 1)
(*.f64 (pow.f64 (log.f64 base) -2) 1)
(*.f64 1 (pow.f64 (log.f64 base) -2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (pow.f64 (log.f64 base) -4)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -4)) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(*.f64 (pow.f64 (log.f64 base) -1) (pow.f64 (log.f64 base) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) -2) (pow.f64 (cbrt.f64 (log.f64 base)) -2))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
(sqrt.f64 (pow.f64 (log.f64 base) -4))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) -2)))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -2)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -2)))
(exp.f64 (*.f64 -2 (log.f64 (log.f64 base))))
(-.f64 (+.f64 1 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))) 1)
(pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)) 1)
(pow.f64 (pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))) 3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))) 2)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 base) -2) (pow.f64 (log.f64 im) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (log.f64 base) -1)) (log.f64 im)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 3) (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3) (pow.f64 (pow.f64 (log.f64 base) -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))))
(log1p.f64 (expm1.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))))
(exp.f64 (log.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))))
Outputs
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(/.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))
(-.f64 (+.f64 1 (pow.f64 (log.f64 base) -2)) 1)
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(*.f64 (pow.f64 (log.f64 base) -2) 1)
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(*.f64 1 (pow.f64 (log.f64 base) -2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (pow.f64 (log.f64 base) -4)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -4)) (cbrt.f64 (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (pow.f64 (log.f64 base) -4)))
(*.f64 (pow.f64 (log.f64 base) -1) (pow.f64 (log.f64 base) -1))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) -2) (pow.f64 (cbrt.f64 (log.f64 base)) -2))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(sqrt.f64 (pow.f64 (log.f64 base) -4))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(log.f64 (exp.f64 (pow.f64 (log.f64 base) -2)))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 3))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -2)))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -2)))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(exp.f64 (*.f64 -2 (log.f64 (log.f64 base))))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(pow.f64 (log.f64 base) -2)
(-.f64 (+.f64 1 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))) 1)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)) 1)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)) 3) 1/3)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))) 3)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))) 2)
(/.f64 (log.f64 im) (log.f64 base))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 base) -2) (pow.f64 (log.f64 im) 2)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (log.f64 base) -1)) (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)) 3))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 3) (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3)))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) 3) (pow.f64 (pow.f64 (log.f64 base) -2) 3)))
(/.f64 (log.f64 im) (log.f64 base))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))))
(/.f64 (log.f64 im) (log.f64 base))
(log1p.f64 (expm1.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (log.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))))
(/.f64 (log.f64 im) (log.f64 base))

eval157.0ms (1.5%)

Compiler

Compiled 6430 to 3050 computations (52.6% saved)

prune92.0ms (0.9%)

Pruning

38 alts after pruning (30 fresh and 8 done)

PrunedKeptTotal
New4585463
Fresh42529
Picked011
Done077
Total46238500
Error
0b
Counts
500 → 38
Alt Table
Click to see full alt table
StatusErrorProgram
46.2b
(pow.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3) 1/3)
47.4b
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
47.4b
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)
29.5b
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 3)
32.6b
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
32.2b
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
29.1b
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 -1 (log.f64 (/.f64 -1 re))))
0.8b
(/.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -3)))
29.1b
(/.f64 (*.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
✓0.4b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓29.1b
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
✓32.1b
(/.f64 (log.f64 im) (log.f64 base))
29.1b
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))
32.2b
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
0.7b
(/.f64 1 (-.f64 (+.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1))
0.5b
(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)))
32.3b
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
37.8b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) 1)
0.7b
(+.f64 1 (-.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1))
✓32.2b
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 im)))
✓0.5b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
29.1b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re)))
✓32.2b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
5.7b
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1) (log.f64 (hypot.f64 re im)))
34.6b
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1) (log.f64 im))
0.5b
(*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
32.7b
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))
32.4b
(*.f64 2 (log.f64 (pow.f64 im (/.f64 1/2 (log.f64 base)))))
29.9b
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
29.2b
(log.f64 (pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base))))
✓32.3b
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
46.3b
(log.f64 (pow.f64 im (exp.f64 (neg.f64 (log.f64 (log.f64 base))))))
32.8b
(log.f64 (-.f64 (+.f64 1 (pow.f64 im (/.f64 1 (log.f64 base)))) 1))
37.7b
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
40.9b
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓46.2b
(exp.f64 (log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
29.2b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3))
29.2b
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 re)) 3) (pow.f64 (log.f64 base) 3)))
Compiler

Compiled 465 to 373 computations (19.8% saved)

regimes168.0ms (1.6%)

Counts
72 → 1
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re)))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1) (log.f64 im))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 -1 (log.f64 (/.f64 -1 re))))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
(log.f64 (pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base))))
(*.f64 2 (log.f64 (pow.f64 im (/.f64 1/2 (log.f64 base)))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(log.f64 (-.f64 (+.f64 1 (pow.f64 im (/.f64 1 (log.f64 base)))) 1))
(+.f64 1 (-.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1))
(-.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
(/.f64 1 (*.f64 (/.f64 1 (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 (+.f64 1 (/.f64 1 (log.f64 base))) 1) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 -1 (log.f64 base)) (/.f64 1 (/.f64 -1 (log.f64 (hypot.f64 re im)))))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1))
(/.f64 (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1) (/.f64 1 (log.f64 (hypot.f64 re im))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (neg.f64 re)) (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)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) 3)
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 im)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) 3))
(/.f64 (*.f64 (log.f64 base) (log.f64 im)) (*.f64 (log.f64 base) (log.f64 base)))
(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1)
(pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) 3) 1/3)
(pow.f64 (-.f64 (+.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1) -1)
(/.f64 (*.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
(log.f64 (pow.f64 im (exp.f64 (neg.f64 (log.f64 (log.f64 base))))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(pow.f64 (cbrt.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)
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 re)) 3) (pow.f64 (log.f64 base) 3)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)
(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))
(pow.f64 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) -1)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) (/.f64 1 (log.f64 base))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -3)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(pow.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) -1)
(/.f64 (/.f64 (log.f64 (hypot.f64 im re)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) 4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Calls

5 calls:

33.0ms
base
33.0ms
im
32.0ms
(log.f64 base)
31.0ms
re
18.0ms
(/.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)))
Results
ErrorSegmentsBranch
0.4b1re
0.4b1im
0.4b1base
0.4b1(/.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)))
0.4b1(log.f64 base)
Compiler

Compiled 803 to 361 computations (55% saved)

regimes300.0ms (2.9%)

Accuracy

Total -51.4b remaining (-596%)

Threshold costs -51.4b (-596%)

Counts
12 → 4
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (neg.f64 re)))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1) (log.f64 im))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 -1 (log.f64 (/.f64 -1 re))))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
Outputs
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
Calls

4 calls:

118.0ms
base
87.0ms
(log.f64 base)
47.0ms
im
44.0ms
re
Results
ErrorSegmentsBranch
10.5b4re
8.6b4im
17.2b14base
17.2b14(log.f64 base)
Compiler

Compiled 116 to 67 computations (42.2% saved)

bsearch105.0ms (1%)

Algorithm
3×binary-search
Steps
TimeLeftRight
18.0ms
2.0558922762053263e-134
9.262613812857535e-134
61.0ms
4.898599365041758e-158
1.9915779874411922e-153
25.0ms
1.728592450293572e-192
6.729704294820829e-189
Results
101.0ms352×body256valid
Compiler

Compiled 455 to 355 computations (22% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02373
12773
22973
33073
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(if (<=.f64 im 4138576620843323/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 im 6183260036827613/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (/.f64 (log.f64 im) (log.f64 base)) (if (<=.f64 im 2301602771176975/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792) (/.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 4138576620843323/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 im 6183260036827613/123665200736552267030251260509823595017565674550605919957031528046448612553265933585158200530621522494798835713008069669675682517153375604983773077550946583958303386074349568) (/.f64 (log.f64 im) (log.f64 base)) (if (<=.f64 im 2301602771176975/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792) (/.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 55 to 31 computations (43.6% saved)

soundness143.0ms (1.4%)

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

Useful iterations: 4 (0.0ms)

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

Compiled 194 to 121 computations (37.6% saved)

end27.0ms (0.3%)

Remove

(sort re im)

Compiler

Compiled 69 to 35 computations (49.3% saved)

Profiling

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