Details

Time bar (total: 46.4s)

analyze280.0ms (0.6%)

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)

sample2.1s (4.6%)

Results
1.7s8256×body256valid
402.0ms2116×body256invalid
Bogosity

preprocess67.0ms (0.1%)

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)

simplify76.0ms (0.2%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
01922
13121
23821
34914
46611
57511
622011
792211
8152811
9174511
10224211
11273311
12362411
13563611
14682211
15738211
Stop Event
1×node limit
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
0.2b
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)))
▶0.3b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Compiler

Compiled 26 to 16 computations (38.5% saved)

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 22 to 7 computations (68.2% saved)

series449.0ms (1%)

Counts
1 → 32
Calls

9 calls:

TimeVariablePointExpression
258.0ms
base
@-inf
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
101.0ms
im
@-inf
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
42.0ms
base
@0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
17.0ms
re
@inf
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
7.0ms
re
@0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Compiler

Compiled 36122 to 30643 computations (15.2% saved)

rewrite47.0ms (0.1%)

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))))))))

simplify51.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
745×associate-/l*_binary64
537×fma-def_binary64
526×times-frac_binary64
500×associate-/r*_binary64
307×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02842370
18131870
227771740
Stop Event
1×node limit
Counts
63 → 125
Calls
Call 1
Inputs
(/.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (log.f64 base))
(+.f64 (/.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))))
(+.f64 (/.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (log.f64 base)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (pow.f64 re 4)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))))
(+.f64 (/.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (log.f64 base)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (pow.f64 re 4)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2))) (*.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 3)))) (pow.f64 re 6)) (log.f64 base))))))
(*.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 (*.f64 (pow.f64 im 2) (pow.f64 (/.f64 1 re) 2)) (log.f64 base))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (pow.f64 (/.f64 1 re) 4)) (log.f64 base))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 im 2) (pow.f64 (/.f64 1 re) 2)) (log.f64 base)))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (pow.f64 (/.f64 1 re) 4)) (log.f64 base))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 im 2) (pow.f64 (/.f64 1 re) 2)) (log.f64 base))) (*.f64 1/720 (/.f64 (*.f64 (pow.f64 (/.f64 1 re) 6) (+.f64 (*.f64 30 (pow.f64 (pow.f64 im 2) 3)) (*.f64 360 (*.f64 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2) (pow.f64 im 2))))) (log.f64 base))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (/.f64 -1 re) 2) (pow.f64 im 2)) (log.f64 base))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (/.f64 -1 re) 2) (pow.f64 im 2)) (log.f64 base))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (pow.f64 (/.f64 -1 re) 4)) (log.f64 base))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))))
(+.f64 (*.f64 1/720 (/.f64 (*.f64 (pow.f64 (/.f64 -1 re) 6) (+.f64 (*.f64 30 (pow.f64 (pow.f64 im 2) 3)) (*.f64 360 (*.f64 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2) (pow.f64 im 2))))) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (/.f64 -1 re) 2) (pow.f64 im 2)) (log.f64 base))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (pow.f64 (/.f64 -1 re) 4)) (log.f64 base))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))))
(/.f64 (log.f64 (sqrt.f64 (pow.f64 re 2))) (log.f64 base))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re 2)) 2)))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 re 2))) (log.f64 base)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re 2)) 2)))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 im 4) (+.f64 (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 re 2)) 2))) (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 re 2)) 2))))) (log.f64 base))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 re 2))) (log.f64 base))))
(+.f64 (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 re 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 re 2)) 2) 2))) (*.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 re 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 re 2)) 3)))) (pow.f64 im 6)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re 2)) 2)))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 im 4) (+.f64 (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 re 2)) 2))) (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 re 2)) 2))))) (log.f64 base))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 re 2))) (log.f64 base)))))
(*.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 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 im) 2)) (log.f64 base))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 (/.f64 1 im) 4) (+.f64 (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 re 2)) 2)) (*.f64 -3 (pow.f64 (pow.f64 re 2) 2)))) (log.f64 base))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 im) 2)) (log.f64 base)))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 (/.f64 1 im) 4) (+.f64 (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 re 2)) 2)) (*.f64 -3 (pow.f64 (pow.f64 re 2) 2)))) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 im) 2)) (log.f64 base))) (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 360 (*.f64 (pow.f64 re 2) (pow.f64 (*.f64 1/2 (pow.f64 re 2)) 2))) (*.f64 30 (pow.f64 (pow.f64 re 2) 3))) (pow.f64 (/.f64 1 im) 6)) (log.f64 base))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 -1 im) 2)) (log.f64 base))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 -1 im) 2)) (log.f64 base))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 re 2)) 2)) (*.f64 -3 (pow.f64 (pow.f64 re 2) 2))) (pow.f64 (/.f64 -1 im) 4)) (log.f64 base))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 -1 im) 2)) (log.f64 base))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 re 2)) 2)) (*.f64 -3 (pow.f64 (pow.f64 re 2) 2))) (pow.f64 (/.f64 -1 im) 4)) (log.f64 base))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 360 (*.f64 (pow.f64 re 2) (pow.f64 (*.f64 1/2 (pow.f64 re 2)) 2))) (*.f64 30 (pow.f64 (pow.f64 re 2) 3))) (pow.f64 (/.f64 -1 im) 6)) (log.f64 base))) (*.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 (+.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 (sqrt.f64 (pow.f64 im 2))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (*.f64 im im))) (log.f64 base))
(/.f64 (log.f64 (fabs.f64 im)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))))
(+.f64 (/.f64 (log.f64 (sqrt.f64 (*.f64 im im))) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)))))
(fma.f64 1/2 (/.f64 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 base)) (/.f64 (log.f64 (fabs.f64 im)) (log.f64 base)))
(fma.f64 1/2 (*.f64 (/.f64 re (*.f64 (log.f64 base) im)) (/.f64 re im)) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (/.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (log.f64 base)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (pow.f64 re 4)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))))
(+.f64 (/.f64 (log.f64 (sqrt.f64 (*.f64 im im))) (log.f64 base)) (fma.f64 1/24 (/.f64 (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)))) (/.f64 (log.f64 base) (pow.f64 re 4))) (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))))))
(+.f64 (/.f64 (log.f64 (fabs.f64 im)) (log.f64 base)) (fma.f64 1/2 (/.f64 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 base)) (*.f64 1/24 (/.f64 (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 im)) 2) (*.f64 im im)) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2) (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 re 4))))))
(fma.f64 1/2 (*.f64 (/.f64 re (*.f64 (log.f64 base) im)) (/.f64 re im)) (fma.f64 1/24 (*.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (fma.f64 -3 (/.f64 1 (pow.f64 im 4)) (*.f64 -12 (*.f64 (/.f64 1/2 (pow.f64 im 3)) (/.f64 1/2 im))))) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (/.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (log.f64 base)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (pow.f64 re 4)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2))) (*.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 3)))) (pow.f64 re 6)) (log.f64 base))))))
(+.f64 (/.f64 (log.f64 (sqrt.f64 (*.f64 im im))) (log.f64 base)) (fma.f64 1/24 (/.f64 (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)))) (/.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))) (*.f64 1/720 (/.f64 (fma.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 im im)) 2) 2)) (*.f64 30 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 im im)) 3)) (pow.f64 (sqrt.f64 (*.f64 im im)) 3)))) (/.f64 (log.f64 base) (pow.f64 re 6)))))))
(+.f64 (/.f64 (log.f64 (fabs.f64 im)) (log.f64 base)) (fma.f64 1/24 (/.f64 (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 im)) 2) (*.f64 im im)) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2) (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 base)) (*.f64 1/720 (*.f64 (/.f64 (fma.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2) (pow.f64 im 4)) (/.f64 (/.f64 30 (pow.f64 (fabs.f64 im) 3)) (pow.f64 (fabs.f64 im) 3))) (log.f64 base)) (pow.f64 re 6))))))
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 re (*.f64 (log.f64 base) im)) (/.f64 re im)) (/.f64 1/24 (/.f64 (/.f64 (log.f64 base) (pow.f64 re 4)) (fma.f64 -3 (/.f64 1 (pow.f64 im 4)) (*.f64 -12 (*.f64 (/.f64 1/2 (pow.f64 im 3)) (/.f64 1/2 im))))))) (fma.f64 1/720 (*.f64 (/.f64 (fma.f64 360 (/.f64 (pow.f64 (/.f64 1/2 im) 2) (pow.f64 im 4)) (/.f64 30 (pow.f64 im 6))) (log.f64 base)) (pow.f64 re 6)) (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 im 2) (pow.f64 (/.f64 1 re) 2)) (log.f64 base))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 (*.f64 im im) (pow.f64 (/.f64 1 re) 2)) (log.f64 base))))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 im im) (log.f64 base)) (pow.f64 (/.f64 1 re) 2))) (/.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 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (pow.f64 (/.f64 1 re) 4)) (log.f64 base))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 im 2) (pow.f64 (/.f64 1 re) 2)) (log.f64 base)))))
(fma.f64 1/24 (/.f64 (*.f64 (fma.f64 -3 (pow.f64 im 4) (*.f64 -12 (pow.f64 (*.f64 (*.f64 im im) 1/2) 2))) (pow.f64 (/.f64 1 re) 4)) (log.f64 base)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 (*.f64 im im) (pow.f64 (/.f64 1 re) 2)) (log.f64 base)))))
(fma.f64 1/24 (*.f64 (/.f64 (fma.f64 -3 (pow.f64 im 4) (*.f64 -12 (*.f64 (pow.f64 im 4) 1/4))) (log.f64 base)) (pow.f64 (/.f64 1 re) 4)) (-.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 im im) (log.f64 base)) (pow.f64 (/.f64 1 re) 2))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
(fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (fma.f64 1/24 (*.f64 (/.f64 (fma.f64 -12 (*.f64 (pow.f64 im 4) 1/4) (*.f64 -3 (pow.f64 im 4))) (log.f64 base)) (/.f64 1 (pow.f64 re 4))) (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (pow.f64 (/.f64 1 re) 4)) (log.f64 base))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 im 2) (pow.f64 (/.f64 1 re) 2)) (log.f64 base))) (*.f64 1/720 (/.f64 (*.f64 (pow.f64 (/.f64 1 re) 6) (+.f64 (*.f64 30 (pow.f64 (pow.f64 im 2) 3)) (*.f64 360 (*.f64 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2) (pow.f64 im 2))))) (log.f64 base))))))
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(-.f64 (fma.f64 1/2 (*.f64 (/.f64 re (/.f64 (log.f64 base) re)) (pow.f64 (/.f64 -1 im) 2)) (*.f64 1/24 (*.f64 (/.f64 (pow.f64 (/.f64 -1 im) 4) (log.f64 base)) (fma.f64 -12 (*.f64 (pow.f64 re 4) 1/4) (*.f64 -3 (pow.f64 re 4)))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 -1 im) 2)) (log.f64 base))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 re 2)) 2)) (*.f64 -3 (pow.f64 (pow.f64 re 2) 2))) (pow.f64 (/.f64 -1 im) 4)) (log.f64 base))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 360 (*.f64 (pow.f64 re 2) (pow.f64 (*.f64 1/2 (pow.f64 re 2)) 2))) (*.f64 30 (pow.f64 (pow.f64 re 2) 3))) (pow.f64 (/.f64 -1 im) 6)) (log.f64 base))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (/.f64 (log.f64 base) (pow.f64 (/.f64 -1 im) 2))) (fma.f64 1/24 (/.f64 (*.f64 (fma.f64 -12 (pow.f64 (*.f64 1/2 (*.f64 re re)) 2) (*.f64 -3 (pow.f64 re 4))) (pow.f64 (/.f64 -1 im) 4)) (log.f64 base)) (fma.f64 1/720 (/.f64 (fma.f64 360 (*.f64 (*.f64 re re) (pow.f64 (*.f64 1/2 (*.f64 re re)) 2)) (*.f64 30 (pow.f64 (*.f64 re re) 3))) (/.f64 (log.f64 base) (pow.f64 (/.f64 -1 im) 6))) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(fma.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 im) 2) (/.f64 (log.f64 base) (*.f64 re re))) (fma.f64 1/24 (*.f64 (/.f64 (fma.f64 -12 (*.f64 (pow.f64 re 4) 1/4) (*.f64 -3 (pow.f64 re 4))) (log.f64 base)) (pow.f64 (/.f64 -1 im) 4)) (-.f64 (*.f64 1/720 (/.f64 (fma.f64 360 (*.f64 (*.f64 re re) (*.f64 (pow.f64 re 4) 1/4)) (*.f64 30 (pow.f64 re 6))) (/.f64 (log.f64 base) (pow.f64 (/.f64 -1 im) 6)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 re (/.f64 (log.f64 base) re)) (pow.f64 (/.f64 -1 im) 2)) (fma.f64 1/24 (*.f64 (/.f64 (pow.f64 (/.f64 -1 im) 4) (log.f64 base)) (fma.f64 -12 (*.f64 (pow.f64 re 4) 1/4) (*.f64 -3 (pow.f64 re 4)))) (*.f64 1/720 (*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 re 4) 1/4) (*.f64 (*.f64 360 re) re) (*.f64 30 (pow.f64 re 6))) (log.f64 base)) (pow.f64 (/.f64 -1 im) 6))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(-.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 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))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 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))
(*.f64 1 (/.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))
(*.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 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (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 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (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 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (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 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (/.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 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.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))
(*.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 (log.f64 (hypot.f64 im re)) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (log.f64 (hypot.f64 im re)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (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 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 im re))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.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 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 im re)) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(/.f64 (log.f64 (hypot.f64 im re)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (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 (log.f64 (hypot.f64 im re)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 im re)) (*.f64 (sqrt.f64 (log.f64 base)) (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 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 im re)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 im re)) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 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))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(/.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))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(/.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))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(/.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))
(pow.f64 (/.f64 (log.f64 base) (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))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (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))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(/.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))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (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))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(/.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))
(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 im im) (*.f64 re re)))) (log.f64 base))
(/.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 im im) (*.f64 re re)))) (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 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))

localize39.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 40 to 9 computations (77.5% saved)

series1.1s (2.3%)

Counts
3 → 72
Calls

21 calls:

TimeVariablePointExpression
355.0ms
base
@-inf
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
235.0ms
base
@-inf
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
226.0ms
base
@-inf
(*.f64 (log.f64 base) (log.f64 base))
87.0ms
im
@-inf
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
73.0ms
im
@-inf
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Compiler

Compiled 103132 to 88858 computations (13.8% saved)

rewrite64.0ms (0.1%)

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 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (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 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))))))
((#(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 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(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))))))

simplify108.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
584×times-frac_binary64
362×associate-*r*_binary64
324×fma-def_binary64
318×associate-/l*_binary64
299×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05704294973248
115795148
268995120
Stop Event
1×node limit
Counts
189 → 318
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)
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im 2))))
(+.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im 2)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))
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(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 im) 2))) (pow.f64 (log.f64 base) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im))) (pow.f64 (log.f64 base) 2))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (*.f64 (+.f64 (*.f64 360 (*.f64 (pow.f64 re 2) (pow.f64 (*.f64 1/2 (pow.f64 re 2)) 2))) (*.f64 30 (pow.f64 (pow.f64 re 2) 3))) (pow.f64 (/.f64 1 im) 6))) (pow.f64 (log.f64 base) 2))) (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 (/.f64 1 im) 4) (+.f64 (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 re 2)) 2)) (*.f64 -3 (pow.f64 (pow.f64 re 2) 2))))) (pow.f64 (log.f64 base) 2))))))
(*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))) (pow.f64 (log.f64 base) 2)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 -1 im) 2))) (pow.f64 (log.f64 base) 2))) (*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))) (pow.f64 (log.f64 base) 2))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 -1 im) 2))) (pow.f64 (log.f64 base) 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (*.f64 (+.f64 (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 re 2)) 2)) (*.f64 -3 (pow.f64 (pow.f64 re 2) 2))) (pow.f64 (/.f64 -1 im) 4))) (pow.f64 (log.f64 base) 2))) (*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))) (pow.f64 (log.f64 base) 2)))))
(+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (*.f64 (+.f64 (*.f64 360 (*.f64 (pow.f64 re 2) (pow.f64 (*.f64 1/2 (pow.f64 re 2)) 2))) (*.f64 30 (pow.f64 (pow.f64 re 2) 3))) (pow.f64 (/.f64 -1 im) 6))) (pow.f64 (log.f64 base) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 -1 im) 2))) (pow.f64 (log.f64 base) 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (*.f64 (+.f64 (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 re 2)) 2)) (*.f64 -3 (pow.f64 (pow.f64 re 2) 2))) (pow.f64 (/.f64 -1 im) 4))) (pow.f64 (log.f64 base) 2))) (*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im))) (pow.f64 (log.f64 base) 2))))))
(/.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (pow.f64 (log.f64 base) 2))
(/.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (pow.f64 (log.f64 base) 2))
(/.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (pow.f64 (log.f64 base) 2))
(/.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (pow.f64 (log.f64 base) 2))
(*.f64 -1 (/.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))) (pow.f64 (log.f64 (/.f64 1 base)) 2)))
(*.f64 -1 (/.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))) (pow.f64 (log.f64 (/.f64 1 base)) 2)))
(*.f64 -1 (/.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))) (pow.f64 (log.f64 (/.f64 1 base)) 2)))
(*.f64 -1 (/.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))) (pow.f64 (log.f64 (/.f64 1 base)) 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 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))
(+.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))
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)
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im 2))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (*.f64 im im))))
(*.f64 (log.f64 base) (log.f64 (fabs.f64 im)))
(+.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im 2)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))
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(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(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 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) 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)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.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 (hypot.f64 re 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 (hypot.f64 re 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 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (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 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1) 1))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))

eval232.0ms (0.5%)

Compiler

Compiled 14869 to 8134 computations (45.3% saved)

prune96.0ms (0.2%)

Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New42221443
Fresh000
Picked101
Done011
Total42322445
Error
0.0b
Counts
445 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
32.0b
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
32.0b
(pow.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) (pow.f64 (log.f64 base) 6)) 1/3)
0.4b
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
32.1b
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
1.3b
(/.f64 (/.f64 (log.f64 (hypot.f64 im re)) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
29.8b
(/.f64 (*.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base))) (pow.f64 (log.f64 base) 2))
1.9b
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 6))
0.7b
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 6)))
31.8b
(/.f64 (*.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))) (pow.f64 (log.f64 base) 2))
31.8b
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
✓0.3b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶29.7b
(/.f64 (log.f64 im) (log.f64 base))
0.7b
(-.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
0.5b
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
▶0.4b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
1.0b
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
▶29.8b
(neg.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im)))))
1.4b
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
0.6b
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
13.9b
(expm1.f64 (log1p.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))
▶0.6b
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
Compiler

Compiled 594 to 441 computations (25.8% saved)

localize12.0ms (0%)

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)

series441.0ms (1%)

Counts
2 → 36
Calls

12 calls:

TimeVariablePointExpression
207.0ms
base
@-inf
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
128.0ms
base
@-inf
(/.f64 1 (log.f64 base))
70.0ms
im
@-inf
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
15.0ms
re
@inf
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
5.0ms
im
@0
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
Compiler

Compiled 51554 to 45043 computations (12.6% saved)

rewrite47.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

simplify65.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
522×unswap-sqr_binary64
520×fma-def_binary64
467×associate-*l/_binary64
465×associate-*r/_binary64
231×associate-/r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03052408
18451890
228931760
Stop Event
1×node limit
Counts
80 → 140
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 (pow.f64 im 2))) (log.f64 base))
(+.f64 (/.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))))
(+.f64 (/.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (log.f64 base)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (pow.f64 re 4)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))))
(+.f64 (/.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (log.f64 base)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (pow.f64 re 4)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2))) (*.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 3)))) (pow.f64 re 6)) (log.f64 base))))))
(*.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 (*.f64 (pow.f64 im 2) (pow.f64 (/.f64 1 re) 2)) (log.f64 base))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (pow.f64 (/.f64 1 re) 4)) (log.f64 base))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 im 2) (pow.f64 (/.f64 1 re) 2)) (log.f64 base)))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (pow.f64 (/.f64 1 re) 4)) (log.f64 base))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 im 2) (pow.f64 (/.f64 1 re) 2)) (log.f64 base))) (*.f64 1/720 (/.f64 (*.f64 (pow.f64 (/.f64 1 re) 6) (+.f64 (*.f64 30 (pow.f64 (pow.f64 im 2) 3)) (*.f64 360 (*.f64 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2) (pow.f64 im 2))))) (log.f64 base))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (/.f64 -1 re) 2) (pow.f64 im 2)) (log.f64 base))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (/.f64 -1 re) 2) (pow.f64 im 2)) (log.f64 base))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (pow.f64 (/.f64 -1 re) 4)) (log.f64 base))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))))
(+.f64 (*.f64 1/720 (/.f64 (*.f64 (pow.f64 (/.f64 -1 re) 6) (+.f64 (*.f64 30 (pow.f64 (pow.f64 im 2) 3)) (*.f64 360 (*.f64 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2) (pow.f64 im 2))))) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (/.f64 -1 re) 2) (pow.f64 im 2)) (log.f64 base))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (pow.f64 (/.f64 -1 re) 4)) (log.f64 base))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))))
(/.f64 (log.f64 (sqrt.f64 (pow.f64 re 2))) (log.f64 base))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re 2)) 2)))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 re 2))) (log.f64 base)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re 2)) 2)))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 im 4) (+.f64 (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 re 2)) 2))) (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 re 2)) 2))))) (log.f64 base))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 re 2))) (log.f64 base))))
(+.f64 (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 re 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 re 2)) 2) 2))) (*.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 re 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 re 2)) 3)))) (pow.f64 im 6)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 re 2)) 2)))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 im 4) (+.f64 (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 re 2)) 2))) (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 re 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 re 2)) 2))))) (log.f64 base))) (/.f64 (log.f64 (sqrt.f64 (pow.f64 re 2))) (log.f64 base)))))
(*.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 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 im) 2)) (log.f64 base))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 (/.f64 1 im) 4) (+.f64 (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 re 2)) 2)) (*.f64 -3 (pow.f64 (pow.f64 re 2) 2)))) (log.f64 base))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 im) 2)) (log.f64 base)))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 (/.f64 1 im) 4) (+.f64 (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 re 2)) 2)) (*.f64 -3 (pow.f64 (pow.f64 re 2) 2)))) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 im) 2)) (log.f64 base))) (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 360 (*.f64 (pow.f64 re 2) (pow.f64 (*.f64 1/2 (pow.f64 re 2)) 2))) (*.f64 30 (pow.f64 (pow.f64 re 2) 3))) (pow.f64 (/.f64 1 im) 6)) (log.f64 base))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 -1 im) 2)) (log.f64 base))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 -1 im) 2)) (log.f64 base))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 re 2)) 2)) (*.f64 -3 (pow.f64 (pow.f64 re 2) 2))) (pow.f64 (/.f64 -1 im) 4)) (log.f64 base))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 -1 im) 2)) (log.f64 base))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 re 2)) 2)) (*.f64 -3 (pow.f64 (pow.f64 re 2) 2))) (pow.f64 (/.f64 -1 im) 4)) (log.f64 base))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 360 (*.f64 (pow.f64 re 2) (pow.f64 (*.f64 1/2 (pow.f64 re 2)) 2))) (*.f64 30 (pow.f64 (pow.f64 re 2) 3))) (pow.f64 (/.f64 -1 im) 6)) (log.f64 base))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(-.f64 (+.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))))
(-.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))))
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 (pow.f64 im 2))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (*.f64 im im))) (log.f64 base))
(/.f64 (log.f64 (fabs.f64 im)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))))
(+.f64 (/.f64 (log.f64 (sqrt.f64 (*.f64 im im))) (log.f64 base)) (*.f64 1/2 (/.f64 (/.f64 (*.f64 re re) (log.f64 base)) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))))
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (/.f64 (log.f64 (fabs.f64 im)) (log.f64 base)))
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (/.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (log.f64 base)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (pow.f64 re 4)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))))
(+.f64 (/.f64 (log.f64 (sqrt.f64 (*.f64 im im))) (log.f64 base)) (fma.f64 1/24 (/.f64 (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)))) (/.f64 (log.f64 base) (pow.f64 re 4))) (*.f64 1/2 (/.f64 (/.f64 (*.f64 re re) (log.f64 base)) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)))))
(+.f64 (/.f64 (log.f64 (fabs.f64 im)) (log.f64 base)) (fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (*.f64 1/24 (/.f64 (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 im)) 2) (*.f64 im im)) (/.f64 (*.f64 -12 (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2)) (*.f64 im im))) (/.f64 (log.f64 base) (pow.f64 re 4))))))
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (fma.f64 1/24 (*.f64 (/.f64 (fma.f64 -3 (/.f64 1 (pow.f64 im 4)) (*.f64 -12 (/.f64 (/.f64 1/4 im) (pow.f64 im 3)))) (log.f64 base)) (pow.f64 re 4)) (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (/.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (log.f64 base)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (pow.f64 re 4)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2))) (*.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 3)))) (pow.f64 re 6)) (log.f64 base))))))
(+.f64 (/.f64 (log.f64 (sqrt.f64 (*.f64 im im))) (log.f64 base)) (fma.f64 1/24 (/.f64 (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)))) (/.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (/.f64 (*.f64 re re) (log.f64 base)) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)) (*.f64 1/720 (/.f64 (fma.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 im im)) 2) 2)) (*.f64 30 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 im im)) 3)) (pow.f64 (sqrt.f64 (*.f64 im im)) 3)))) (/.f64 (log.f64 base) (pow.f64 re 6)))))))
(+.f64 (/.f64 (log.f64 (fabs.f64 im)) (log.f64 base)) (fma.f64 1/24 (/.f64 (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 im)) 2) (*.f64 im im)) (/.f64 (*.f64 -12 (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2)) (*.f64 im im))) (/.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (*.f64 1/720 (/.f64 (fma.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2) (pow.f64 im 4)) (/.f64 (/.f64 30 (pow.f64 (fabs.f64 im) 3)) (pow.f64 (fabs.f64 im) 3))) (/.f64 (log.f64 base) (pow.f64 re 6)))))))
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 re (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 base))) (fma.f64 1/24 (*.f64 (/.f64 (fma.f64 -3 (/.f64 1 (pow.f64 im 4)) (*.f64 -12 (/.f64 (/.f64 1/4 im) (pow.f64 im 3)))) (log.f64 base)) (pow.f64 re 4)) (*.f64 (/.f64 1/720 (log.f64 base)) (*.f64 (fma.f64 360 (/.f64 (/.f64 1/4 im) (pow.f64 im 5)) (/.f64 30 (pow.f64 im 6))) (pow.f64 re 6)))))
(*.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 (*.f64 (pow.f64 im 2) (pow.f64 (/.f64 1 re) 2)) (log.f64 base))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 im im) (/.f64 (log.f64 base) (pow.f64 (/.f64 1 re) 2)))))
(-.f64 (*.f64 1/2 (*.f64 (/.f64 im (/.f64 (log.f64 base) im)) (pow.f64 (/.f64 1 re) 2))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(fma.f64 1/2 (*.f64 (/.f64 im (/.f64 (log.f64 base) im)) (/.f64 1 (*.f64 re re))) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (pow.f64 (/.f64 1 re) 4)) (log.f64 base))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 im 2) (pow.f64 (/.f64 1 re) 2)) (log.f64 base)))))
(fma.f64 1/24 (/.f64 (fma.f64 -3 (pow.f64 im 4) (*.f64 -12 (pow.f64 (*.f64 (*.f64 im im) 1/2) 2))) (/.f64 (log.f64 base) (pow.f64 (/.f64 1 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) (pow.f64 (/.f64 1 re) 2))))))
(fma.f64 1/24 (/.f64 (fma.f64 -3 (pow.f64 im 4) (*.f64 -12 (*.f64 (pow.f64 im 4) 1/4))) (/.f64 (log.f64 base) (pow.f64 (/.f64 1 re) 4))) (-.f64 (*.f64 1/2 (*.f64 (/.f64 im (/.f64 (log.f64 base) im)) (pow.f64 (/.f64 1 re) 2))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))))
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(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 -1 im) 2)) (log.f64 base))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 re 2)) 2)) (*.f64 -3 (pow.f64 (pow.f64 re 2) 2))) (pow.f64 (/.f64 -1 im) 4)) (log.f64 base))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (/.f64 (log.f64 base) (pow.f64 (/.f64 -1 im) 2))) (fma.f64 1/24 (/.f64 (fma.f64 -12 (pow.f64 (*.f64 (*.f64 re re) 1/2) 2) (*.f64 -3 (pow.f64 re 4))) (/.f64 (log.f64 base) (pow.f64 (/.f64 -1 im) 4))) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(fma.f64 1/2 (*.f64 (/.f64 re (/.f64 (log.f64 base) re)) (pow.f64 (/.f64 -1 im) 2)) (-.f64 (*.f64 1/24 (*.f64 (/.f64 (fma.f64 -12 (*.f64 (pow.f64 re 4) 1/4) (*.f64 -3 (pow.f64 re 4))) (log.f64 base)) (pow.f64 (/.f64 -1 im) 4))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (fma.f64 1/24 (*.f64 (/.f64 (fma.f64 -12 (*.f64 (pow.f64 re 4) 1/4) (*.f64 -3 (pow.f64 re 4))) (log.f64 base)) (/.f64 1 (pow.f64 im 4))) (*.f64 (/.f64 1/2 (log.f64 base)) (*.f64 re (*.f64 re (/.f64 1 (*.f64 im im)))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 -1 im) 2)) (log.f64 base))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 re 2)) 2)) (*.f64 -3 (pow.f64 (pow.f64 re 2) 2))) (pow.f64 (/.f64 -1 im) 4)) (log.f64 base))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 360 (*.f64 (pow.f64 re 2) (pow.f64 (*.f64 1/2 (pow.f64 re 2)) 2))) (*.f64 30 (pow.f64 (pow.f64 re 2) 3))) (pow.f64 (/.f64 -1 im) 6)) (log.f64 base))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (/.f64 (log.f64 base) (pow.f64 (/.f64 -1 im) 2))) (fma.f64 1/24 (/.f64 (fma.f64 -12 (pow.f64 (*.f64 (*.f64 re re) 1/2) 2) (*.f64 -3 (pow.f64 re 4))) (/.f64 (log.f64 base) (pow.f64 (/.f64 -1 im) 4))) (fma.f64 1/720 (/.f64 (fma.f64 360 (*.f64 (*.f64 re re) (pow.f64 (*.f64 (*.f64 re re) 1/2) 2)) (*.f64 30 (pow.f64 (*.f64 re re) 3))) (/.f64 (log.f64 base) (pow.f64 (/.f64 -1 im) 6))) (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(fma.f64 1/2 (*.f64 (/.f64 re (/.f64 (log.f64 base) re)) (pow.f64 (/.f64 -1 im) 2)) (-.f64 (fma.f64 1/24 (*.f64 (/.f64 (fma.f64 -12 (*.f64 (pow.f64 re 4) 1/4) (*.f64 -3 (pow.f64 re 4))) (log.f64 base)) (pow.f64 (/.f64 -1 im) 4)) (*.f64 1/720 (*.f64 (/.f64 (fma.f64 360 (*.f64 (*.f64 re re) (*.f64 (pow.f64 re 4) 1/4)) (*.f64 30 (pow.f64 re 6))) (log.f64 base)) (pow.f64 (/.f64 -1 im) 6)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 (/.f64 re (log.f64 base)) re) (/.f64 1 (*.f64 im im))) (fma.f64 1/24 (*.f64 (/.f64 (fma.f64 -12 (*.f64 (pow.f64 re 4) 1/4) (*.f64 -3 (pow.f64 re 4))) (log.f64 base)) (/.f64 1 (pow.f64 im 4))) (*.f64 1/720 (*.f64 (/.f64 (fma.f64 (*.f64 re re) (*.f64 (*.f64 (pow.f64 re 4) 1/4) 360) (*.f64 30 (pow.f64 re 6))) (log.f64 base)) (/.f64 1 (pow.f64 im 6)))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(-.f64 (+.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))
(-.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))
(pow.f64 (sqrt.f64 (log.f64 base)) -2)
(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))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 14 to 6 computations (57.1% saved)

series359.0ms (0.8%)

Counts
1 → 8
Calls

6 calls:

TimeVariablePointExpression
154.0ms
im
@-inf
(/.f64 (log.f64 im) (log.f64 base))
144.0ms
base
@-inf
(/.f64 (log.f64 im) (log.f64 base))
30.0ms
im
@0
(/.f64 (log.f64 im) (log.f64 base))
18.0ms
im
@inf
(/.f64 (log.f64 im) (log.f64 base))
11.0ms
base
@0
(/.f64 (log.f64 im) (log.f64 base))
Compiler

Compiled 32944 to 28816 computations (12.5% saved)

rewrite45.0ms (0.1%)

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))))))))

simplify38.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
546×log-prod_binary64
472×associate-*r*_binary64
360×fma-def_binary64
351×distribute-rgt-neg-out_binary64
292×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
086474
1207326
2639326
33899326
Stop Event
1×node limit
Counts
38 → 36
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 -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 (+.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 -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 (+.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 (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 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (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))))
(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))

localize18.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im))))
✓0.3b
(/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im)))
✓0.5b
(pow.f64 (log.f64 base) 2)
Compiler

Compiled 48 to 21 computations (56.3% saved)

series1.4s (3.1%)

Counts
3 → 36
Calls

15 calls:

TimeVariablePointExpression
570.0ms
base
@-inf
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im))))
227.0ms
base
@-inf
(/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im)))
214.0ms
im
@-inf
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im))))
205.0ms
base
@-inf
(pow.f64 (log.f64 base) 2)
190.0ms
im
@-inf
(/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im)))
Compiler

Compiled 111144 to 98756 computations (11.1% saved)

rewrite56.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
962×pow1_binary64
891×add-log-exp_binary64
890×log1p-expm1-u_binary64
890×expm1-log1p-u_binary64
105×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01037
121528
2289728
Stop Event
1×node limit
Counts
3 → 102
Calls
Call 1
Inputs
(pow.f64 (log.f64 base) 2)
(/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im)))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (log.f64 base))))) (#(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) 4)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) 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 (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 0 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 1 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 2) (/.f64 1 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (/.f64 1 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (/.f64 1 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))) 2) (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))) 2) (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))) (neg.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (/.f64 1 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 im)) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) 1) (/.f64 (log.f64 base) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 im) 2))) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 im) 2))) (/.f64 (pow.f64 (log.f64 base) 2) (cbrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (cbrt.f64 (pow.f64 (log.f64 im) 2))) (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 im))) (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (log.f64 im))))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)))) 1)))) (#(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) (pow.f64 (log.f64 base) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)) 2)) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 base) -1) (cbrt.f64 (pow.f64 (log.f64 im) 2))) (cbrt.f64 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 base) -1) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 base) -1) -1) (log.f64 im))))) (#(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 pow.f64 (/.f64 1 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 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-1))))))))

simplify50.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
650×unswap-sqr_binary64
452×associate-/r/_binary64
320×associate-/l/_binary64
269×distribute-rgt-in_binary64
259×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02331866
15551534
221901528
Stop Event
1×node limit
Counts
138 → 132
Calls
Call 1
Inputs
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 base)) 2) (log.f64 im)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 base)) 2) (log.f64 im)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 base)) 2) (log.f64 im)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 base)) 2) (log.f64 im)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (/.f64 1 im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (/.f64 1 im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (/.f64 1 im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (/.f64 1 im)))
(*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (log.f64 (/.f64 1 base)) (log.f64 im)) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (*.f64 (log.f64 (/.f64 1 base)) (log.f64 im)) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (*.f64 (log.f64 (/.f64 1 base)) (log.f64 im)) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (*.f64 (log.f64 (/.f64 1 base)) (log.f64 im)) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im))) (pow.f64 (log.f64 base) 2))
(/.f64 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im))) (pow.f64 (log.f64 base) 2))
(/.f64 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im))) (pow.f64 (log.f64 base) 2))
(/.f64 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im))) (pow.f64 (log.f64 base) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) 2) 1)
(*.f64 1 (pow.f64 (log.f64 base) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.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 (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 0 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))) 1)
(*.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 1 (log.f64 im))))
(*.f64 (pow.f64 (log.f64 base) 2) (/.f64 1 (log.f64 im)))
(*.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (/.f64 1 (log.f64 im))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)) 1)
(*.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (/.f64 1 (log.f64 im))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))) 2) (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))) 2) (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))))
(*.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))
(*.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))) (neg.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im)))))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (/.f64 1 (log.f64 im)))
(*.f64 (/.f64 1 (log.f64 im)) (pow.f64 (log.f64 base) 2))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(*.f64 (/.f64 (log.f64 base) 1) (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (log.f64 im)))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 im) 2))) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 im) 2))) (/.f64 (pow.f64 (log.f64 base) 2) (cbrt.f64 (log.f64 im))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (cbrt.f64 (pow.f64 (log.f64 im) 2))) (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 im))) (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (log.f64 im))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (sqrt.f64 (log.f64 im))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (sqrt.f64 (log.f64 im))))
(*.f64 (/.f64 (log.f64 base) -1) (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) -1) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (log.f64 im)))
(*.f64 (neg.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im)))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))) 2)) (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))))
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)) 1)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))) 3)
(pow.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))) 2)
(pow.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(sqrt.f64 (/.f64 (pow.f64 (log.f64 base) 4) (pow.f64 (log.f64 im) 2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3) (pow.f64 (log.f64 im) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)))) 1)
(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))
(*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)) 1)
(*.f64 1 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))))
(*.f64 (cbrt.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)) 2)) (cbrt.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))) (sqrt.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) -1) (log.f64 im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (/.f64 (cbrt.f64 (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) 1) (/.f64 (sqrt.f64 (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (sqrt.f64 (log.f64 base)) (/.f64 1 (log.f64 im))))
(*.f64 (/.f64 (log.f64 base) 1) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (/.f64 (log.f64 base) (/.f64 1 (log.f64 im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (log.f64 base) 2)) (/.f64 (cbrt.f64 (log.f64 base)) (/.f64 1 (log.f64 im))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))) 2)) (/.f64 (log.f64 base) (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))) 2)) (cbrt.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))) 2)) (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))))
(*.f64 (/.f64 1 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im)))) (/.f64 (log.f64 base) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im)))) (/.f64 (cbrt.f64 (log.f64 base)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im)))))
(*.f64 (/.f64 (log.f64 base) (neg.f64 (pow.f64 (log.f64 base) 2))) (log.f64 im))
(*.f64 (*.f64 (pow.f64 (log.f64 base) -1) 1) (log.f64 im))
(*.f64 (*.f64 (pow.f64 (log.f64 base) -1) (cbrt.f64 (pow.f64 (log.f64 im) 2))) (cbrt.f64 (log.f64 im)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) -1) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) -1) -1) (log.f64 im))
(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)
(pow.f64 (/.f64 1 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))) -1)
(neg.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (log.f64 base) -1)) (log.f64 im)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)))))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)) 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
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 im))
(/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 im))
(/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 im))
(/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 im))
(/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 base)) 2) (log.f64 im)))
(neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 im))
(/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 base)) 2) (log.f64 im)))
(neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 im))
(/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 base)) 2) (log.f64 im)))
(neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 im))
(/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 base)) 2) (log.f64 im)))
(neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 im))
(/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 im))
(/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 im))
(/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 im))
(/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 im))
(/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (/.f64 1 im)))
(neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 im))
(/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (/.f64 1 im)))
(neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 im))
(/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (/.f64 1 im)))
(neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 im))
(/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im)))
(/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (/.f64 1 im)))
(neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 im))
(/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im)))
(*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 (/.f64 1 base)) (log.f64 im)) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 (/.f64 1 base)) (log.f64 im)) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 (/.f64 1 base)) (log.f64 im)) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 (/.f64 1 base)) (log.f64 im)) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im))) (pow.f64 (log.f64 base) 2))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im))) (pow.f64 (log.f64 base) 2))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im))) (pow.f64 (log.f64 base) 2))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im))) (pow.f64 (log.f64 base) 2))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 base)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (neg.f64 (log.f64 base)) 2)
(pow.f64 (log.f64 base) 2)
(*.f64 (pow.f64 (log.f64 base) 2) 1)
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(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))) 2)) (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))))
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 1 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im)))) (/.f64 (log.f64 base) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im)))))
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im)))) (/.f64 (cbrt.f64 (log.f64 base)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im)))))
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (neg.f64 (pow.f64 (log.f64 base) 2))) (log.f64 im))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) -1) 1) (log.f64 im))
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (*.f64 (pow.f64 (log.f64 base) -1) (cbrt.f64 (pow.f64 (log.f64 im) 2))) (cbrt.f64 (log.f64 im)))
(*.f64 (cbrt.f64 (log.f64 im)) (*.f64 (cbrt.f64 (pow.f64 (log.f64 im) 2)) (/.f64 1 (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 im) 2)) (*.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (log.f64 im))))
(*.f64 (cbrt.f64 (log.f64 im)) (/.f64 (cbrt.f64 (pow.f64 (log.f64 im) 2)) (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) -1) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (*.f64 (pow.f64 (log.f64 base) -1) -1) (log.f64 im))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 base)))
(pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)) 1)
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base)))
(/.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) (/.f64 1 (log.f64 base)))
(/.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) (/.f64 1 (log.f64 base)))
(/.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) (/.f64 1 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 1 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))) -1)
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)) 2))
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base)))
(/.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) (/.f64 1 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1)))))
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base)))
(/.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) (/.f64 1 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)) 3)))
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base)))
(/.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) (/.f64 1 (log.f64 base)))
(/.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) (/.f64 1 (log.f64 base)))
(/.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) (/.f64 1 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))

localize14.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiled 42 to 13 computations (69% saved)

series6.1s (13%)

Counts
2 → 64
Calls

18 calls:

TimeVariablePointExpression
3.7s
base
@-inf
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
1.2s
im
@-inf
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
441.0ms
base
@-inf
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)
255.0ms
im
@-inf
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)
186.0ms
re
@inf
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
Compiler

Compiled 337011 to 272040 computations (19.3% saved)

rewrite55.0ms (0.1%)

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

simplify189.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
817×associate-/l*_binary64
540×fma-def_binary64
446×associate-*l/_binary64
339×distribute-lft-in_binary64
339×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084619212
1305015628
Stop Event
1×node limit
Counts
144 → 250
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (log.f64 (sqrt.f64 (pow.f64 im 2)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (log.f64 (sqrt.f64 (pow.f64 im 2)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (/.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))))))
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(*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (log.f64 (/.f64 1 re))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))
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(*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3))
(*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3))
(*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3))
(*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) 2) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))) 1)
(*.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)))
(*.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 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1)
(*.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 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (log.f64 (sqrt.f64 (pow.f64 im 2)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (log.f64 (fabs.f64 im)) 3) (pow.f64 (log.f64 base) 3))
(+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (log.f64 (sqrt.f64 (pow.f64 im 2)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (/.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))))))
(+.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 3) (pow.f64 (log.f64 base) 3)) (*.f64 (*.f64 re re) (*.f64 3/2 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 2) (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))))))
(fma.f64 (*.f64 re re) (*.f64 3/2 (/.f64 (pow.f64 (log.f64 (fabs.f64 im)) 2) (*.f64 (pow.f64 (log.f64 base) 3) (*.f64 im im)))) (/.f64 (pow.f64 (log.f64 (fabs.f64 im)) 3) (pow.f64 (log.f64 base) 3)))
(+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (log.f64 (sqrt.f64 (pow.f64 im 2)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) (+.f64 (*.f64 (pow.f64 re 4) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2))))) (+.f64 (/.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (pow.f64 (log.f64 base) 2))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2)))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (log.f64 (sqrt.f64 (pow.f64 im 2)))) (pow.f64 (log.f64 base) 2)))))) (log.f64 base)) (*.f64 1/24 (/.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))))) (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (/.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))))))
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(/.f64 (log.f64 (hypot.f64 im re)) (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 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) (/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 2)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.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))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (log.f64 (hypot.f64 im re)) (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 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 2)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 im re))) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.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 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2)) (*.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 2)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 im re))) (log.f64 base)))
(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (neg.f64 (log.f64 base))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))
(fabs.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiled 49 to 22 computations (55.1% saved)

series7.4s (16%)

Counts
4 → 96
Calls

27 calls:

TimeVariablePointExpression
3.9s
base
@-inf
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
1.6s
im
@-inf
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
502.0ms
base
@-inf
(/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3))
256.0ms
base
@-inf
(pow.f64 (log.f64 base) 3)
252.0ms
im
@-inf
(/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3))
Compiler

Compiled 428738 to 350478 computations (18.3% saved)

rewrite72.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01243
125340
2288240
Stop Event
1×node limit
Counts
4 → 171
Calls
Call 1
Inputs
(pow.f64 (log.f64 (hypot.f64 re im)) 3)
(pow.f64 (log.f64 base) 3)
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3))
Outputs
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simplify252.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
962×fma-def_binary64
470×distribute-lft-in_binary64
470×distribute-rgt-in_binary64
414×*-commutative_binary64
291×sqr-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012074294991084
1410519324
Stop Event
1×node limit
Counts
267 → 457
Calls
Call 1
Inputs
(*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (log.f64 (sqrt.f64 (pow.f64 im 2))))
(+.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (log.f64 (sqrt.f64 (pow.f64 im 2)))) (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (/.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))))
(+.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (log.f64 (sqrt.f64 (pow.f64 im 2)))) (+.f64 (*.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (log.f64 (sqrt.f64 (pow.f64 im 2))))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2))) (*.f64 1/24 (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))))) (*.f64 1/2 (/.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2))))) (pow.f64 re 4)) (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (/.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))))
(+.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (log.f64 (sqrt.f64 (pow.f64 im 2)))) (+.f64 (*.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (log.f64 (sqrt.f64 (pow.f64 im 2))))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2))) (*.f64 1/24 (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))))) (*.f64 1/2 (/.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2))))) (pow.f64 re 4)) (+.f64 (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (/.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (*.f64 (+.f64 (*.f64 1/720 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (+.f64 (*.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2))) (*.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 3)))))) (+.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (+.f64 (*.f64 1/360 (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (+.f64 (*.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2))) (*.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 3)))))) (*.f64 1/24 (/.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (log.f64 (sqrt.f64 (pow.f64 im 2))))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2))) (*.f64 1/24 (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))))))) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (log.f64 (sqrt.f64 (pow.f64 im 2)))) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))))) (pow.f64 re 6)))))
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (log.f64 (/.f64 1 re))))
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(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 9) (pow.f64 (log.f64 base) 9)))
(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)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3/2)) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -3)) -1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1) 3))
Outputs
(*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (log.f64 (sqrt.f64 (pow.f64 im 2))))
(pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 3)
(pow.f64 (log.f64 (fabs.f64 im)) 3)
(+.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (log.f64 (sqrt.f64 (pow.f64 im 2)))) (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (/.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))))
(+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 3) (*.f64 (*.f64 re re) (*.f64 3/2 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)))))
(fma.f64 (*.f64 re re) (*.f64 3/2 (/.f64 (pow.f64 (log.f64 (fabs.f64 im)) 2) (*.f64 im im))) (pow.f64 (log.f64 (fabs.f64 im)) 3))
(+.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (log.f64 (sqrt.f64 (pow.f64 im 2)))) (+.f64 (*.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (log.f64 (sqrt.f64 (pow.f64 im 2))))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2))) (*.f64 1/24 (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))))) (*.f64 1/2 (/.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2))))) (pow.f64 re 4)) (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (/.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))))
(+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 3) (fma.f64 (fma.f64 (log.f64 (sqrt.f64 (*.f64 im im))) (fma.f64 1/24 (*.f64 (log.f64 (sqrt.f64 (*.f64 im im))) (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))))) (+.f64 (*.f64 (*.f64 1/24 (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))))) (log.f64 (sqrt.f64 (*.f64 im im)))) (/.f64 1/4 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 im im)) 2) 2)))) (fma.f64 1/24 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 2) (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))))) (/.f64 (*.f64 1/2 (log.f64 (sqrt.f64 (*.f64 im im)))) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 im im)) 2) 2)))) (pow.f64 re 4) (*.f64 (*.f64 re re) (*.f64 3/2 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))))))
(+.f64 (pow.f64 (log.f64 (fabs.f64 im)) 3) (fma.f64 (fma.f64 (log.f64 (fabs.f64 im)) (fma.f64 1/24 (*.f64 (log.f64 (fabs.f64 im)) (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2) (*.f64 im im)) (/.f64 (*.f64 -3 (pow.f64 (/.f64 1 (fabs.f64 im)) 2)) (*.f64 im im)))) (fma.f64 1/24 (*.f64 (log.f64 (fabs.f64 im)) (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2) (*.f64 im im)) (/.f64 (*.f64 -3 (pow.f64 (/.f64 1 (fabs.f64 im)) 2)) (*.f64 im im)))) (/.f64 1/4 (pow.f64 im 4)))) (fma.f64 (*.f64 1/24 (pow.f64 (log.f64 (fabs.f64 im)) 2)) (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2) (*.f64 im im)) (/.f64 (*.f64 -3 (pow.f64 (/.f64 1 (fabs.f64 im)) 2)) (*.f64 im im))) (*.f64 1/2 (/.f64 (log.f64 (fabs.f64 im)) (pow.f64 im 4))))) (pow.f64 re 4) (*.f64 (*.f64 re re) (*.f64 3/2 (/.f64 (pow.f64 (log.f64 (fabs.f64 im)) 2) (*.f64 im im))))))
(+.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (log.f64 (sqrt.f64 (pow.f64 im 2)))) (+.f64 (*.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (log.f64 (sqrt.f64 (pow.f64 im 2))))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2))) (*.f64 1/24 (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))))) (*.f64 1/2 (/.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2))))) (pow.f64 re 4)) (+.f64 (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (/.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (*.f64 (+.f64 (*.f64 1/720 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (+.f64 (*.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2))) (*.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 3)))))) (+.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (+.f64 (*.f64 1/360 (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (+.f64 (*.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2))) (*.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 3)))))) (*.f64 1/24 (/.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (log.f64 (sqrt.f64 (pow.f64 im 2))))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2))) (*.f64 1/24 (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))))))) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (log.f64 (sqrt.f64 (pow.f64 im 2)))) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))))) (pow.f64 re 6)))))
(+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 3) (fma.f64 (fma.f64 (log.f64 (sqrt.f64 (*.f64 im im))) (fma.f64 1/24 (*.f64 (log.f64 (sqrt.f64 (*.f64 im im))) (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))))) (+.f64 (*.f64 (*.f64 1/24 (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))))) (log.f64 (sqrt.f64 (*.f64 im im)))) (/.f64 1/4 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 im im)) 2) 2)))) (fma.f64 1/24 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 2) (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))))) (/.f64 (*.f64 1/2 (log.f64 (sqrt.f64 (*.f64 im im)))) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 im im)) 2) 2)))) (pow.f64 re 4) (fma.f64 (*.f64 re re) (*.f64 3/2 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))) (*.f64 (fma.f64 1/720 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 2) (fma.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 im im)) 2) 2)) (*.f64 30 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 im im)) 3)) (pow.f64 (sqrt.f64 (*.f64 im im)) 3))))) (fma.f64 (log.f64 (sqrt.f64 (*.f64 im im))) (fma.f64 1/360 (*.f64 (log.f64 (sqrt.f64 (*.f64 im im))) (fma.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 im im)) 2) 2)) (*.f64 30 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 im im)) 3)) (pow.f64 (sqrt.f64 (*.f64 im im)) 3))))) (/.f64 (*.f64 1/24 (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))))) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))) (fma.f64 1/2 (/.f64 (fma.f64 1/24 (*.f64 (log.f64 (sqrt.f64 (*.f64 im im))) (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))))) (+.f64 (*.f64 (*.f64 1/24 (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))))) (log.f64 (sqrt.f64 (*.f64 im im)))) (/.f64 1/4 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 im im)) 2) 2)))) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)) (/.f64 (*.f64 (*.f64 1/24 (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))))) (log.f64 (sqrt.f64 (*.f64 im im)))) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))))) (pow.f64 re 6)))))
(+.f64 (pow.f64 (log.f64 (fabs.f64 im)) 3) (fma.f64 (fma.f64 (log.f64 (fabs.f64 im)) (fma.f64 1/24 (*.f64 (log.f64 (fabs.f64 im)) (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2) (*.f64 im im)) (/.f64 (*.f64 -3 (pow.f64 (/.f64 1 (fabs.f64 im)) 2)) (*.f64 im im)))) (fma.f64 1/24 (*.f64 (log.f64 (fabs.f64 im)) (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2) (*.f64 im im)) (/.f64 (*.f64 -3 (pow.f64 (/.f64 1 (fabs.f64 im)) 2)) (*.f64 im im)))) (/.f64 1/4 (pow.f64 im 4)))) (fma.f64 (*.f64 1/24 (pow.f64 (log.f64 (fabs.f64 im)) 2)) (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2) (*.f64 im im)) (/.f64 (*.f64 -3 (pow.f64 (/.f64 1 (fabs.f64 im)) 2)) (*.f64 im im))) (*.f64 1/2 (/.f64 (log.f64 (fabs.f64 im)) (pow.f64 im 4))))) (pow.f64 re 4) (fma.f64 (fma.f64 1/720 (*.f64 (pow.f64 (log.f64 (fabs.f64 im)) 2) (fma.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2) (pow.f64 im 4)) (*.f64 30 (/.f64 (/.f64 1 (pow.f64 (fabs.f64 im) 3)) (pow.f64 (fabs.f64 im) 3))))) (fma.f64 (log.f64 (fabs.f64 im)) (fma.f64 1/24 (/.f64 (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2) (*.f64 im im)) (/.f64 (*.f64 -3 (pow.f64 (/.f64 1 (fabs.f64 im)) 2)) (*.f64 im im))) (*.f64 im im)) (*.f64 (*.f64 1/360 (log.f64 (fabs.f64 im))) (fma.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2) (pow.f64 im 4)) (*.f64 30 (/.f64 (/.f64 1 (pow.f64 (fabs.f64 im) 3)) (pow.f64 (fabs.f64 im) 3)))))) (fma.f64 1/2 (/.f64 (fma.f64 1/24 (*.f64 (log.f64 (fabs.f64 im)) (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2) (*.f64 im im)) (/.f64 (*.f64 -3 (pow.f64 (/.f64 1 (fabs.f64 im)) 2)) (*.f64 im im)))) (fma.f64 1/24 (*.f64 (log.f64 (fabs.f64 im)) (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2) (*.f64 im im)) (/.f64 (*.f64 -3 (pow.f64 (/.f64 1 (fabs.f64 im)) 2)) (*.f64 im im)))) (/.f64 1/4 (pow.f64 im 4)))) (*.f64 im im)) (/.f64 (*.f64 (*.f64 1/24 (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2) (*.f64 im im)) (/.f64 (*.f64 -3 (pow.f64 (/.f64 1 (fabs.f64 im)) 2)) (*.f64 im im)))) (log.f64 (fabs.f64 im))) (*.f64 im im))))) (pow.f64 re 6) (*.f64 (*.f64 re re) (*.f64 3/2 (/.f64 (pow.f64 (log.f64 (fabs.f64 im)) 2) (*.f64 im im)))))))
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (log.f64 (/.f64 1 re))))
(neg.f64 (pow.f64 (neg.f64 (log.f64 re)) 3))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)) (*.f64 1/2 (*.f64 (pow.f64 im 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 (/.f64 1 re) 2)) (*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (log.f64 (/.f64 1 re)))))
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(pow.f64 (exp.f64 (sqrt.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (sqrt.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))
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(neg.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (neg.f64 (pow.f64 (log.f64 base) 3))))
(neg.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (*.f64 (neg.f64 (log.f64 base)) (pow.f64 (neg.f64 (log.f64 base)) 2))))
(/.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 3)) (pow.f64 (neg.f64 (log.f64 base)) 3))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 6))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) 3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 9))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) 9))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 9) (pow.f64 (log.f64 base) 9)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) 9) (pow.f64 (log.f64 base) 9)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) 3)
(exp.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) 3)
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 9)) 1/3))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 9))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) 9))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3/2)) 2))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -3)) -1))
(/.f64 1 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -3))
(/.f64 1 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) -3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1) 1))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) 3)
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1/3) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) 3)
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1) 3))
(/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) 3)

eval1.8s (3.8%)

Compiler

Compiled 93053 to 62169 computations (33.2% saved)

prune279.0ms (0.6%)

Pruning

32 alts after pruning (29 fresh and 3 done)

PrunedKeptTotal
New1122181140
Fresh51116
Picked101
Done235
Total1130321162
Error
0b
Counts
1162 → 32
Alt Table
Click to see full alt table
StatusErrorProgram
47.4b
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
29.8b
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)
32.1b
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
30.2b
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
1.9b
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 6))
0.7b
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 6)))
31.8b
(/.f64 (*.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))) (pow.f64 (log.f64 base) 2))
15.4b
(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
31.8b
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
✓0.3b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓29.7b
(/.f64 (log.f64 im) (log.f64 base))
▶0.4b
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
0.7b
(-.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)
29.8b
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
1.3b
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3) (log.f64 (hypot.f64 re im)))
0.5b
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
✓0.4b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
29.7b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
▶0.7b
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 (hypot.f64 re im)))
1.0b
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
▶61.5b
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
29.8b
(neg.f64 (*.f64 (/.f64 (log.f64 base) (neg.f64 (pow.f64 (log.f64 base) 2))) (log.f64 im)))
▶29.8b
(neg.f64 (*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))))
1.4b
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
30.3b
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
0.6b
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
29.8b
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
13.9b
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
▶37.4b
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
31.9b
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) 3))
29.9b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
31.6b
(cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 6)))
Compiler

Compiled 778 to 592 computations (23.9% saved)

localize11.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiled 32 to 10 computations (68.8% saved)

series778.0ms (1.7%)

Counts
2 → 64
Calls

18 calls:

TimeVariablePointExpression
217.0ms
base
@-inf
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
205.0ms
base
@-inf
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
179.0ms
im
@-inf
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
74.0ms
im
@-inf
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
46.0ms
re
@inf
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
Compiler

Compiled 87073 to 73500 computations (15.6% saved)

rewrite53.0ms (0.1%)

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
01025
119922
2243022
Stop Event
1×node limit
Counts
2 → 67
Calls
Call 1
Inputs
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(/.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 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 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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 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 -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))))))))

simplify115.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
450×associate-*r*_binary64
403×fma-def_binary64
360×*-commutative_binary64
347×associate-/l*_binary64
331×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05736591
118545231
276425231
Stop Event
1×node limit
Counts
131 → 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 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (+.f64 (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2)))))) (pow.f64 re 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/48 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2))) (*.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 3))))) (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2)))))) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))))) (pow.f64 re 6))) (+.f64 (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2)))))) (pow.f64 re 4))))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 im 2) (pow.f64 (/.f64 1 re) 2))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 im 2) (pow.f64 (/.f64 1 re) 2))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 (pow.f64 im 2) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (log.f64 (/.f64 1 re))))) (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2)))) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 (/.f64 1 re) 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 im 2) (pow.f64 (/.f64 1 re) 2))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 re) 6) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (log.f64 base) (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (pow.f64 im 2))) (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (log.f64 (/.f64 1 re))))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 (pow.f64 im 2) 3)) (*.f64 360 (*.f64 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2) (pow.f64 im 2))))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 im 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 (pow.f64 im 2) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (log.f64 (/.f64 1 re))))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (log.f64 base)) (pow.f64 (log.f64 (/.f64 1 re)) 2))))) (log.f64 (/.f64 1 re)))))))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 (pow.f64 im 2) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (log.f64 (/.f64 1 re))))) (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2)))) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 (/.f64 1 re) 4))))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 (/.f64 -1 re) 2) (pow.f64 im 2))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 (/.f64 -1 re) 2) (pow.f64 im 2))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 re) 4) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2)))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 (pow.f64 im 2) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (log.f64 (/.f64 -1 re))))))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 (pow.f64 im 2) 3)) (*.f64 360 (*.f64 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2) (pow.f64 im 2))))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 (pow.f64 im 2) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (log.f64 (/.f64 -1 re)))))) (pow.f64 im 2)) (log.f64 (/.f64 -1 re)))) (*.f64 1/48 (/.f64 (*.f64 (log.f64 base) (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (pow.f64 im 2))) (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (log.f64 (/.f64 -1 re))))))) (pow.f64 (/.f64 -1 re) 6))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 (/.f64 -1 re) 2) (pow.f64 im 2))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 re) 4) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2)))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 (pow.f64 im 2) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (log.f64 (/.f64 -1 re)))))))))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 re 2))))
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(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 -1 im) 2)) (log.f64 base))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 re 2)) 2)) (*.f64 -3 (pow.f64 (pow.f64 re 2) 2))) (pow.f64 (/.f64 -1 im) 4)) (log.f64 base))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (+.f64 (*.f64 360 (*.f64 (pow.f64 re 2) (pow.f64 (*.f64 1/2 (pow.f64 re 2)) 2))) (*.f64 30 (pow.f64 (pow.f64 re 2) 3))) (pow.f64 (/.f64 -1 im) 6)) (log.f64 base))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(-.f64 (+.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1)
(*.f64 (log.f64 base) (/.f64 1 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1)
(*.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(*.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))
(*.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)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im)))))
(*.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)))))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im)))))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (/.f64 (cbrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) 1) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(*.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)))))
(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 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 1 (/.f64 (log.f64 (hypot.f64 re im)) (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 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 -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 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 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im 2))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (*.f64 im im))))
(/.f64 (log.f64 base) (log.f64 (fabs.f64 im)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im 2)))))
(fma.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 2)) (/.f64 (*.f64 re re) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (*.f64 im im)))))
(fma.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (fabs.f64 im)) 2)) (/.f64 re (/.f64 (*.f64 im im) re))) (/.f64 (log.f64 base) (log.f64 (fabs.f64 im))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (+.f64 (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2)))))) (pow.f64 re 4)))))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 2)) (/.f64 (*.f64 re re) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (*.f64 im im))))) (neg.f64 (*.f64 (fma.f64 1/24 (/.f64 (*.f64 (log.f64 base) (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)) (/.f64 (*.f64 -12 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2)) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 2)) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 2) (*.f64 (log.f64 (sqrt.f64 (*.f64 im im))) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 im im)) 2) 2)))))) (pow.f64 re 4))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (fabs.f64 im)) 2)) (/.f64 re (/.f64 (*.f64 im im) re))) (/.f64 (log.f64 base) (log.f64 (fabs.f64 im)))) (*.f64 (fma.f64 1/24 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (fabs.f64 im)) 2)) (fma.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2) (*.f64 im im)) (/.f64 -3 (/.f64 (*.f64 im im) (pow.f64 (/.f64 1 (fabs.f64 im)) 2))))) (*.f64 (/.f64 -1/4 (pow.f64 (log.f64 (fabs.f64 im)) 3)) (/.f64 (log.f64 base) (pow.f64 im 4)))) (pow.f64 re 4)))
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(/.f64 (log.f64 (hypot.f64 re im)) (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 (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 (neg.f64 (log.f64 base))) (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)) 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))
(*.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))
(fabs.f64 (/.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))

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 7 computations (65% saved)

localize15.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓0.2b
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
0.3b
(/.f64 (log.f64 im) (log.f64 base))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series792.0ms (1.7%)

Counts
2 → 32
Calls

12 calls:

TimeVariablePointExpression
206.0ms
base
@-inf
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
204.0ms
im
@-inf
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
149.0ms
im
@-inf
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
140.0ms
base
@-inf
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
59.0ms
im
@inf
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
Compiler

Compiled 75152 to 64848 computations (13.7% saved)

rewrite47.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
677×pow1_binary64
623×expm1-log1p-u_binary64
622×add-log-exp_binary64
622×log1p-expm1-u_binary64
608×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
113918
2169218
Stop Event
1×node limit
Counts
2 → 59
Calls
Call 1
Inputs
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2) (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 im) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (*.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 im)) (*.f64 (sqrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 im)) (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (log.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 im) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 im)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (log.f64 im))) (neg.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)) (+.f64 1 (*.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)) 1) (+.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))

simplify40.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
566×fma-def_binary64
461×unswap-sqr_binary64
440×associate-/l*_binary64
370×associate-*l/_binary64
359×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0145858
1347858
21389850
Stop Event
1×node limit
Counts
91 → 69
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1))
(log.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1))
(log.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1))
(log.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))))
(log.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1))
(log.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1))
(log.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1))
(log.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 im) (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 (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 (+.f64 1 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
(*.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)
(*.f64 1 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2) (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))
(log.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(+.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) -1)
(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 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))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 im)) 1))
(/.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 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)) (+.f64 1 (*.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)) 1) (+.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1))
(/.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)))
(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))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
Outputs
(log.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (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 (+.f64 1 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 1 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2) (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) 3) 1/3)
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 3)
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 2)
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) 3))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) -1)
(/.f64 (log.f64 im) (log.f64 base))
(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 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 (/.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 (log.f64 im)) 2) (*.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (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))))
(/.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 (log.f64 im) (log.f64 base))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 1 (neg.f64 (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 (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 (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 (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 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (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 (log.f64 im) (log.f64 base))
(*.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 (log.f64 im) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 im)) 1))
(/.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 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (neg.f64 (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 (pow.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)) (+.f64 1 (*.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 3) -1) (fma.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 3)) (fma.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 3)) (+.f64 1 (*.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)) 1) (+.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1))
(/.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))
(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) (log.f64 im)) -1)
(/.f64 (log.f64 im) (log.f64 base))
(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 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))
(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))

localize18.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiled 47 to 21 computations (55.3% saved)

series895.0ms (1.9%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
288.0ms
base
@-inf
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
213.0ms
base
@-inf
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))
192.0ms
im
@-inf
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
189.0ms
im
@-inf
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))
4.0ms
im
@0
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))
Compiler

Compiled 91600 to 80244 computations (12.4% saved)

rewrite52.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
881×pow1_binary64
813×add-log-exp_binary64
812×log1p-expm1-u_binary64
812×expm1-log1p-u_binary64
795×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01029
121127
2266427
Stop Event
1×node limit
Counts
2 → 54
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 (log.f64 base) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 (log.f64 base) 4))) (cbrt.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (*.f64 (cbrt.f64 (log.f64 im)) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)) (/.f64 (sqrt.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)) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 im)) (pow.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -2) (log.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (log.f64 base)) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 im (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (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) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 im (pow.f64 (log.f64 base) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (log.f64 base)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 im) (log.f64 base)) 1) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (log.f64 im)) (log.f64 base)) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 im) (log.f64 base))) (log.f64 base)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 base (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base)))))))))

simplify40.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
701×unswap-sqr_binary64
541×associate-/l*_binary64
469×associate-*l/_binary64
388×associate-*r/_binary64
320×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01441350
1355968
21342915
Stop Event
1×node limit
Counts
78 → 83
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (pow.f64 (log.f64 base) 2)))
(/.f64 (log.f64 im) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (log.f64 im) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (log.f64 im) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (log.f64 im) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (log.f64 (/.f64 1 base)) (log.f64 im)) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (*.f64 (log.f64 (/.f64 1 base)) (log.f64 im)) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (*.f64 (log.f64 (/.f64 1 base)) (log.f64 im)) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 (*.f64 (log.f64 (/.f64 1 base)) (log.f64 im)) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 -1 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im))) (pow.f64 (log.f64 base) 2))
(/.f64 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im))) (pow.f64 (log.f64 base) 2))
(/.f64 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im))) (pow.f64 (log.f64 base) 2))
(/.f64 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im))) (pow.f64 (log.f64 base) 2))
(-.f64 (+.f64 1 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))) 1)
(*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))
(*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)) 1)
(*.f64 1 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))
(*.f64 (cbrt.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))) (cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 (log.f64 base) 4))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 (log.f64 base) 4))) (cbrt.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (*.f64 (cbrt.f64 (log.f64 im)) (pow.f64 (log.f64 base) -2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 im)) (*.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (log.f64 base) -2)))
(*.f64 (neg.f64 (log.f64 im)) (pow.f64 (log.f64 base) -2))
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 im))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (log.f64 base)) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)) 1)
(pow.f64 (pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)) -1)
(neg.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))
(sqrt.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 (log.f64 base) 4)))
(log.f64 (pow.f64 im (pow.f64 (log.f64 base) -2)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (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) -2))))
(log1p.f64 (-.f64 (pow.f64 im (pow.f64 (log.f64 base) -2)) 1))
(exp.f64 (log.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))))
(-.f64 0 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))))
(-.f64 (+.f64 1 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base)))) 1)
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im)))
(/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (*.f64 (log.f64 im) (log.f64 base))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(/.f64 (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (log.f64 base)) (log.f64 base))
(/.f64 (/.f64 (*.f64 (log.f64 im) (log.f64 base)) 1) (pow.f64 (log.f64 base) 2))
(/.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 (neg.f64 (log.f64 im)) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(/.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) (pow.f64 (log.f64 base) 2))
(pow.f64 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))) 1)
(pow.f64 (pow.f64 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base)))) 3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 im) (log.f64 base))) (log.f64 base)) 2)
(neg.f64 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))) 2))
(log.f64 (pow.f64 base (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)) 3) (pow.f64 (log.f64 base) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base)))))
(log1p.f64 (-.f64 (pow.f64 base (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))) 1))
(exp.f64 (log.f64 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base)))))
Outputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))
(/.f64 (log.f64 im) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))
(/.f64 (log.f64 im) (pow.f64 (log.f64 (/.f64 1 base)) 2))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))
(/.f64 (log.f64 im) (pow.f64 (log.f64 (/.f64 1 base)) 2))
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(neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(/.f64 (neg.f64 (log.f64 im)) (log.f64 base))
(/.f64 (log.f64 im) (neg.f64 (log.f64 base)))
(pow.f64 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))) 1)
(+.f64 (+.f64 1 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))) -1)
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) 0)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (pow.f64 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))) -1)
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) 0)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base)))) 3)
(+.f64 (+.f64 1 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))) -1)
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) 0)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 im) (log.f64 base))) (log.f64 base)) 2)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im))) (log.f64 base)) 2)
(neg.f64 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))))
(neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) 2)))
(/.f64 (neg.f64 (log.f64 im)) (log.f64 base))
(/.f64 (log.f64 im) (neg.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))) 2))
(+.f64 (+.f64 1 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))) -1)
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) 0)
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 (pow.f64 base (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))))
(+.f64 (+.f64 1 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))) -1)
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) 0)
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))) 3))
(+.f64 (+.f64 1 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))) -1)
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) 0)
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)) 3)))
(+.f64 (+.f64 1 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))) -1)
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) 0)
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)) 3) (pow.f64 (log.f64 base) 3)))
(+.f64 (+.f64 1 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))) -1)
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) 0)
(/.f64 (log.f64 im) (log.f64 base))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base)))))
(+.f64 (+.f64 1 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))) -1)
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) 0)
(/.f64 (log.f64 im) (log.f64 base))
(log1p.f64 (-.f64 (pow.f64 base (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))) 1))
(log1p.f64 (+.f64 (pow.f64 base (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 base (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))))
(log1p.f64 (+.f64 -1 (pow.f64 base (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2)))))
(exp.f64 (log.f64 (*.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 base)))))
(+.f64 (+.f64 1 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1))) -1)
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) 0)
(/.f64 (log.f64 im) (log.f64 base))

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiled 46 to 25 computations (45.7% saved)

series5.5s (11.8%)

Counts
3 → 48
Calls

15 calls:

TimeVariablePointExpression
3.3s
base
@-inf
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 (hypot.f64 re im)))
1.5s
base
@-inf
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
319.0ms
im
@-inf
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 (hypot.f64 re im)))
261.0ms
base
@-inf
(pow.f64 (/.f64 1 (log.f64 base)) 3)
23.0ms
re
@inf
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 (hypot.f64 re im)))
Compiler

Compiled 145180 to 127370 computations (12.3% saved)

rewrite62.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
496×log-prod_binary64
377×exp-prod_binary64
349×prod-exp_binary64
289×pow-prod-down_binary64
277×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01329
126323
2273023
Stop Event
1×node limit
Counts
3 → 151
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 (log.f64 base)) 3)
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 (hypot.f64 re im)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log.f64 base) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) -3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 base) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) -3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 base) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 base) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (pow.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -2) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -3/2) (pow.f64 (log.f64 base) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 base) -2) 1) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -5/2) (pow.f64 (log.f64 base) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 base) -2) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (log.f64 base) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (log.f64 base) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 base) -2) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (pow.f64 (neg.f64 (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (pow.f64 (log.f64 base) -2)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (log.f64 base) -2) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (log.f64 base) -2) -1) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 base) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 base) -9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -3 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 base)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (log.f64 (log.f64 base))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) -9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3/2 (log.f64 (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 -2 (log.f64 (log.f64 base))) (*.f64 (log.f64 (log.f64 base)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 base)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) -1) (*.f64 -2 (log.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1) (*.f64 -2 (log.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1/3) (*.f64 -2 (log.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -2 (log.f64 (log.f64 base))) (*.f64 (log.f64 (log.f64 base)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -2 (log.f64 (log.f64 base))) (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -2 (log.f64 (log.f64 base))) (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 3/2) (*.f64 -3/2 (log.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -3/2 (log.f64 (log.f64 base))) (*.f64 (neg.f64 (log.f64 (log.f64 base))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 3/2) (*.f64 (neg.f64 (log.f64 (log.f64 base))) 3/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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 (cbrt.f64 (log.f64 base)) -2) (/.f64 1 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 base) -1/2) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 base) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) -6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) -9) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) 2) -1/2)))) (#(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 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 base)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 base)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) -3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (*.f64 -3 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (log.f64 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (log.f64 base)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (log.f64 base))))) (sqrt.f64 (neg.f64 (log.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (log.f64 base)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 base)) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.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)) (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 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base))))) (sqrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (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 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 (*.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 (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 base)) -1) (log.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1) (log.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1/3) (log.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 (log.f64 base))) (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) -1) (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1) (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1/3) (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1) (neg.f64 (log.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (log.f64 (hypot.f64 re im))) (*.f64 (log.f64 (log.f64 base)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1) (*.f64 (log.f64 (log.f64 base)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (log.f64 (hypot.f64 re im))) (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1) (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (log.f64 (hypot.f64 re im))) (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1) (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1/3)))))))

simplify92.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
329×associate-*r*_binary64
291×sqr-pow_binary64
272×associate-*l*_binary64
254×fma-def_binary64
226×associate-/l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05384908
113523187
244002949
Stop Event
1×node limit
Counts
199 → 267
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2)))
(/.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2)))
(/.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2)))
(/.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2)))
(pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)
(pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)
(pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)
(pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)
(*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3))
(*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3))
(*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3))
(*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3))
(*.f64 (cbrt.f64 -1) (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(*.f64 (cbrt.f64 -1) (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(*.f64 (cbrt.f64 -1) (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(*.f64 (cbrt.f64 -1) (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 re 4) (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)))) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (+.f64 (*.f64 1/720 (*.f64 (+.f64 (*.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2))) (*.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 3)))) (*.f64 (pow.f64 re 6) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 re 4) (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)))) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 im 2) (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3) (pow.f64 (/.f64 1 re) 2)))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 im 2) (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3) (pow.f64 (/.f64 1 re) 2)))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (*.f64 (pow.f64 (/.f64 1 re) 4) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 im 2) (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3) (pow.f64 (/.f64 1 re) 2)))) (+.f64 (*.f64 1/720 (*.f64 (pow.f64 (/.f64 1 re) 6) (*.f64 (+.f64 (*.f64 30 (pow.f64 (pow.f64 im 2) 3)) (*.f64 360 (*.f64 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2) (pow.f64 im 2)))) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (*.f64 (pow.f64 (/.f64 1 re) 4) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3))))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 re)) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 -1 re) 2) (*.f64 (pow.f64 im 2) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)))) (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 re)) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3))))
(+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (*.f64 (pow.f64 (/.f64 -1 re) 4) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 -1 re) 2) (*.f64 (pow.f64 im 2) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)))) (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 re)) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)))))
(+.f64 (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (*.f64 (pow.f64 (/.f64 -1 re) 4) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 -1 re) 2) (*.f64 (pow.f64 im 2) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)))) (+.f64 (*.f64 1/720 (*.f64 (pow.f64 (/.f64 -1 re) 6) (*.f64 (+.f64 (*.f64 30 (pow.f64 (pow.f64 im 2) 3)) (*.f64 360 (*.f64 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2) (pow.f64 im 2)))) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)))) (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 re)) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3))))))
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(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) -1) (log.f64 (log.f64 (hypot.f64 re im)))))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1) (log.f64 (log.f64 (hypot.f64 re im)))))
(exp.f64 (+.f64 (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1/3) (log.f64 (log.f64 (hypot.f64 re im)))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (log.f64 base))) (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) -1) (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1)))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1) (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1)))
(exp.f64 (+.f64 (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1/3) (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1) (neg.f64 (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 (log.f64 (log.f64 (hypot.f64 re im))) (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1) (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1)))
(exp.f64 (+.f64 (log.f64 (log.f64 (hypot.f64 re im))) (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1/3)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1) (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1/3)))
Outputs
(/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(pow.f64 (log.f64 base) -3)
(/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(pow.f64 (log.f64 base) -3)
(/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(pow.f64 (log.f64 base) -3)
(/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(pow.f64 (log.f64 base) -3)
(/.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2)))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(pow.f64 (log.f64 base) -3)
(/.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2)))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(pow.f64 (log.f64 base) -3)
(/.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2)))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(pow.f64 (log.f64 base) -3)
(/.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2)))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(pow.f64 (log.f64 base) -3)
(pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3)))
(/.f64 1 (log.f64 base))
(pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3)))
(/.f64 1 (log.f64 base))
(pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3)))
(/.f64 1 (log.f64 base))
(pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3)))
(/.f64 1 (log.f64 base))
(*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 base)) 3))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 -1 (pow.f64 (log.f64 base) 3))))
(*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 base)) 3))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 -1 (pow.f64 (log.f64 base) 3))))
(*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 base)) 3))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 -1 (pow.f64 (log.f64 base) 3))))
(*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 base)) 3))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 -1 (pow.f64 (log.f64 base) 3))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (cbrt.f64 -1) (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 base)) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
(*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 (/.f64 -1 (pow.f64 (log.f64 base) 3))) (log.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (/.f64 -1 (pow.f64 (log.f64 base) 3))) (*.f64 (cbrt.f64 -1) (log.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 -1) (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 base)) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
(*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 (/.f64 -1 (pow.f64 (log.f64 base) 3))) (log.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (/.f64 -1 (pow.f64 (log.f64 base) 3))) (*.f64 (cbrt.f64 -1) (log.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 -1) (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 base)) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
(*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 (/.f64 -1 (pow.f64 (log.f64 base) 3))) (log.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (/.f64 -1 (pow.f64 (log.f64 base) 3))) (*.f64 (cbrt.f64 -1) (log.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 -1) (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (neg.f64 (log.f64 base)) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
(*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 (/.f64 -1 (pow.f64 (log.f64 base) 3))) (log.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (/.f64 -1 (pow.f64 (log.f64 base) 3))) (*.f64 (cbrt.f64 -1) (log.f64 (hypot.f64 re im))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (*.f64 im im))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (fabs.f64 im)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)))
(fma.f64 1/2 (/.f64 (*.f64 re re) (/.f64 (pow.f64 (sqrt.f64 (*.f64 im im)) 2) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (*.f64 im im)))))
(fma.f64 (/.f64 1 (log.f64 base)) (log.f64 (fabs.f64 im)) (*.f64 1/2 (*.f64 (/.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (log.f64 base)))))
(fma.f64 (/.f64 1 (log.f64 base)) (log.f64 im) (/.f64 (*.f64 (*.f64 re (*.f64 re 1/2)) (/.f64 1 (log.f64 base))) (*.f64 im im)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 re 4) (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)))) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (/.f64 (pow.f64 (sqrt.f64 (*.f64 im im)) 2) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))))) (fma.f64 1/24 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)) (/.f64 (*.f64 -12 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2)) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)))) (pow.f64 re 4)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (*.f64 im im))))))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (log.f64 base))) (fma.f64 (/.f64 1 (log.f64 base)) (log.f64 (fabs.f64 im)) (*.f64 1/24 (*.f64 (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 im)) 2) (*.f64 im im)) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2) (*.f64 im im)))) (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 re 4))))))
(fma.f64 1/2 (*.f64 (/.f64 1 (*.f64 im (log.f64 base))) (/.f64 (*.f64 re re) im)) (*.f64 (/.f64 1 (log.f64 base)) (+.f64 (log.f64 im) (*.f64 1/24 (*.f64 (fma.f64 -3 (/.f64 1 (pow.f64 im 4)) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 im) 2) (*.f64 im im)))) (pow.f64 re 4))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (+.f64 (*.f64 1/720 (*.f64 (+.f64 (*.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2))) (*.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 3)))) (*.f64 (pow.f64 re 6) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 re 4) (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)))) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)))))
(fma.f64 1/2 (/.f64 (*.f64 re re) (/.f64 (pow.f64 (sqrt.f64 (*.f64 im im)) 2) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))))) (fma.f64 1/720 (*.f64 (fma.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 im im)) 2) 2)) (*.f64 30 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 im im)) 3)) (pow.f64 (sqrt.f64 (*.f64 im im)) 3)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (pow.f64 re 6))) (fma.f64 1/24 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)) (/.f64 (*.f64 -12 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2)) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)))) (pow.f64 re 4)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (*.f64 im im)))))))
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (log.f64 base))) (fma.f64 1/720 (*.f64 (fma.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2) (pow.f64 im 4)) (/.f64 (/.f64 30 (pow.f64 (fabs.f64 im) 3)) (pow.f64 (fabs.f64 im) 3))) (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 re 6))) (fma.f64 (/.f64 1 (log.f64 base)) (log.f64 (fabs.f64 im)) (*.f64 1/24 (*.f64 (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 im)) 2) (*.f64 im im)) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2) (*.f64 im im)))) (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 re 4)))))))
(fma.f64 1/2 (*.f64 (/.f64 1 (*.f64 im (log.f64 base))) (/.f64 (*.f64 re re) im)) (fma.f64 1/720 (*.f64 (fma.f64 360 (/.f64 (*.f64 1/2 (/.f64 1/2 im)) (pow.f64 im 5)) (/.f64 30 (pow.f64 im 6))) (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 re 6))) (*.f64 (/.f64 1 (log.f64 base)) (+.f64 (log.f64 im) (*.f64 1/24 (*.f64 (fma.f64 -3 (/.f64 1 (pow.f64 im 4)) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 im) 2) (*.f64 im im)))) (pow.f64 re 4)))))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)))
(neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (neg.f64 (log.f64 re))))
(*.f64 (/.f64 1 (log.f64 base)) (neg.f64 (neg.f64 (log.f64 re))))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 re))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 im 2) (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3) (pow.f64 (/.f64 1 re) 2)))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 re)) (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3))))
(fma.f64 1/2 (*.f64 (*.f64 im im) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (pow.f64 (/.f64 1 re) 2))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (neg.f64 (log.f64 re)))))
(fma.f64 (neg.f64 (neg.f64 (log.f64 re))) (/.f64 1 (log.f64 base)) (*.f64 (*.f64 (*.f64 im (*.f64 im 1/2)) (/.f64 1 (log.f64 base))) (pow.f64 (/.f64 1 re) 2)))
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(/.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 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.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 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(exp.f64 (-.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1) (log.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(exp.f64 (-.f64 (log.f64 (log.f64 (hypot.f64 re im))) (*.f64 (log.f64 (log.f64 base)) 1)))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(exp.f64 (-.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1) (*.f64 (log.f64 (log.f64 base)) 1)))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) -1) (log.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1) (log.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(exp.f64 (+.f64 (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1/3) (log.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(exp.f64 (+.f64 (neg.f64 (log.f64 (log.f64 base))) (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1)))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) -1) (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1)))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1) (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1)))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(exp.f64 (+.f64 (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1/3) (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1)))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1) (neg.f64 (log.f64 (log.f64 base)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(exp.f64 (+.f64 (log.f64 (log.f64 (hypot.f64 re im))) (*.f64 (log.f64 (log.f64 base)) -1)))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1) (*.f64 (log.f64 (log.f64 base)) -1)))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(exp.f64 (+.f64 (log.f64 (log.f64 (hypot.f64 re im))) (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1)))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1) (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1)))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(exp.f64 (+.f64 (log.f64 (log.f64 (hypot.f64 re im))) (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1/3)))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1) (*.f64 (*.f64 -3 (log.f64 (log.f64 base))) 1/3)))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 3))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

eval443.0ms (1%)

Compiler

Compiled 21726 to 12791 computations (41.1% saved)

prune261.0ms (0.6%)

Pruning

31 alts after pruning (26 fresh and 5 done)

PrunedKeptTotal
New74713760
Fresh111324
Picked011
Done347
Total76131792
Error
0b
Counts
792 → 31
Alt Table
Click to see full alt table
StatusErrorProgram
▶47.4b
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
32.0b
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)
30.2b
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
0.7b
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 6)))
31.8b
(/.f64 (*.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))) (pow.f64 (log.f64 base) 2))
15.4b
(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
31.8b
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
✓0.3b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
29.9b
(/.f64 (log.f64 (fabs.f64 re)) (log.f64 base))
✓29.7b
(/.f64 (log.f64 im) (log.f64 base))
▶0.4b
(/.f64 1 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1))
31.8b
(/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))))
29.8b
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
0.8b
(/.f64 1 (-.f64 (+.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1))
▶0.8b
(/.f64 1 (+.f64 1 (-.f64 (/.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)))
1.0b
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))))
29.8b
(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1)
0.7b
(-.f64 (+.f64 1 (/.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))
▶37.4b
(*.f64 (/.f64 1 (log.f64 base)) (+.f64 (log.f64 im) (*.f64 (*.f64 re (*.f64 re 1/2)) (/.f64 1 (*.f64 im im)))))
▶29.7b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
31.8b
(*.f64 (log.f64 (/.f64 -1 re)) (/.f64 -1 (log.f64 base)))
✓0.7b
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 (hypot.f64 re im)))
✓61.5b
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
✓29.8b
(neg.f64 (*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))))
30.3b
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
0.6b
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
29.8b
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
31.9b
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) 3))
29.9b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
Compiler

Compiled 743 to 577 computations (22.3% saved)

localize15.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiled 44 to 15 computations (65.9% saved)

series1.2s (2.6%)

Counts
2 → 64
Calls

18 calls:

TimeVariablePointExpression
287.0ms
im
@-inf
(/.f64 1 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1))
264.0ms
base
@-inf
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1)
240.0ms
base
@-inf
(/.f64 1 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1))
164.0ms
im
@-inf
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1)
81.0ms
re
@inf
(/.f64 1 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1))
Compiler

Compiled 120952 to 100841 computations (16.6% saved)

rewrite49.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
992×pow1_binary64
916×add-log-exp_binary64
914×log1p-expm1-u_binary64
914×expm1-log1p-u_binary64
106×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01225
124122
2262422
Stop Event
1×node limit
Counts
2 → 80
Calls
Call 1
Inputs
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1)
(/.f64 1 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 1 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -1) (pow.f64 (/.f64 1 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (/.f64 (cbrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 base)) 1) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.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 base)) 2) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 base)) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 base) 1) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (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 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 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 (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 (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)) (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 (/.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 (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 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 (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))))))))

simplify152.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
523×associate-/l*_binary64
522×fma-def_binary64
487×times-frac_binary64
400×associate-*l/_binary64
400×associate-/r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073510944
125658855
Stop Event
1×node limit
Counts
144 → 244
Calls
Call 1
Inputs
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (+.f64 (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2)))))) (pow.f64 re 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/48 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2))) (*.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 3))))) (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2)))))) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))))) (pow.f64 re 6))) (+.f64 (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2)))))) (pow.f64 re 4))))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 im 2) (pow.f64 (/.f64 1 re) 2))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 im 2) (pow.f64 (/.f64 1 re) 2))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 (pow.f64 im 2) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (log.f64 (/.f64 1 re))))) (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2)))) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 (/.f64 1 re) 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 im 2) (pow.f64 (/.f64 1 re) 2))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 re) 6) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (log.f64 base) (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (pow.f64 im 2))) (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (log.f64 (/.f64 1 re))))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 (pow.f64 im 2) 3)) (*.f64 360 (*.f64 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2) (pow.f64 im 2))))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 im 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 (pow.f64 im 2) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (log.f64 (/.f64 1 re))))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (log.f64 base)) (pow.f64 (log.f64 (/.f64 1 re)) 2))))) (log.f64 (/.f64 1 re)))))))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 (pow.f64 im 2) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (log.f64 (/.f64 1 re))))) (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2)))) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 (/.f64 1 re) 4))))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 (/.f64 -1 re) 2) (pow.f64 im 2))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 (/.f64 -1 re) 2) (pow.f64 im 2))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 re) 4) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2)))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 (pow.f64 im 2) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (log.f64 (/.f64 -1 re))))))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 (pow.f64 im 2) 3)) (*.f64 360 (*.f64 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2) (pow.f64 im 2))))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 (pow.f64 im 2) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (log.f64 (/.f64 -1 re)))))) (pow.f64 im 2)) (log.f64 (/.f64 -1 re)))) (*.f64 1/48 (/.f64 (*.f64 (log.f64 base) (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (pow.f64 im 2))) (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (log.f64 (/.f64 -1 re))))))) (pow.f64 (/.f64 -1 re) 6))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 (/.f64 -1 re) 2) (pow.f64 im 2))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 re) 4) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2)))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 (pow.f64 im 2) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (log.f64 (/.f64 -1 re)))))))))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 re 2))))
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(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -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)
(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 (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 (pow.f64 im 2))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (*.f64 im im))))
(/.f64 (log.f64 base) (log.f64 (fabs.f64 im)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im 2)))))
(fma.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 2)) (/.f64 (*.f64 re re) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (*.f64 im im)))))
(fma.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (fabs.f64 im)) 2)) (/.f64 re (/.f64 (*.f64 im im) re))) (/.f64 (log.f64 base) (log.f64 (fabs.f64 im))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (+.f64 (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2)))))) (pow.f64 re 4)))))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 2)) (/.f64 (*.f64 re re) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (*.f64 im im))))) (neg.f64 (*.f64 (fma.f64 1/24 (/.f64 (*.f64 (log.f64 base) (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 2)) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 2) (*.f64 (log.f64 (sqrt.f64 (*.f64 im im))) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 im im)) 2) 2)))))) (pow.f64 re 4))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (fabs.f64 im)) 2)) (/.f64 re (/.f64 (*.f64 im im) re))) (/.f64 (log.f64 base) (log.f64 (fabs.f64 im)))) (*.f64 (fma.f64 1/24 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (fabs.f64 im)) 2)) (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 im)) 2) (*.f64 im im)) (/.f64 -12 (/.f64 (*.f64 im im) (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2))))) (*.f64 (/.f64 -1/4 (pow.f64 (log.f64 (fabs.f64 im)) 3)) (/.f64 (log.f64 base) (pow.f64 im 4)))) (pow.f64 re 4)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/48 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2))) (*.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 3))))) (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2)))))) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))))) (pow.f64 re 6))) (+.f64 (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2)))))) (pow.f64 re 4))))))
(fma.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 2)) (/.f64 (*.f64 re re) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))) (fma.f64 -1 (*.f64 (fma.f64 -1/48 (/.f64 (log.f64 base) (/.f64 (*.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 2) (*.f64 (log.f64 (sqrt.f64 (*.f64 im im))) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))) (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)))))) (fma.f64 1/720 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 2) (fma.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 im im)) 2) 2)) (*.f64 30 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 im im)) 3)) (pow.f64 (sqrt.f64 (*.f64 im im)) 3)))))) (*.f64 -1/2 (/.f64 (fma.f64 1/24 (/.f64 (*.f64 (log.f64 base) (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 2)) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 2) (*.f64 (log.f64 (sqrt.f64 (*.f64 im im))) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 im im)) 2) 2)))))) (*.f64 (log.f64 (sqrt.f64 (*.f64 im im))) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)))))) (pow.f64 re 6)) (+.f64 (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (*.f64 im im)))) (neg.f64 (*.f64 (fma.f64 1/24 (/.f64 (*.f64 (log.f64 base) (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2)) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (*.f64 im im))) 2) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))))) (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 2)) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 2) (*.f64 (log.f64 (sqrt.f64 (*.f64 im im))) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 im im)) 2) 2)))))) (pow.f64 re 4))))))
(fma.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (fabs.f64 im)) 2)) (/.f64 re (/.f64 (*.f64 im im) re))) (-.f64 (-.f64 (/.f64 (log.f64 base) (log.f64 (fabs.f64 im))) (*.f64 (fma.f64 1/24 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (fabs.f64 im)) 2)) (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 im)) 2) (*.f64 im im)) (/.f64 -12 (/.f64 (*.f64 im im) (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2))))) (*.f64 (/.f64 -1/4 (pow.f64 (log.f64 (fabs.f64 im)) 3)) (/.f64 (log.f64 base) (pow.f64 im 4)))) (pow.f64 re 4))) (*.f64 (fma.f64 -1/48 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (fabs.f64 im)) 3)) (/.f64 (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 im)) 2) (*.f64 im im)) (/.f64 -12 (/.f64 (*.f64 im im) (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2)))) (*.f64 im im))) (fma.f64 -1/2 (/.f64 (fma.f64 1/24 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (fabs.f64 im)) 2)) (fma.f64 -3 (/.f64 (pow.f64 (/.f64 1 (fabs.f64 im)) 2) (*.f64 im im)) (/.f64 -12 (/.f64 (*.f64 im im) (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2))))) (*.f64 (/.f64 -1/4 (pow.f64 (log.f64 (fabs.f64 im)) 3)) (/.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 (*.f64 im im) (log.f64 (fabs.f64 im)))) (*.f64 1/720 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (fabs.f64 im)) 2)) (fma.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (fabs.f64 im)) 2) (pow.f64 im 4)) (*.f64 30 (/.f64 1 (*.f64 (pow.f64 (fabs.f64 im) 3) (pow.f64 (fabs.f64 im) 3))))))))) (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 -1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 im 2) (pow.f64 (/.f64 1 re) 2))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))))
(fma.f64 -1/2 (/.f64 (log.f64 base) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (*.f64 (*.f64 im im) (pow.f64 (/.f64 1 re) 2)))) (/.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 re))))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (log.f64 base) (*.f64 im im)) (pow.f64 (/.f64 1 re) 2)) (*.f64 (log.f64 re) (log.f64 re))) (/.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 re))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 im 2) (pow.f64 (/.f64 1 re) 2))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 (pow.f64 im 2) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (log.f64 (/.f64 1 re))))) (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2)))) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 (/.f64 1 re) 4)))))
(fma.f64 -1/2 (/.f64 (log.f64 base) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (*.f64 (*.f64 im im) (pow.f64 (/.f64 1 re) 2)))) (fma.f64 -1 (/.f64 (log.f64 base) (neg.f64 (log.f64 re))) (neg.f64 (*.f64 (pow.f64 (/.f64 1 re) 4) (fma.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (neg.f64 (log.f64 re)) 3)) (*.f64 1/24 (/.f64 (fma.f64 -3 (pow.f64 im 4) (*.f64 -12 (pow.f64 (*.f64 (*.f64 im im) 1/2) 2))) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (log.f64 base)))))))))
(-.f64 (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (log.f64 base) (*.f64 im im)) (pow.f64 (/.f64 1 re) 2)) (*.f64 (log.f64 re) (log.f64 re))) (/.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 re)))) (*.f64 (pow.f64 (/.f64 1 re) 4) (fma.f64 1/24 (*.f64 (/.f64 (log.f64 base) (*.f64 (log.f64 re) (log.f64 re))) (fma.f64 -12 (*.f64 1/4 (pow.f64 im 4)) (*.f64 -3 (pow.f64 im 4)))) (/.f64 (*.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4))) (pow.f64 (neg.f64 (log.f64 re)) 3)))))
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(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(*.f64 (/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 -1 (neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1)
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 1 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (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 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 (sqrt.f64 (log.f64 base)) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1)
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))))
(/.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 (/.f64 (log.f64 base) 1) (log.f64 (hypot.f64 re im)))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base)))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 (/.f64 1 (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 1 (*.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 1 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) -2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))))
(/.f64 (/.f64 (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 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2))
(fabs.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
(log.f64 (exp.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(exp.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 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))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 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))
(*.f64 -1 (/.f64 1 (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 1 (/.f64 (log.f64 (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))
(*.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 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) -2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))))
(*.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 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) -2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (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 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (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 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (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 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2)) (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) 2)) (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))))
(*.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))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) -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 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.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))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (/.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 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 im re))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
(*.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 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(*.f64 (/.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 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 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))
(pow.f64 (/.f64 (log.f64 base) (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))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(/.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))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)
(/.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))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(/.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))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (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))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2))
(fabs.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (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))
(log.f64 (+.f64 1 (expm1.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))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))
(/.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))
(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 im im) (*.f64 re re)))) (log.f64 base))
(/.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 im im) (*.f64 re re)))) (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 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))

localize11.0ms (0%)

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)

series301.0ms (0.6%)

Counts
1 → 16
Calls

6 calls:

TimeVariablePointExpression
155.0ms
im
@-inf
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
142.0ms
base
@-inf
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
1.0ms
base
@inf
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
1.0ms
im
@inf
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
1.0ms
base
@0
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
Compiler

Compiled 32944 to 28816 computations (12.5% saved)

rewrite41.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

simplify48.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
458×log-div_binary64
418×log-prod_binary64
348×associate-/r/_binary64
268×*-commutative_binary64
235×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074320
1164320
2492320
32508320
47839320
Stop Event
1×node limit
Counts
40 → 26
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) (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 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 (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) (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 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))

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (/.f64 1 (log.f64 base)) (+.f64 (log.f64 im) (*.f64 (*.f64 re (*.f64 re 1/2)) (/.f64 1 (*.f64 im im)))))
0.3b
(/.f64 1 (log.f64 base))
✓0.7b
(/.f64 1 (*.f64 im im))
✓13.4b
(*.f64 (*.f64 re (*.f64 re 1/2)) (/.f64 1 (*.f64 im im)))
Compiler

Compiled 76 to 40 computations (47.4% saved)

series718.0ms (1.5%)

Counts
3 → 64
Calls

18 calls:

TimeVariablePointExpression
397.0ms
base
@-inf
(*.f64 (/.f64 1 (log.f64 base)) (+.f64 (log.f64 im) (*.f64 (*.f64 re (*.f64 re 1/2)) (/.f64 1 (*.f64 im im)))))
294.0ms
im
@-inf
(*.f64 (/.f64 1 (log.f64 base)) (+.f64 (log.f64 im) (*.f64 (*.f64 re (*.f64 re 1/2)) (/.f64 1 (*.f64 im im)))))
5.0ms
re
@0
(*.f64 (/.f64 1 (log.f64 base)) (+.f64 (log.f64 im) (*.f64 (*.f64 re (*.f64 re 1/2)) (/.f64 1 (*.f64 im im)))))
3.0ms
im
@inf
(*.f64 (*.f64 re (*.f64 re 1/2)) (/.f64 1 (*.f64 im im)))
2.0ms
base
@0
(*.f64 (/.f64 1 (log.f64 base)) (+.f64 (log.f64 im) (*.f64 (*.f64 re (*.f64 re 1/2)) (/.f64 1 (*.f64 im im)))))
Compiler

Compiled 57878 to 46931 computations (18.9% saved)

rewrite71.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
862×log-prod_binary64
373×fma-def_binary64
284×expm1-udef_binary64
284×log1p-udef_binary64
251×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01643
134137
2468137
Stop Event
1×node limit
Counts
3 → 141
Calls
Call 1
Inputs
(*.f64 (*.f64 re (*.f64 re 1/2)) (/.f64 1 (*.f64 im im)))
(/.f64 1 (*.f64 im im))
(*.f64 (/.f64 1 (log.f64 base)) (+.f64 (log.f64 im) (*.f64 (*.f64 re (*.f64 re 1/2)) (/.f64 1 (*.f64 im im)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 re (/.f64 (*.f64 im im) (*.f64 re 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 re 1/2) (/.f64 (*.f64 im im) re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 re (*.f64 re 1/2)) (*.f64 im im))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 im im) (*.f64 re (*.f64 re 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 re re) (/.f64 (*.f64 im im) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 re (*.f64 re 1/2))) 2) (/.f64 (*.f64 im im) (cbrt.f64 (*.f64 re (*.f64 re 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 re (sqrt.f64 1/2)) (/.f64 (*.f64 im im) (*.f64 re (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 re (*.f64 re 1/2))) (*.f64 im (neg.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 re (*.f64 re 1/2)) -1) (*.f64 im (neg.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 re (*.f64 re 1/2))) (*.f64 im (neg.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 re (*.f64 re 1/2)) im) im)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 re (*.f64 re 1/2)) 1) (*.f64 im im))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 re (*.f64 re 1/2)) (cbrt.f64 (pow.f64 im 4))) (pow.f64 (cbrt.f64 im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 im) (*.f64 re (*.f64 re 1/2))) im)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 re (*.f64 re 1/2)) (/.f64 1 im)) im)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2)) 1))))))
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simplify91.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
494×associate-/l/_binary64
376×associate-/r/_binary64
243×cancel-sign-sub-inv_binary64
233×associate-*r*_binary64
228×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03954254
110353998
239143849
Stop Event
1×node limit
Counts
205 → 219
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))
(*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))
(*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))
(*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 re) -2) (pow.f64 im 2)))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 re) -2) (pow.f64 im 2)))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 re) -2) (pow.f64 im 2)))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 re) -2) (pow.f64 im 2)))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 re) -2) (pow.f64 im 2)))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 re) -2) (pow.f64 im 2)))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 re) -2) (pow.f64 im 2)))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 re) -2) (pow.f64 im 2)))
(*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 im -2)))
(*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 im -2)))
(*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 im -2)))
(*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 im -2)))
(*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 im) 2)))
(*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 im) 2)))
(*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 im) 2)))
(*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 im) 2)))
(*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 -1 im) 2)))
(*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 -1 im) 2)))
(*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 -1 im) 2)))
(*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 -1 im) 2)))
(pow.f64 im -2)
(pow.f64 im -2)
(pow.f64 im -2)
(pow.f64 im -2)
(pow.f64 (/.f64 1 im) 2)
(pow.f64 (/.f64 1 im) 2)
(pow.f64 (/.f64 1 im) 2)
(pow.f64 (/.f64 1 im) 2)
(pow.f64 (/.f64 -1 im) 2)
(pow.f64 (/.f64 -1 im) 2)
(pow.f64 (/.f64 -1 im) 2)
(pow.f64 (/.f64 -1 im) 2)
(/.f64 (+.f64 (log.f64 im) (*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 im) (*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 im) (*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 im) (*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(*.f64 -1 (/.f64 (+.f64 (log.f64 im) (*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (+.f64 (log.f64 im) (*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (+.f64 (log.f64 im) (*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (+.f64 (log.f64 im) (*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 im -2)) (log.f64 base)))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 im -2)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 im -2)) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 im -2)) (log.f64 base))))
(*.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 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 im) 2)) (log.f64 base))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 im) 2)) (log.f64 base))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 im) 2)) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 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 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 re) -2) (*.f64 (log.f64 base) (pow.f64 im 2))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 re) -2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 re) -2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 re) -2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 re) -2) (*.f64 (log.f64 base) (pow.f64 im 2))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 re) -2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 re) -2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 re) -2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 0 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2))) 1)
(/.f64 re (/.f64 (*.f64 im im) (*.f64 re 1/2)))
(/.f64 (*.f64 re 1/2) (/.f64 (*.f64 im im) re))
(/.f64 (*.f64 re (*.f64 re 1/2)) (*.f64 im im))
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(fma.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base)))
(fma.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (*.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) (pow.f64 (log.f64 base) -1/2)) (*.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) (pow.f64 (log.f64 base) -1/2)) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (*.f64 (pow.f64 (log.f64 base) -1/2) (sqrt.f64 (log.f64 im))) (*.f64 (pow.f64 (log.f64 base) -1/2) (sqrt.f64 (log.f64 im))) (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base)))
(fma.f64 (*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (*.f64 re (sqrt.f64 1/2)) im)) (*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (*.f64 re (sqrt.f64 1/2)) im)) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (*.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (log.f64 base) -1/2)) (*.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (log.f64 base) -1/2)) (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base)))
(fma.f64 (*.f64 (/.f64 1 (log.f64 base)) (*.f64 re (*.f64 re 1/2))) (pow.f64 im -2) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (*.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (*.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (cbrt.f64 (log.f64 im)) (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base)))
(fma.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)) (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base)))
(fma.f64 (*.f64 (/.f64 1 (log.f64 base)) re) (*.f64 re (*.f64 1/2 (pow.f64 im -2))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 im -2)) (*.f64 re (*.f64 re 1/2)) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (*.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) 2))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2)) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (*.f64 (/.f64 1 (log.f64 base)) (/.f64 (*.f64 re (sqrt.f64 1/2)) im)) (/.f64 (*.f64 re (sqrt.f64 1/2)) im) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (*.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))) (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base)))
(fma.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2) (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base)))
Outputs
(*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 re (*.f64 (/.f64 re im) (/.f64 1/2 im)))
(pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2)
(*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 re (*.f64 (/.f64 re im) (/.f64 1/2 im)))
(pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2)
(*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 re (*.f64 (/.f64 re im) (/.f64 1/2 im)))
(pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2)
(*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 re (*.f64 (/.f64 re im) (/.f64 1/2 im)))
(pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2)
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 re) -2) (pow.f64 im 2)))
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 re (*.f64 (/.f64 re im) (/.f64 1/2 im)))
(pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2)
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 re) -2) (pow.f64 im 2)))
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 re (*.f64 (/.f64 re im) (/.f64 1/2 im)))
(pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2)
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 re) -2) (pow.f64 im 2)))
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 re (*.f64 (/.f64 re im) (/.f64 1/2 im)))
(pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2)
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 1 re) -2) (pow.f64 im 2)))
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 re (*.f64 (/.f64 re im) (/.f64 1/2 im)))
(pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2)
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 re) -2) (pow.f64 im 2)))
(/.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 re) -2)) (*.f64 im im))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 re) -2) (*.f64 im im)))
(/.f64 (*.f64 (*.f64 re -1/2) (neg.f64 re)) (*.f64 im im))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 re) -2) (pow.f64 im 2)))
(/.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 re) -2)) (*.f64 im im))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 re) -2) (*.f64 im im)))
(/.f64 (*.f64 (*.f64 re -1/2) (neg.f64 re)) (*.f64 im im))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 re) -2) (pow.f64 im 2)))
(/.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 re) -2)) (*.f64 im im))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 re) -2) (*.f64 im im)))
(/.f64 (*.f64 (*.f64 re -1/2) (neg.f64 re)) (*.f64 im im))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 re) -2) (pow.f64 im 2)))
(/.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 re) -2)) (*.f64 im im))
(*.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 re) -2) (*.f64 im im)))
(/.f64 (*.f64 (*.f64 re -1/2) (neg.f64 re)) (*.f64 im im))
(*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 im -2)))
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 re (*.f64 (/.f64 re im) (/.f64 1/2 im)))
(pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2)
(*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 im -2)))
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 re (*.f64 (/.f64 re im) (/.f64 1/2 im)))
(pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2)
(*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 im -2)))
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 re (*.f64 (/.f64 re im) (/.f64 1/2 im)))
(pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2)
(*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 im -2)))
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 re (*.f64 (/.f64 re im) (/.f64 1/2 im)))
(pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2)
(*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 im) 2)))
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 re (*.f64 (/.f64 re im) (/.f64 1/2 im)))
(pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2)
(*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 im) 2)))
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 re (*.f64 (/.f64 re im) (/.f64 1/2 im)))
(pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2)
(*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 im) 2)))
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 re (*.f64 (/.f64 re im) (/.f64 1/2 im)))
(pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2)
(*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 im) 2)))
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 re (*.f64 (/.f64 re im) (/.f64 1/2 im)))
(pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2)
(*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 -1 im) 2)))
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 re (*.f64 (/.f64 re im) (/.f64 1/2 im)))
(pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2)
(*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 -1 im) 2)))
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 re (*.f64 (/.f64 re im) (/.f64 1/2 im)))
(pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2)
(*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 -1 im) 2)))
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 re (*.f64 (/.f64 re im) (/.f64 1/2 im)))
(pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2)
(*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 -1 im) 2)))
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 re (*.f64 (/.f64 re im) (/.f64 1/2 im)))
(pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2)
(pow.f64 im -2)
(pow.f64 im -2)
(pow.f64 im -2)
(pow.f64 im -2)
(pow.f64 (/.f64 1 im) 2)
(pow.f64 im -2)
(pow.f64 (/.f64 1 im) 2)
(pow.f64 im -2)
(pow.f64 (/.f64 1 im) 2)
(pow.f64 im -2)
(pow.f64 (/.f64 1 im) 2)
(pow.f64 im -2)
(pow.f64 (/.f64 -1 im) 2)
(pow.f64 im -2)
(pow.f64 (/.f64 -1 im) 2)
(pow.f64 im -2)
(pow.f64 (/.f64 -1 im) 2)
(pow.f64 im -2)
(pow.f64 (/.f64 -1 im) 2)
(pow.f64 im -2)
(/.f64 (+.f64 (log.f64 im) (*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(/.f64 (+.f64 (log.f64 im) (*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(/.f64 (+.f64 (log.f64 im) (*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(/.f64 (+.f64 (log.f64 im) (*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(*.f64 -1 (/.f64 (+.f64 (log.f64 im) (*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(*.f64 -1 (/.f64 (+.f64 (log.f64 im) (*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(*.f64 -1 (/.f64 (+.f64 (log.f64 im) (*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(*.f64 -1 (/.f64 (+.f64 (log.f64 im) (*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 im -2)) (log.f64 base)))
(/.f64 (*.f64 (*.f64 1/2 (*.f64 re re)) (pow.f64 im -2)) (log.f64 base))
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))))
(/.f64 (pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 im -2)) (log.f64 base))))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 im -2)) (log.f64 base))))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 im -2)) (log.f64 base))))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 im) 2)) (log.f64 base))))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 im) 2)) (log.f64 base))))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (pow.f64 (/.f64 1 im) 2)) (log.f64 base))))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
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(fma.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (*.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))) (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base)))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (log.f64 im)) (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (log.f64 im) (/.f64 1 (cbrt.f64 (log.f64 base)))) (/.f64 (pow.f64 (/.f64 re (/.f64 im (sqrt.f64 1/2))) 2) (log.f64 base)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (/.f64 (pow.f64 (/.f64 re (/.f64 im (sqrt.f64 1/2))) 2) (log.f64 base)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (/.f64 (pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2) (log.f64 base)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2)) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (pow.f64 (/.f64 re (/.f64 im (sqrt.f64 1/2))) 2) (/.f64 1 (cbrt.f64 (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 (pow.f64 (/.f64 re (/.f64 im (sqrt.f64 1/2))) 2) (cbrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 (pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2) (cbrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) 2)) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2)) (/.f64 1 (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 re (/.f64 im (sqrt.f64 1/2))) 2) 2)) (*.f64 (cbrt.f64 (pow.f64 (/.f64 re (/.f64 im (sqrt.f64 1/2))) 2)) (/.f64 1 (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 re (/.f64 im (sqrt.f64 1/2))) 4)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 re (/.f64 im (sqrt.f64 1/2))) 2)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 4)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (sqrt.f64 (log.f64 im)) (*.f64 (sqrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))) (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base)))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(fma.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (pow.f64 (log.f64 base) -1/2) (log.f64 im)) (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base)))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(fma.f64 (pow.f64 (log.f64 base) -1/2) (*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2)) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(fma.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) (*.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) (/.f64 1 (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(fma.f64 (/.f64 (log.f64 im) (log.f64 base)) 1 (*.f64 (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base)) 1))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base)))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base)))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(fma.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base)))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(fma.f64 (sqrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(fma.f64 (*.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) (pow.f64 (log.f64 base) -1/2)) (*.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) (pow.f64 (log.f64 base) -1/2)) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(fma.f64 (*.f64 (pow.f64 (log.f64 base) -1/2) (sqrt.f64 (log.f64 im))) (*.f64 (pow.f64 (log.f64 base) -1/2) (sqrt.f64 (log.f64 im))) (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base)))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(fma.f64 (*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (*.f64 re (sqrt.f64 1/2)) im)) (*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (*.f64 re (sqrt.f64 1/2)) im)) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(fma.f64 (*.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (log.f64 base) -1/2)) (*.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (log.f64 base) -1/2)) (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base)))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(fma.f64 (*.f64 (/.f64 1 (log.f64 base)) (*.f64 re (*.f64 re 1/2))) (pow.f64 im -2) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(fma.f64 (*.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (pow.f64 (/.f64 re (/.f64 im (sqrt.f64 1/2))) 2) (/.f64 1 (cbrt.f64 (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 (pow.f64 (/.f64 re (/.f64 im (sqrt.f64 1/2))) 2) (cbrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 (pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2) (cbrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (*.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(fma.f64 (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (cbrt.f64 (log.f64 im)) (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base)))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(fma.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)) (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base)))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(fma.f64 (*.f64 (/.f64 1 (log.f64 base)) re) (*.f64 re (*.f64 1/2 (pow.f64 im -2))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(fma.f64 (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 im -2)) (*.f64 re (*.f64 re 1/2)) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(fma.f64 (*.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) 2))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2)) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 re (/.f64 im (sqrt.f64 1/2))) 2) 2)) (*.f64 (cbrt.f64 (pow.f64 (/.f64 re (/.f64 im (sqrt.f64 1/2))) 2)) (/.f64 1 (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 re (/.f64 im (sqrt.f64 1/2))) 4)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 re (/.f64 im (sqrt.f64 1/2))) 2)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 4)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (*.f64 (/.f64 1 (log.f64 base)) (/.f64 (*.f64 re (sqrt.f64 1/2)) im)) (/.f64 (*.f64 re (sqrt.f64 1/2)) im) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))
(fma.f64 (*.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (cbrt.f64 (log.f64 base))) (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (*.f64 (log.f64 im) (/.f64 1 (cbrt.f64 (log.f64 base)))) (/.f64 (pow.f64 (/.f64 re (/.f64 im (sqrt.f64 1/2))) 2) (log.f64 base)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (/.f64 (pow.f64 (/.f64 re (/.f64 im (sqrt.f64 1/2))) 2) (log.f64 base)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (/.f64 (pow.f64 (*.f64 (/.f64 re im) (sqrt.f64 1/2)) 2) (log.f64 base)))
(fma.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -1/2)) (pow.f64 (log.f64 base) -1/2) (/.f64 (pow.f64 (/.f64 (*.f64 re (sqrt.f64 1/2)) im) 2) (log.f64 base)))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 re re) (pow.f64 im -2)) (log.f64 im)) (log.f64 base))
(/.f64 (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im)) (log.f64 im)) (log.f64 base))

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 1 (+.f64 1 (-.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1)))
0.3b
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
✓0.3b
(-.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1)
✓0.6b
(+.f64 1 (-.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1))
Compiler

Compiled 56 to 20 computations (64.3% saved)

series1.7s (3.6%)

Counts
3 → 96
Calls

27 calls:

TimeVariablePointExpression
377.0ms
base
@-inf
(-.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1)
358.0ms
base
@-inf
(+.f64 1 (-.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1))
254.0ms
im
@-inf
(-.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1)
224.0ms
base
@-inf
(/.f64 1 (+.f64 1 (-.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1)))
168.0ms
im
@-inf
(+.f64 1 (-.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1))
Compiler

Compiled 150752 to 127037 computations (15.7% saved)

rewrite70.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
596×prod-diff_binary64
540×log-prod_binary64
300×pow2_binary64
281×fma-def_binary64
215×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01251
125836
2356436
Stop Event
1×node limit
Counts
3 → 200
Calls
Call 1
Inputs
(+.f64 1 (-.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1))
(-.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1)
(/.f64 1 (+.f64 1 (-.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1)))
Outputs
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(#(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 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(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 exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))))))

simplify219.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
623×fma-def_binary64
515×associate-/l*_binary64
441×times-frac_binary64
351×associate-/r*_binary64
258×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
087414001
1272111362
Stop Event
1×node limit
Counts
296 → 465
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 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (+.f64 (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2)))))) (pow.f64 re 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/48 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 360 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2))) (*.f64 30 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 3) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 3))))) (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2)))))) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))))) (pow.f64 re 6))) (+.f64 (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))) (*.f64 -12 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2))))) (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (*.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2) 2)))))) (pow.f64 re 4))))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 im 2) (pow.f64 (/.f64 1 re) 2))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 im 2) (pow.f64 (/.f64 1 re) 2))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 (pow.f64 im 2) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (log.f64 (/.f64 1 re))))) (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2)))) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 (/.f64 1 re) 4)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 im 2) (pow.f64 (/.f64 1 re) 2))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 re) 6) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (log.f64 base) (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (pow.f64 im 2))) (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (log.f64 (/.f64 1 re))))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 (pow.f64 im 2) 3)) (*.f64 360 (*.f64 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2) (pow.f64 im 2))))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 im 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 (pow.f64 im 2) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (log.f64 (/.f64 1 re))))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (log.f64 base)) (pow.f64 (log.f64 (/.f64 1 re)) 2))))) (log.f64 (/.f64 1 re)))))))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 (pow.f64 im 2) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 1 re)) 2) (log.f64 (/.f64 1 re))))) (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2)))) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 (/.f64 1 re) 4))))))
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 (/.f64 -1 re) 2) (pow.f64 im 2))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 (/.f64 -1 re) 2) (pow.f64 im 2))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 re) 4) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2)))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 (pow.f64 im 2) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (log.f64 (/.f64 -1 re))))))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 (pow.f64 im 2) 3)) (*.f64 360 (*.f64 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2) (pow.f64 im 2))))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/24 (/.f64 (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (log.f64 base)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 (pow.f64 im 2) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (log.f64 (/.f64 -1 re)))))) (pow.f64 im 2)) (log.f64 (/.f64 -1 re)))) (*.f64 1/48 (/.f64 (*.f64 (log.f64 base) (*.f64 (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2))) (pow.f64 im 2))) (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (log.f64 (/.f64 -1 re))))))) (pow.f64 (/.f64 -1 re) 6))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 (pow.f64 (/.f64 -1 re) 2) (pow.f64 im 2))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 -1 re) 4) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 -3 (pow.f64 (pow.f64 im 2) 2)) (*.f64 -12 (pow.f64 (*.f64 1/2 (pow.f64 im 2)) 2)))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 (pow.f64 im 2) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 2) (log.f64 (/.f64 -1 re)))))))))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 re 2))))
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(fma.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)))) 0)
(fma.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)))) 0)
(fma.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)))) 0)
(fma.f64 (/.f64 1 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))) 0)
(fma.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)))) 0)
(fma.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)))) 1) 1)
(+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(+.f64 0 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1))
(+.f64 -1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))) (E.f64))) 2)) (log.f64 (cbrt.f64 (/.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))) (E.f64)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))) (E.f64)))) (log.f64 (sqrt.f64 (/.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))) (E.f64)))))
(*.f64 1 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1))
(*.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)) (sqrt.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)))
(*.f64 (+.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2) (+.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2) -1) (/.f64 1 (+.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))
(*.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)))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2) (+.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) (+.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (+.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) -1) (+.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2) (+.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) -1) (+.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2) (-.f64 1 (*.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2) -1) (+.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2) (+.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2) -1)) (neg.f64 (+.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))
(pow.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)) 2)
(pow.f64 (pow.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) 3) 1/3)
(pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2) (+.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) (+.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) -1)) -1)
(pow.f64 (/.f64 (+.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (+.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2) -1)) -1)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) 2))
(log.f64 (/.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))) (E.f64)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) 3))
(expm1.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(expm1.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)) 1))
(fma.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(fma.f64 (log.f64 base) (/.f64 1 (log.f64 (hypot.f64 re im))) -1)
(fma.f64 (log.f64 base) (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 1) -1)
(fma.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1 -1)
(fma.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) -1)
(fma.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)))) -1)
(fma.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)))) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im)))) -1)
(fma.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)))) -1)
(fma.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)))) 1) -1)
(fma.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im)))) -1)
(fma.f64 (neg.f64 (log.f64 base)) (/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) 3)) (/.f64 1 (fma.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) (-.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) 1) 1)) -1)
(fma.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base) -1)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) 2)) (/.f64 1 (+.f64 (-.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1)) -1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (/.f64 (cbrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))) -1)
(fma.f64 (/.f64 (sqrt.f64 (log.f64 base)) 1) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))) -1)
(fma.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)))) -1)
(fma.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)))) -1)
(fma.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)))) -1)
(fma.f64 (/.f64 1 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))) -1)
(fma.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)))) -1)
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))
(-.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 (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 (neg.f64 (/.f64 (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)) (/.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 (+.f64 1 (pow.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) 3))) (fma.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) (-.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) 1) 1))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (+.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) 2))) (+.f64 (-.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(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)
(pow.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)) 1/3)
(pow.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) -1)
(pow.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (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))))
(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))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))
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 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im 2))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (*.f64 im im))))
(/.f64 (log.f64 base) (log.f64 (fabs.f64 im)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (sqrt.f64 (pow.f64 im 2))) 2) (pow.f64 (sqrt.f64 (pow.f64 im 2)) 2)))) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (pow.f64 im 2)))))
(fma.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 (sqrt.f64 (*.f64 im im))) 2)) (/.f64 (*.f64 re re) (pow.f64 (sqrt.f64 (*.f64 im im)) 2))) (/.f64 (log.f64 base) (log.f64 (sqrt.f64 (*.f64 im im)))))
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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))
(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))
(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 (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))

localize14.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
0.3b
(/.f64 (log.f64 im) (log.f64 base))
✓0.6b
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
Compiler

Compiled 32 to 14 computations (56.3% saved)

series6.4s (13.8%)

Counts
2 → 32
Calls

12 calls:

TimeVariablePointExpression
2.8s
im
@-inf
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
2.8s
base
@-inf
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
381.0ms
base
@-inf
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
358.0ms
im
@-inf
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
4.0ms
im
@0
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
Compiler

Compiled 140176 to 119472 computations (14.8% saved)

rewrite48.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
867×pow1_binary64
815×add-log-exp_binary64
815×log1p-expm1-u_binary64
815×expm1-log1p-u_binary64
795×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
121919
2231319
Stop Event
1×node limit
Counts
2 → 74
Calls
Call 1
Inputs
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 im) (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 im) 3) (/.f64 1 (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) 3) (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3) (pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (log.f64 im)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) 1) (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (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 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 im) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (/.f64 (log.f64 base) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (neg.f64 (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (log.f64 im) 3)) (neg.f64 (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (log.f64 im)) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (log.f64 im)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) 1) (/.f64 (log.f64 base) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (neg.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)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 im) (/.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 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) 1/3))))) (#(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 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) 1/3) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 im) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 im)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (log.f64 im))) (neg.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))

simplify47.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
618×unswap-sqr_binary64
300×fma-def_binary64
245×cube-prod_binary64
206×distribute-lft-neg-in_binary64
202×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01881160
14701136
219111136
Stop Event
1×node limit
Counts
106 → 87
Calls
Call 1
Inputs
(/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (log.f64 (/.f64 1 im))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (log.f64 (/.f64 1 im))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (log.f64 (/.f64 1 im))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (log.f64 (/.f64 1 im))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))
(/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 im) 2) (log.f64 im)) (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))))
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 im) 2) (log.f64 im)) (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))))
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 im) 2) (log.f64 im)) (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))))
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 im) 2) (log.f64 im)) (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))))
(pow.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)
(pow.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)
(pow.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)
(pow.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)
(*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (log.f64 (/.f64 1 im))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (log.f64 (/.f64 1 im))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (log.f64 (/.f64 1 im))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (log.f64 (/.f64 1 im))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3) (cbrt.f64 -1))
(pow.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)
(pow.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)
(pow.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)
(pow.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)
(*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (log.f64 im) 2) (log.f64 im)) (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (log.f64 im) 2) (log.f64 im)) (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (log.f64 im) 2) (log.f64 im)) (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (log.f64 im) 2) (log.f64 im)) (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3) (cbrt.f64 -1))
(-.f64 (+.f64 1 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) 1)
(*.f64 (log.f64 im) (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))
(*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1)
(*.f64 1 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(*.f64 (pow.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) (*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)))
(*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3))
(*.f64 (pow.f64 (log.f64 im) 3) (/.f64 1 (pow.f64 (log.f64 base) 3)))
(*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) 3) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3) (pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (log.f64 im)) (/.f64 1 (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) 1) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 1 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 im) 3)))
(/.f64 1 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 3))
(/.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (neg.f64 (log.f64 base)) 3))
(/.f64 (neg.f64 (pow.f64 (log.f64 im) 3)) (neg.f64 (pow.f64 (log.f64 base) 3)))
(/.f64 (*.f64 (log.f64 im) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) (log.f64 base))
(/.f64 (*.f64 (neg.f64 (log.f64 im)) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (log.f64 im)) (log.f64 base))
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) 1) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (neg.f64 (log.f64 im))) (neg.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 im) (log.f64 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 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) 1/3))
(*.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 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) 1/3) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2) 1/3))
(*.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))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 im)) 1))
(/.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 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (neg.f64 (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)))
(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 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (log.f64 (/.f64 1 im))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (log.f64 (/.f64 1 im))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (log.f64 (/.f64 1 im))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (log.f64 (/.f64 1 im))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 im) 2) (log.f64 im)) (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 im) 2) (log.f64 im)) (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 im) 2) (log.f64 im)) (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (log.f64 im) 2) (log.f64 im)) (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(pow.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (log.f64 (/.f64 1 im))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3))) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))) 3)))
(*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (log.f64 (/.f64 1 im))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3))) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))) 3)))
(*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (log.f64 (/.f64 1 im))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3))) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))) 3)))
(*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (log.f64 (/.f64 1 im))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3))) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))) 3)))
(pow.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 im) 2)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) 1/3)
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (log.f64 im) 2) (log.f64 im)) (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3))) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))) 3)))
(*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (log.f64 im) 2) (log.f64 im)) (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3))) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))) 3)))
(*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (log.f64 im) 2) (log.f64 im)) (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3))) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))) 3)))
(*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (log.f64 im) 2) (log.f64 im)) (*.f64 (log.f64 (/.f64 1 base)) (pow.f64 (log.f64 (/.f64 1 base)) 2))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (log.f64 base) 3))) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))) 3)))
(-.f64 (+.f64 1 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) 1)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 (log.f64 im) (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1)
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 1 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 (pow.f64 (log.f64 im) 3) (/.f64 1 (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) 3) (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3) (pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (log.f64 im)) (/.f64 1 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) 1) (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(/.f64 1 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 im) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(/.f64 1 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 3))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(/.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (/.f64 (log.f64 base) (log.f64 im)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(/.f64 (pow.f64 (neg.f64 (log.f64 im)) 3) (pow.f64 (neg.f64 (log.f64 base)) 3))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(/.f64 (neg.f64 (pow.f64 (log.f64 im) 3)) (neg.f64 (pow.f64 (log.f64 base) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(/.f64 (*.f64 (log.f64 im) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) (log.f64 base))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(/.f64 (*.f64 (neg.f64 (log.f64 im)) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) (neg.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (log.f64 im)) (log.f64 base))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) 1) (/.f64 (log.f64 base) (log.f64 im)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) (neg.f64 (log.f64 im))) (neg.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 6))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 3))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(exp.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)
(-.f64 (+.f64 1 (/.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 (/.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 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) 1/3))
(/.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 (log.f64 im)) 2) (*.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (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))))
(/.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 (log.f64 im) (log.f64 base))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 1 (neg.f64 (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 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2) 1/3) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2)) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3/2)))
(*.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 (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 (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 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (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 (log.f64 im) (log.f64 base))
(*.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 (log.f64 im) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 im)) 1))
(/.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 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (neg.f64 (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))
(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 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))
(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))

eval1.1s (2.5%)

Compiler

Compiled 60570 to 37085 computations (38.8% saved)

prune393.0ms (0.8%)

Pruning

38 alts after pruning (32 fresh and 6 done)

PrunedKeptTotal
New1347121359
Fresh12021
Picked101
Done369
Total1352381390
Error
0b
Counts
1390 → 38
Alt Table
Click to see full alt table
StatusErrorProgram
32.0b
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)
30.2b
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
62.9b
(/.f64 (/.f64 (*.f64 (*.f64 re -1/2) (neg.f64 re)) (*.f64 im im)) (log.f64 base))
36.3b
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
0.7b
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 6)))
31.8b
(/.f64 (*.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))) (pow.f64 (log.f64 base) 2))
31.8b
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
✓0.3b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
29.9b
(/.f64 (log.f64 (fabs.f64 re)) (log.f64 base))
✓29.7b
(/.f64 (log.f64 im) (log.f64 base))
29.7b
(/.f64 1 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) -1))
0.5b
(/.f64 1 (/.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
31.8b
(/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))))
29.8b
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
0.4b
(/.f64 1 (/.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
0.8b
(/.f64 1 (-.f64 (+.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1))
30.0b
(/.f64 1 (+.f64 1 (-.f64 (/.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 im))) 1)))
32.0b
(/.f64 1 (+.f64 1 (-.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))) 1)))
1.2b
(/.f64 1 (+.f64 1 (log.f64 (/.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))) (E.f64)))))
0.5b
(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)))
1.0b
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))))
29.8b
(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1)
0.7b
(-.f64 (+.f64 1 (/.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))
47.4b
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (log.f64 im))
✓29.7b
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
32.3b
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1) (log.f64 im))
31.8b
(*.f64 (log.f64 (/.f64 -1 re)) (/.f64 -1 (log.f64 base)))
47.5b
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im))
✓0.7b
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 (hypot.f64 re im)))
62.9b
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))))
✓61.5b
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
✓29.8b
(neg.f64 (*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))))
30.3b
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
0.6b
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
29.8b
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
31.9b
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) 3))
29.9b
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
Compiler

Compiled 497 to 392 computations (21.1% saved)

regimes152.0ms (0.3%)

Counts
67 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))))
(/.f64 (/.f64 (*.f64 (*.f64 re -1/2) (neg.f64 re)) (*.f64 im im)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(*.f64 (log.f64 (/.f64 -1 re)) (/.f64 -1 (log.f64 base)))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1)
(/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))))
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1) (log.f64 im))
(/.f64 1 (+.f64 1 (-.f64 (/.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 im))) 1)))
(/.f64 1 (+.f64 1 (-.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))) 1)))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (+.f64 (log.f64 im) (*.f64 (*.f64 re (*.f64 re 1/2)) (/.f64 1 (*.f64 im im)))))
(/.f64 (log.f64 (fabs.f64 re)) (log.f64 base))
(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)
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 1 (pow.f64 (/.f64 (log.f64 im) (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 1 (/.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 1 (+.f64 1 (-.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1))
(/.f64 1 (/.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (log.f64 im))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) 3))
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))))
(/.f64 1 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) -1))
(neg.f64 (*.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) 2))))
(neg.f64 (*.f64 (/.f64 (log.f64 base) (neg.f64 (pow.f64 (log.f64 base) 2))) (log.f64 im)))
(neg.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im)))))
(/.f64 (*.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base))) (pow.f64 (log.f64 base) 2))
(/.f64 (*.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))) (pow.f64 (log.f64 base) 2))
(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 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3) (log.f64 (hypot.f64 re im)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 1 (+.f64 1 (log.f64 (/.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))) (E.f64)))))
(cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 6)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 6)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 6))
(/.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 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 (log.f64 (hypot.f64 im re)) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))
(pow.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) (pow.f64 (log.f64 base) 6)) 1/3)
Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Calls

5 calls:

30.0ms
(log.f64 base)
28.0ms
base
28.0ms
re
28.0ms
im
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
0.3b1re
0.3b1im
0.3b1base
0.3b1(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
0.3b1(log.f64 base)
Compiler

Compiled 778 to 356 computations (54.2% saved)

regimes268.0ms (0.6%)

Counts
18 → 2
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))))
(/.f64 (/.f64 (*.f64 (*.f64 re -1/2) (neg.f64 re)) (*.f64 im im)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(*.f64 (log.f64 (/.f64 -1 re)) (/.f64 -1 (log.f64 base)))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1)
(/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))))
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1) (log.f64 im))
(/.f64 1 (+.f64 1 (-.f64 (/.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 im))) 1)))
(/.f64 1 (+.f64 1 (-.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))) 1)))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (+.f64 (log.f64 im) (*.f64 (*.f64 re (*.f64 re 1/2)) (/.f64 1 (*.f64 im im)))))
(/.f64 (log.f64 (fabs.f64 re)) (log.f64 base))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
Outputs
(/.f64 (log.f64 (fabs.f64 re)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
Calls

4 calls:

134.0ms
base
88.0ms
(log.f64 base)
24.0ms
im
17.0ms
re
Results
ErrorSegmentsBranch
7.0b2re
9.0b2im
18.3b10base
18.3b10(log.f64 base)
Compiler

Compiled 200 to 112 computations (44% saved)

bsearch25.0ms (0.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
25.0ms
-2.0388522240324104e-81
-1.8064558562905054e-85
Results
24.0ms128×body256valid
Compiler

Compiled 189 to 145 computations (23.3% saved)

regimes321.0ms (0.7%)

Counts
16 → 2
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))))
(/.f64 (/.f64 (*.f64 (*.f64 re -1/2) (neg.f64 re)) (*.f64 im im)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(*.f64 (log.f64 (/.f64 -1 re)) (/.f64 -1 (log.f64 base)))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)
(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) 1)
(/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))))
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1) (log.f64 im))
(/.f64 1 (+.f64 1 (-.f64 (/.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 im))) 1)))
(/.f64 1 (+.f64 1 (-.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))) 1)))
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im im))) (log.f64 im)) (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (+.f64 (log.f64 im) (*.f64 (*.f64 re (*.f64 re 1/2)) (/.f64 1 (*.f64 im im)))))
Outputs
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
Calls

4 calls:

162.0ms
(log.f64 base)
77.0ms
base
62.0ms
im
16.0ms
re
Results
ErrorSegmentsBranch
7.0b2re
9.4b2im
18.7b11base
18.7b11(log.f64 base)
Compiler

Compiled 187 to 105 computations (43.9% saved)

bsearch26.0ms (0.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
26.0ms
-2.0388522240324104e-81
-1.8064558562905054e-85
Results
24.0ms128×body256valid
Compiler

Compiled 205 to 161 computations (21.5% saved)

regimes21.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))))
(/.f64 (/.f64 (*.f64 (*.f64 re -1/2) (neg.f64 re)) (*.f64 im im)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im))
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))
Outputs
(/.f64 (log.f64 im) (log.f64 base))
Calls

4 calls:

6.0ms
base
4.0ms
(log.f64 base)
4.0ms
im
4.0ms
re
Results
ErrorSegmentsBranch
29.7b1re
29.7b1im
29.7b1base
29.7b1(log.f64 base)
Compiler

Compiled 70 to 39 computations (44.3% saved)

regimes38.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

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

4 calls:

28.0ms
im
3.0ms
re
3.0ms
(log.f64 base)
3.0ms
base
Results
ErrorSegmentsBranch
62.9b1re
62.9b1im
62.9b1base
62.9b1(log.f64 base)
Compiler

Compiled 45 to 30 computations (33.3% saved)

simplify5.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03188
13988
24388
34688
44788
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(if (<=.f64 re -1640438043587259/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (/.f64 (log.f64 (fabs.f64 re)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(if (<=.f64 re -640796110776273/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))))
Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(if (<=.f64 re -1640438043587259/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) (/.f64 (log.f64 (fabs.f64 re)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(if (<=.f64 re -640796110776273/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))))
Compiler

Compiled 71 to 49 computations (31% saved)

soundness143.0ms (0.3%)

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)

end37.0ms (0.1%)

Remove

(sort re im)

Compiler

Compiled 79 to 43 computations (45.6% saved)

Profiling

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