math.log/2 on complex, real part

Time bar (total: 11.9s)

analyze255.0ms (2.1%)

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%49.9%0.1%0%49.9%0%4
0%0%49.9%0.1%0%49.9%0%5
0%0%49.9%0.1%0%49.9%0%6
9.4%4.7%45.2%0.1%0%49.9%0%7
17.2%8.6%41.3%0.1%0%49.9%0%8
27.3%13.7%36.3%0.1%0%49.9%0%9
41%20.5%29.4%0.1%0%49.9%0%10
48.6%24.3%25.6%0.1%0%49.9%0%11
57.1%28.5%21.4%0.1%0%49.9%0%12
Compiler

Compiled 32 to 19 computations (40.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 164.0ms
ival-log: 69.0ms (42% of total)
ival-mult: 48.0ms (29.2% of total)
ival-add: 18.0ms (10.9% of total)
ival-atan2: 12.0ms (7.3% of total)
ival-sqrt: 10.0ms (6.1% of total)
ival-div: 6.0ms (3.6% of total)
const: 1.0ms (0.6% of total)
backward-pass: 0.0ms (0% of total)

sample1.9s (15.9%)

Results
1.6s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-mult: 448.0ms (35.2% of total)
ival-add: 395.0ms (31% of total)
ival-log: 206.0ms (16.2% of total)
ival-sqrt: 75.0ms (5.9% of total)
ival-atan2: 68.0ms (5.3% of total)
ival-div: 67.0ms (5.3% of total)
const: 12.0ms (0.9% of total)
backward-pass: 2.0ms (0.2% of total)
Bogosity

preprocess99.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
584×times-frac
512×fma-neg
490×associate-*r/
437×distribute-rgt-neg-out
435×associate-*l/
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
086674
1185652
2306652
3568398
41055350
51803350
65717350
Stop Event
1×node limit
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) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im (neg.f64 re)) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))) (log.f64 base)) (*.f64 (atan2.f64 (neg.f64 im) re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 (neg.f64 base))) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(neg.f64 (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im (neg.f64 re)) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(neg.f64 (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))) (log.f64 base)) (*.f64 (atan2.f64 (neg.f64 im) re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(neg.f64 (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 (neg.f64 base))) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) (*.f64 (atan2.f64 re im) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 base base) (*.f64 im im)))) (log.f64 re)) (*.f64 (atan2.f64 im base) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 re) (log.f64 re)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 base base)))) (log.f64 im)) (*.f64 (atan2.f64 base re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Outputs
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im (neg.f64 re)) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))) (log.f64 base)) (*.f64 (atan2.f64 (neg.f64 im) re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 (neg.f64 base))) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 (neg.f64 base)) #s(literal 0 binary64)) (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (neg.f64 base))) (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 (neg.f64 base)) (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base)))))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 (neg.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 (neg.f64 base)))
(neg.f64 (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im (neg.f64 re)) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) #s(literal 0 binary64)) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (neg.f64 (log.f64 base)))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base)))
(neg.f64 (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))) (log.f64 base)) (*.f64 (atan2.f64 (neg.f64 im) re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) #s(literal 0 binary64)) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (neg.f64 (log.f64 base)))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base)))
(neg.f64 (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 (neg.f64 base))) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 (neg.f64 base)) #s(literal 0 binary64)) (neg.f64 (*.f64 (log.f64 (neg.f64 base)) (log.f64 (neg.f64 base)))))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (neg.f64 base))) (*.f64 (log.f64 (neg.f64 base)) (neg.f64 (log.f64 (neg.f64 base)))))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 (neg.f64 base)) (*.f64 (log.f64 (neg.f64 base)) (neg.f64 (log.f64 (neg.f64 base))))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 (neg.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 (neg.f64 base))))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) (*.f64 (atan2.f64 re im) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (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) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 re) (log.f64 re)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (fma.f64 (log.f64 (hypot.f64 base im)) (log.f64 re) #s(literal 0 binary64)) (*.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 (log.f64 (hypot.f64 im base)) (/.f64 (log.f64 re) (*.f64 (log.f64 re) (log.f64 re))))
(*.f64 (log.f64 (hypot.f64 im base)) (/.f64 #s(literal 1 binary64) (log.f64 re)))
(/.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) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (fma.f64 (log.f64 (hypot.f64 re base)) (log.f64 im) #s(literal 0 binary64)) (*.f64 (log.f64 im) (log.f64 im)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re base)) (log.f64 im)) (*.f64 (log.f64 im) (log.f64 im)))
(*.f64 (log.f64 (hypot.f64 re base)) (/.f64 (log.f64 im) (*.f64 (log.f64 im) (log.f64 im))))
(/.f64 (*.f64 (log.f64 (hypot.f64 re base)) #s(literal 1 binary64)) (log.f64 im))
(/.f64 (log.f64 (hypot.f64 re base)) (log.f64 im))
Symmetry

(abs re)

(abs im)

(sort re im)

explain239.0ms (2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1090-1(5.7115612974195254e-285 4.781379131387177e-162 1.988790273189899e-160)(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
00-0-base
00-0-(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
00-0-(*.f64 im im)
00-0-(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
00-0-(*.f64 (log.f64 base) (log.f64 base))
00-0-(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
00-0-(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
00-0-#s(literal 0 binary64)
00-0-(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
00-0-(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
00-0-(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64)))
00-0-re
00-0-(+.f64 (*.f64 re re) (*.f64 im im))
00-0-im
00-0-(atan2.f64 im re)
00-0-(*.f64 re re)
00-0-(log.f64 base)
Results
160.0ms512×0valid
Compiler

Compiled 277 to 56 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-log: 29.0ms (42.4% of total)
ival-mult: 18.0ms (26.3% of total)
ival-add: 8.0ms (11.7% of total)
ival-atan2: 6.0ms (8.8% of total)
ival-sqrt: 4.0ms (5.9% of total)
ival-div: 3.0ms (4.4% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 59 to 18 computations (69.5% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
▶99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶99.3%
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
▶99.3%
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
Compiler

Compiled 54 to 34 computations (37% saved)

simplify518.0ms (4.3%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(hypot.f64 re im)
✓cost-diff0
(log.f64 (hypot.f64 re im))
✓cost-diff0
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓cost-diff13056
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
✓cost-diff-128
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓cost-diff0
(log.f64 base)
✓cost-diff0
(hypot.f64 re im)
✓cost-diff0
(log.f64 (hypot.f64 re im))
✓cost-diff0
(hypot.f64 re im)
✓cost-diff0
(log.f64 (hypot.f64 re im))
✓cost-diff12928
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
✓cost-diff13056
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓cost-diff0
(hypot.f64 re im)
✓cost-diff0
(log.f64 (hypot.f64 re im))
✓cost-diff128
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
Rules
2128×cube-prod
1115×pow-sqr
948×cube-div
752×swap-sqr
411×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022445
141421
254421
3105421
4227421
5908421
61722421
71854421
82022421
92304421
102696421
113190421
123816421
134092421
144277421
154375421
164480421
174607421
185392421
196511421
206998421
217101421
227204421
237307421
247424421
257535421
267782421
277821421
287840421
297854421
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
(log.f64 base)
base
(*.f64 (log.f64 base) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(log.f64 base)
base
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(log.f64 base)
base
(*.f64 (log.f64 base) (log.f64 base))
Outputs
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log.f64 base)
base
(*.f64 (log.f64 base) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(log.f64 base)
base
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(log.f64 base)
base
(*.f64 (log.f64 base) (log.f64 base))

localize196.0ms (1.6%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(log.f64 (hypot.f64 re im))
✓accuracy99.5%
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓accuracy99.4%
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
✓accuracy99.2%
(*.f64 (log.f64 base) (log.f64 base))
✓accuracy100.0%
(hypot.f64 re im)
✓accuracy100.0%
(log.f64 base)
✓accuracy100.0%
(log.f64 (hypot.f64 re im))
✓accuracy99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓accuracy100.0%
(log.f64 (hypot.f64 re im))
✓accuracy99.5%
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
✓accuracy99.5%
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
✓accuracy99.2%
(*.f64 (log.f64 base) (log.f64 base))
✓accuracy100.0%
(log.f64 base)
✓accuracy100.0%
(log.f64 (hypot.f64 re im))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓accuracy99.5%
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
Results
169.0ms256×0valid
Compiler

Compiled 124 to 16 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 13.0ms (38.7% of total)
ival-hypot: 8.0ms (23.8% of total)
ival-log: 6.0ms (17.9% of total)
ival-mult: 6.0ms (17.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series546.0ms (4.6%)

Counts
11 → 268
Calls
Call 1
Inputs
#<alt (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))>
#<alt (log.f64 (hypot.f64 re im))>
#<alt (hypot.f64 re im)>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
#<alt (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))>
#<alt (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))>
#<alt (log.f64 base)>
#<alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))>
#<alt (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))>
#<alt (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))>
#<alt (*.f64 (log.f64 base) (log.f64 base))>
Outputs
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (*.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (*.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))))>
#<alt (/.f64 (log.f64 re) (log.f64 base))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base)))>
#<alt (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 re) (log.f64 base)))>
#<alt (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 re) (log.f64 base)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (log.f64 im)>
#<alt (+.f64 (log.f64 im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (log.f64 re)>
#<alt (+.f64 (log.f64 re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
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Calls

69 calls:

TimeVariablePointExpression
440.0ms
base
@0
(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
34.0ms
im
@inf
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
20.0ms
base
@-inf
(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
7.0ms
base
@inf
(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
2.0ms
re
@0
(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))

rewrite478.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
1037×log1p-expm1-u
1037×expm1-log1p-u
181×expm1-undefine
181×log1p-undefine
135×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022230
1312230
23458230
Stop Event
1×node limit
Counts
11 → 435
Calls
Call 1
Inputs
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
(/.f64 #s(literal 1 binary64) (log.f64 base))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (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)))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 base))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 1 binary64))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base)))) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.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)) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.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)) #s(literal -1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (log.f64 base)) (log.f64 base))
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (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)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(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))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 re im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) #s(literal 1 binary64))
(*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))
(*.f64 (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 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (sqrt.f64 (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 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (log.f64 base))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64)) (log.f64 base))
(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(log1p.f64 (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (log.f64 (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 (hypot.f64 re im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 re im))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))
(pow.f64 (hypot.f64 re im) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (hypot.f64 re im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 re im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 re im)))
(log1p.f64 (expm1.f64 (hypot.f64 re im)))
(exp.f64 (log.f64 (hypot.f64 re im)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (cbrt.f64 (log.f64 base)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 (log.f64 base) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 1 binary64))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base)))) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.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)) #s(literal 1 binary64)) (log.f64 base))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (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))) #s(literal 1 binary64)) (/.f64 (sqrt.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)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (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)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(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))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (hypot.f64 re im))))
(*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (log.f64 (hypot.f64 re im))))
(*.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))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (sqrt.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 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 re im))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (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 (log.f64 base) #s(literal 2 binary64))))
(*.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 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (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))) #s(literal 1 binary64)) (/.f64 (sqrt.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)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (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)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(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))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)) #s(literal 1 binary64)))
(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))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(log.f64 (pow.f64 base (log.f64 base)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))) #s(literal 1 binary64)))

simplify456.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
719×times-frac
459×fma-define
396×associate-/r*
358×prod-exp
327×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084829619
1202628829
2780528829
Stop Event
1×node limit
Counts
703 → 575
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
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(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (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))) #s(literal 1 binary64)) (/.f64 (sqrt.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)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (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)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(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))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)) #s(literal 1 binary64)))
(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))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(log.f64 (pow.f64 base (log.f64 base)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))) #s(literal 1 binary64)))
Outputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) (pow.f64 im #s(literal 2 binary64))))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) (pow.f64 im #s(literal 2 binary64))))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 2 binary64)))) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 2 binary64)))))))
(+.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 2 binary64)))) (/.f64 (log.f64 re) (log.f64 base))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (*.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64)))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 2 binary64))))))))
(+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64))))))) (/.f64 (log.f64 re) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re))) (log.f64 base))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 2 binary64))))))
(-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (pow.f64 re #s(literal 2 binary64)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 2 binary64)))))))
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(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)) #s(literal 1 binary64)))
(log1p.f64 (+.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)) #s(literal -1 binary64)))
(log1p.f64 (+.f64 #s(literal -1 binary64) (pow.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 base) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1 binary64)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(log.f64 (pow.f64 base (log.f64 base)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))) #s(literal 1 binary64)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))

eval220.0ms (1.8%)

Compiler

Compiled 33543 to 3293 computations (90.2% saved)

prune250.0ms (2.1%)

Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New1528221550
Fresh000
Picked314
Done000
Total1531231554
Accuracy
100.0%
Counts
1554 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶56.1%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
72.8%
(/.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (log.f64 base))
88.6%
(/.f64 (+.f64 (log.f64 im) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)))) (log.f64 base))
▶98.6%
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
38.3%
(/.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))) (log.f64 base))
98.2%
(/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
▶99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base))))
✓99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
50.3%
(/.f64 (log.f64 (hypot.f64 re im)) (expm1.f64 (log1p.f64 (log.f64 base))))
▶50.2%
(/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (log.f64 (log.f64 base))))
▶98.7%
(/.f64 (log.f64 im) (log.f64 base))
72.1%
(/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
99.0%
(/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))) (log.f64 base))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
75.1%
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 1 binary64))
50.2%
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (log.f64 base)))))
98.8%
(*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
98.5%
(*.f64 (log.f64 im) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
98.5%
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
99.3%
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
99.0%
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
99.0%
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
56.2%
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
Compiler

Compiled 580 to 429 computations (26% saved)

simplify80.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 (hypot.f64 re im))
cost-diff0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓cost-diff0
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
✓cost-diff12864
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
cost-diff0
(hypot.f64 re im)
cost-diff0
(log.f64 (hypot.f64 re im))
✓cost-diff12800
(exp.f64 (log.f64 (log.f64 base)))
✓cost-diff12800
(/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (log.f64 (log.f64 base))))
✓cost-diff0
(log.f64 im)
✓cost-diff0
(*.f64 (log.f64 im) (log.f64 base))
cost-diff64
(*.f64 (log.f64 base) (log.f64 base))
✓cost-diff13056
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
cost-diff0
(log.f64 base)
✓cost-diff0
(log.f64 im)
✓cost-diff0
(/.f64 (log.f64 im) (log.f64 base))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base)))
cost-diff0
(hypot.f64 re im)
cost-diff0
(log.f64 (hypot.f64 re im))
✓cost-diff0
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base))))
Rules
576×fma-define
556×distribute-rgt-in
513×distribute-lft-in
448×associate-*r/
387×prod-exp
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
029498
144498
264498
382498
4147491
5345491
61311491
72828491
84190491
97766491
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base))))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base)))
#s(literal 2 binary64)
(log.f64 (sqrt.f64 base))
(sqrt.f64 base)
base
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
(*.f64 (log.f64 base) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (log.f64 (log.f64 base))))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(exp.f64 (log.f64 (log.f64 base)))
(log.f64 (log.f64 base))
(log.f64 base)
base
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(log.f64 base)
base
#s(literal 2 binary64)
Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (log.f64 (sqrt.f64 base)))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base)))
#s(literal 2 binary64)
(log.f64 (sqrt.f64 base))
(sqrt.f64 base)
base
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (log.f64 (log.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(exp.f64 (log.f64 (log.f64 base)))
(log.f64 base)
(log.f64 (log.f64 base))
(log.f64 base)
base
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(/.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 (hypot.f64 re im)) (log.f64 base))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(log.f64 base)
base
#s(literal 2 binary64)

localize318.0ms (2.7%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 base)
✓accuracy99.9%
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
accuracy99.7%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓accuracy99.7%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
accuracy100.0%
(log.f64 base)
✓accuracy100.0%
(log.f64 (log.f64 base))
✓accuracy99.7%
(/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (log.f64 (log.f64 base))))
✓accuracy99.2%
(exp.f64 (log.f64 (log.f64 base)))
accuracy100.0%
(log.f64 base)
✓accuracy99.8%
(*.f64 (log.f64 im) (log.f64 base))
✓accuracy99.7%
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
accuracy99.7%
(*.f64 (log.f64 base) (log.f64 base))
✓accuracy100.0%
(log.f64 im)
accuracy100.0%
(log.f64 base)
✓accuracy99.7%
(/.f64 (log.f64 im) (log.f64 base))
✓accuracy100.0%
(sqrt.f64 base)
accuracy100.0%
(log.f64 (hypot.f64 re im))
✓accuracy100.0%
(log.f64 (sqrt.f64 base))
✓accuracy99.7%
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base))))
Results
222.0ms152×0invalid
34.0ms104×0valid
Compiler

Compiled 139 to 23 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 221.0ms
ival-sqrt: 134.0ms (60.5% of total)
ival-log: 63.0ms (28.4% of total)
ival-div: 9.0ms (4.1% of total)
ival-mult: 5.0ms (2.3% of total)
ival-hypot: 5.0ms (2.3% of total)
ival-pow: 3.0ms (1.4% of total)
ival-exp: 2.0ms (0.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series286.0ms (2.4%)

Counts
13 → 256
Calls
Call 1
Inputs
#<alt (/.f64 (log.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base))))>
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base)))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (log.f64 im)>
#<alt (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))>
#<alt (*.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (log.f64 (log.f64 base))))>
#<alt (exp.f64 (log.f64 (log.f64 base)))>
#<alt (pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))>
#<alt (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))>
#<alt (log.f64 (sqrt.f64 base))>
#<alt (sqrt.f64 base)>
#<alt (log.f64 (log.f64 base))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 (sqrt.f64 base))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 (sqrt.f64 base))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 (sqrt.f64 base))))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 (sqrt.f64 base))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 (sqrt.f64 base))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 (sqrt.f64 base))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 (sqrt.f64 base))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 (sqrt.f64 base)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 (sqrt.f64 base))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 (sqrt.f64 base)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 (sqrt.f64 base))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 (sqrt.f64 base)))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 (sqrt.f64 base)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 (sqrt.f64 base))))) (+.f64 (*.f64 #s(literal 1/1440 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (*.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 (sqrt.f64 base))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 (sqrt.f64 base))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (sqrt.f64 base))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (sqrt.f64 base)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 (sqrt.f64 base))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (sqrt.f64 base)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 (sqrt.f64 base))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 (sqrt.f64 base)))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (sqrt.f64 base)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 (sqrt.f64 base))))) (+.f64 (*.f64 #s(literal 1/1440 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (*.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 (sqrt.f64 base))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 (sqrt.f64 base))))))))>
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#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))))))) (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (log.f64 base) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))))) (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (log.f64 base) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (log.f64 base))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (log.f64 base) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 im #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))))) (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base)))>
#<alt (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base)))>
#<alt (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base)))>
#<alt (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base)))>
#<alt (*.f64 (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base)))) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base)))) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base)))) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base)))) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) base))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) base))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) base))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) base))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
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#<alt (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) base)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) base)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 base) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 base) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 base) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 base) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (log.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (log.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
Calls

72 calls:

TimeVariablePointExpression
65.0ms
base
@inf
(log (log base))
36.0ms
base
@0
(/ (log (sqrt (+ (* re re) (* im im)))) (* 2 (log (sqrt base))))
22.0ms
base
@0
(/ (log im) (log base))
21.0ms
im
@0
(/ (log im) (log base))
19.0ms
base
@-inf
(/ (log (sqrt (+ (* re re) (* im im)))) (* 2 (log (sqrt base))))

rewrite278.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
989×log1p-expm1-u
663×expm1-log1p-u
195×prod-diff
171×add-exp-log
169×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029293
1409243
25065243
Stop Event
1×node limit
Counts
13 → 481
Calls
Call 1
Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (log.f64 (log.f64 base))))
(exp.f64 (log.f64 (log.f64 base)))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(log.f64 (sqrt.f64 base))
(sqrt.f64 base)
(log.f64 (log.f64 base))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(*.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 #s(literal 1/2 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 #s(literal 1 binary64) (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))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) (cbrt.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))) (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 base))))
(*.f64 (*.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)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (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))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (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))) #s(literal 1 binary64)) (/.f64 (sqrt.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)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 base))) (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (log.f64 (sqrt.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 base))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (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)) #s(literal 3 binary64)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (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))) #s(literal 1 binary64)) (/.f64 (sqrt.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)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 base))) (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (log.f64 (sqrt.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 base))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (sqrt.f64 base)) (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 base)))
(/.f64 #s(literal -1 binary64) (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 (neg.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64))) (neg.f64 (log.f64 (sqrt.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)) (log.f64 (sqrt.f64 base))) #s(literal 2 binary64))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 (sqrt.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 base))))
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)) (sqrt.f64 (log.f64 (sqrt.f64 base)))) (sqrt.f64 (log.f64 (sqrt.f64 base))))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (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)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(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))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (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))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base)))
(/.f64 (sqrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64))) (sqrt.f64 (log.f64 (sqrt.f64 base))))
(/.f64 (neg.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (sqrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.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)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(exp.f64 (log.f64 (sqrt.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))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 base)))
(+.f64 (log.f64 (pow.f64 base #s(literal 1/4 binary64))) (log.f64 (pow.f64 base #s(literal 1/4 binary64))))
(+.f64 (log.f64 (cbrt.f64 base)) (log.f64 (cbrt.f64 (sqrt.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 base)))) #s(literal 1 binary64))
(*.f64 (log.f64 (sqrt.f64 base)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 base))
(*.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 base)))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (sqrt.f64 base))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 base))) (sqrt.f64 (log.f64 (sqrt.f64 base))))
(pow.f64 (log.f64 (sqrt.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 base)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 base)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 base))))
(log1p.f64 (-.f64 (sqrt.f64 base) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 base))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 base))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 base) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 base))
(*.f64 (cbrt.f64 (sqrt.f64 base)) (cbrt.f64 base))
(*.f64 (cbrt.f64 base) (cbrt.f64 (sqrt.f64 base)))
(*.f64 (pow.f64 base #s(literal 1/4 binary64)) (pow.f64 base #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 base))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 base) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 base) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 base) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 base)))
(pow.f64 base #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 base) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 base)) #s(literal 3 binary64))
(pow.f64 (pow.f64 base #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 base #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 base)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 base))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 base)))) (sqrt.f64 (log.f64 (sqrt.f64 base))))
(fabs.f64 (sqrt.f64 base))
(log.f64 (exp.f64 (sqrt.f64 base)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 base))))
(cbrt.f64 (pow.f64 base #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 base)))
(log1p.f64 (expm1.f64 (sqrt.f64 base)))
(exp.f64 (log.f64 (sqrt.f64 base)))
(exp.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)))
(+.f64 (log.f64 (log.f64 (sqrt.f64 base))) (log.f64 #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (log.f64 base)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (log.f64 (sqrt.f64 base))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (log.f64 base))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 base))) (log.f64 (sqrt.f64 (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (log.f64 base)))) #s(literal 1 binary64))
(*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (log.f64 base)))
(*.f64 (cbrt.f64 (log.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 base))) (sqrt.f64 (log.f64 (log.f64 base))))
(pow.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 base))))
(log1p.f64 (-.f64 (log.f64 base) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 (log.f64 base))) #s(literal 1 binary64)))

simplify423.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
835×times-frac
772×associate-*r*
588×fma-define
282×*-commutative
202×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0105932652
1253530714
Stop Event
1×node limit
Counts
737 → 613
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 (sqrt.f64 base))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 (sqrt.f64 base))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 (sqrt.f64 base))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 (sqrt.f64 base))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 (sqrt.f64 base))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 (sqrt.f64 base))))))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 (sqrt.f64 base))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 (sqrt.f64 base)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 (sqrt.f64 base))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 (sqrt.f64 base)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 (sqrt.f64 base))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 (sqrt.f64 base)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 (sqrt.f64 base)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 (sqrt.f64 base))))) (+.f64 (*.f64 #s(literal 1/1440 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (*.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 (sqrt.f64 base))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 (sqrt.f64 base))))))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (sqrt.f64 base))))
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(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (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)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(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))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (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))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base)))
(/.f64 (sqrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64))) (sqrt.f64 (log.f64 (sqrt.f64 base))))
(/.f64 (neg.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (sqrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.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)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(exp.f64 (log.f64 (sqrt.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))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 base)))
(+.f64 (log.f64 (pow.f64 base #s(literal 1/4 binary64))) (log.f64 (pow.f64 base #s(literal 1/4 binary64))))
(+.f64 (log.f64 (cbrt.f64 base)) (log.f64 (cbrt.f64 (sqrt.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 base)))) #s(literal 1 binary64))
(*.f64 (log.f64 (sqrt.f64 base)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 base))
(*.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 base)))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (sqrt.f64 base))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 base))) (sqrt.f64 (log.f64 (sqrt.f64 base))))
(pow.f64 (log.f64 (sqrt.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 base)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 base)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 base))))
(log1p.f64 (-.f64 (sqrt.f64 base) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 base))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 base))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 base) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 base))
(*.f64 (cbrt.f64 (sqrt.f64 base)) (cbrt.f64 base))
(*.f64 (cbrt.f64 base) (cbrt.f64 (sqrt.f64 base)))
(*.f64 (pow.f64 base #s(literal 1/4 binary64)) (pow.f64 base #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 base))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 base) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 base) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 base) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 base)))
(pow.f64 base #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 base) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 base)) #s(literal 3 binary64))
(pow.f64 (pow.f64 base #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 base #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 base)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 base))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 base)))) (sqrt.f64 (log.f64 (sqrt.f64 base))))
(fabs.f64 (sqrt.f64 base))
(log.f64 (exp.f64 (sqrt.f64 base)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 base))))
(cbrt.f64 (pow.f64 base #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 base)))
(log1p.f64 (expm1.f64 (sqrt.f64 base)))
(exp.f64 (log.f64 (sqrt.f64 base)))
(exp.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)))
(+.f64 (log.f64 (log.f64 (sqrt.f64 base))) (log.f64 #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (log.f64 base)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (log.f64 (sqrt.f64 base))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (log.f64 base))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 base))) (log.f64 (sqrt.f64 (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (log.f64 base)))) #s(literal 1 binary64))
(*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (log.f64 base)))
(*.f64 (cbrt.f64 (log.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 base))) (sqrt.f64 (log.f64 (log.f64 base))))
(pow.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 base))))
(log1p.f64 (-.f64 (log.f64 base) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 (log.f64 base))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 (sqrt.f64 base))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base)))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 (sqrt.f64 base)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (log.f64 (sqrt.f64 base)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 (sqrt.f64 base))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 (sqrt.f64 base))))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 (sqrt.f64 base)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 (sqrt.f64 base)) (pow.f64 im #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (log.f64 (sqrt.f64 base))) (/.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 (sqrt.f64 base)) (pow.f64 im #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 (sqrt.f64 base))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 (sqrt.f64 base))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 (sqrt.f64 base))))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 (sqrt.f64 base)) (pow.f64 im #s(literal 6 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (log.f64 (sqrt.f64 base)) (pow.f64 im #s(literal 4 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 (sqrt.f64 base)) (pow.f64 im #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64))) (log.f64 (sqrt.f64 base))) (/.f64 #s(literal -1/8 binary64) (*.f64 (log.f64 (sqrt.f64 base)) (pow.f64 im #s(literal 4 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 (sqrt.f64 base)) (pow.f64 im #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 re)) (log.f64 (sqrt.f64 base))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 (sqrt.f64 base)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 (sqrt.f64 base))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 re)) (log.f64 (sqrt.f64 base))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 (sqrt.f64 base)) (pow.f64 re #s(literal 2 binary64))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 re)) (log.f64 (sqrt.f64 base))) (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 (sqrt.f64 base)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 (sqrt.f64 base)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 (sqrt.f64 base))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 (sqrt.f64 base)))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 re)) (log.f64 (sqrt.f64 base))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (log.f64 (sqrt.f64 base)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 (sqrt.f64 base)) (pow.f64 re #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 re)) (log.f64 (sqrt.f64 base))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 (sqrt.f64 base)) (pow.f64 re #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (log.f64 (sqrt.f64 base)) (pow.f64 re #s(literal 4 binary64))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 (sqrt.f64 base)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 (sqrt.f64 base))))) (+.f64 (*.f64 #s(literal 1/1440 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (*.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 (sqrt.f64 base))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 (sqrt.f64 base))))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 re)) (log.f64 (sqrt.f64 base))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (log.f64 (sqrt.f64 base)) (pow.f64 re #s(literal 4 binary64)))) (fma.f64 #s(literal 1/1440 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (*.f64 (log.f64 (sqrt.f64 base)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 (sqrt.f64 base)) (pow.f64 re #s(literal 2 binary64))))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 re)) (log.f64 (sqrt.f64 base))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (log.f64 (sqrt.f64 base)) (pow.f64 re #s(literal 4 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 (sqrt.f64 base)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/1440 binary64) (/.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 re #s(literal 6 binary64))) (log.f64 (sqrt.f64 base)))))))
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(neg.f64 (*.f64 (sqrt.f64 base) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 base)
(fabs.f64 (sqrt.f64 base))
(neg.f64 (*.f64 (sqrt.f64 base) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 base)
(log.f64 (exp.f64 (sqrt.f64 base)))
(neg.f64 (*.f64 (sqrt.f64 base) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 base)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 base))))
(neg.f64 (*.f64 (sqrt.f64 base) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 base)
(cbrt.f64 (pow.f64 base #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 base)))
(log1p.f64 (expm1.f64 (sqrt.f64 base)))
(neg.f64 (*.f64 (sqrt.f64 base) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 base)
(exp.f64 (log.f64 (sqrt.f64 base)))
(neg.f64 (*.f64 (sqrt.f64 base) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 base)
(exp.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 (sqrt.f64 base) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 base)
(+.f64 (log.f64 (log.f64 (sqrt.f64 base))) (log.f64 #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (log.f64 base)))
(log.f64 (log.f64 base))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (log.f64 (sqrt.f64 base))))
(+.f64 (log.f64 (log.f64 (sqrt.f64 base))) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (log.f64 base))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 base))) (log.f64 (sqrt.f64 (log.f64 base))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (log.f64 base)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 base))))
(*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))
(log.f64 (log.f64 base))
(*.f64 #s(literal 1 binary64) (log.f64 (log.f64 base)))
(log.f64 (log.f64 base))
(*.f64 (cbrt.f64 (log.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)))
(log.f64 (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(*.f64 (sqrt.f64 (log.f64 (log.f64 base))) (sqrt.f64 (log.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(pow.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))
(log.f64 (log.f64 base))
(pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64))
(log.f64 (log.f64 base))
(pow.f64 (pow.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (log.f64 base))
(pow.f64 (sqrt.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))
(log.f64 (log.f64 base))
(sqrt.f64 (pow.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(fabs.f64 (log.f64 (log.f64 base)))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64)))
(log.f64 (log.f64 base))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 base))))
(log1p.f64 (-.f64 (log.f64 base) #s(literal 1 binary64)))
(log1p.f64 (+.f64 (log.f64 base) #s(literal -1 binary64)))
(exp.f64 (log.f64 (log.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(exp.f64 (*.f64 (log.f64 (log.f64 (log.f64 base))) #s(literal 1 binary64)))
(log.f64 (log.f64 base))

eval692.0ms (5.8%)

Compiler

Compiled 34926 to 4496 computations (87.1% saved)

prune354.0ms (3%)

Pruning

26 alts after pruning (24 fresh and 2 done)

PrunedKeptTotal
New1625201645
Fresh13417
Picked415
Done011
Total1642261668
Accuracy
100.0%
Counts
1668 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))
72.5%
(/.f64 (pow.f64 (sqrt.f64 (log.f64 im)) #s(literal 2 binary64)) (log.f64 base))
71.8%
(/.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 im))) #s(literal 1 binary64)) (log.f64 base))
88.6%
(/.f64 (+.f64 (log.f64 im) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)))) (log.f64 base))
98.6%
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
98.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
✓99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶50.5%
(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
97.5%
(/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
✓98.7%
(/.f64 (log.f64 im) (log.f64 base))
50.1%
(/.f64 (log.f64 im) (expm1.f64 (log1p.f64 (log.f64 base))))
50.1%
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
71.8%
(/.f64 (expm1.f64 (log1p.f64 (log.f64 im))) (log.f64 base))
▶71.8%
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
98.2%
(/.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64))) (log.f64 base))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
74.7%
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
▶98.5%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 im) (log.f64 base)))
▶98.5%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
50.2%
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (log.f64 base)))))
▶98.8%
(*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
98.6%
(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
98.2%
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
98.3%
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
75.2%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
56.2%
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
Compiler

Compiled 574 to 449 computations (21.8% saved)

simplify180.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (log.f64 im) (log.f64 base))
cost-diff0
(log.f64 base)
✓cost-diff0
(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓cost-diff12992
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 im) (log.f64 base)))
✓cost-diff0
(sqrt.f64 (log.f64 base))
cost-diff0
(log.f64 im)
✓cost-diff12864
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
✓cost-diff12864
(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
cost-diff0
(log.f64 im)
✓cost-diff0
(log.f64 (log.f64 im))
✓cost-diff12800
(exp.f64 (log.f64 (log.f64 im)))
✓cost-diff12800
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
cost-diff0
(log.f64 im)
cost-diff0
(log.f64 base)
cost-diff0
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
cost-diff0
(log.f64 (hypot.f64 re im))
✓cost-diff128
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))
✓cost-diff12864
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)))
✓cost-diff12992
(*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
Rules
1438×cube-prod
1092×cube-div
770×times-frac
566×fabs-div
411×swap-sqr
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
032432
158408
288402
3171402
4321402
5805402
61960396
72968396
83749396
94724396
105270396
115864396
126310396
136876396
147777396
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
#s(literal 3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
(log.f64 im)
im
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
(exp.f64 (log.f64 (log.f64 im)))
(log.f64 (log.f64 im))
(log.f64 im)
im
(log.f64 base)
base
(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(log.f64 im)
im
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
(sqrt.f64 (log.f64 base))
(log.f64 base)
base
#s(literal 2 binary64)
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log.f64 base)
base
#s(literal -2 binary64)
(*.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
Outputs
(*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(pow.f64 (log.f64 base) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
#s(literal 3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
(log.f64 im)
im
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (log.f64 (log.f64 im)))
(log.f64 im)
(log.f64 (log.f64 im))
(log.f64 im)
im
(log.f64 base)
base
(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
(log.f64 base)
(sqrt.f64 (log.f64 base))
(log.f64 base)
base
#s(literal 2 binary64)
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 im) (log.f64 base)))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log.f64 base)
base
#s(literal -2 binary64)
(*.f64 (log.f64 im) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 im))
(log.f64 im)
im

localize253.0ms (2.1%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 base)
accuracy99.8%
(*.f64 (log.f64 im) (log.f64 base))
✓accuracy99.7%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 im) (log.f64 base)))
✓accuracy99.7%
(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy100.0%
(log.f64 base)
✓accuracy99.9%
(sqrt.f64 (log.f64 base))
✓accuracy99.7%
(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
✓accuracy99.7%
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
accuracy100.0%
(log.f64 base)
✓accuracy100.0%
(log.f64 (log.f64 im))
✓accuracy99.7%
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
✓accuracy99.3%
(exp.f64 (log.f64 (log.f64 im)))
accuracy100.0%
(log.f64 im)
accuracy100.0%
(log.f64 base)
accuracy99.8%
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓accuracy99.8%
(*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
✓accuracy99.6%
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)))
✓accuracy99.5%
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))
Results
59.0ms152×0invalid
43.0ms104×0valid
Compiler

Compiled 134 to 26 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-log: 16.0ms (26.6% of total)
ival-mult: 15.0ms (24.9% of total)
ival-pow: 13.0ms (21.6% of total)
ival-div: 5.0ms (8.3% of total)
ival-hypot: 5.0ms (8.3% of total)
ival-exp: 2.0ms (3.3% of total)
ival-cbrt: 2.0ms (3.3% of total)
ival-sqrt: 2.0ms (3.3% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series189.0ms (1.6%)

Counts
12 → 208
Calls
Call 1
Inputs
#<alt (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))>
#<alt (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)))>
#<alt (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))>
#<alt (/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))>
#<alt (exp.f64 (log.f64 (log.f64 im)))>
#<alt (log.f64 (log.f64 im))>
#<alt (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))>
#<alt (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))>
#<alt (sqrt.f64 (log.f64 base))>
#<alt (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 im) (log.f64 base)))>
#<alt (pow.f64 (log.f64 base) #s(literal -2 binary64))>
Outputs
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (*.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))))>
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#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (log.f64 base)>
#<alt (log.f64 base)>
#<alt (log.f64 base)>
#<alt (log.f64 base)>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (sqrt.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (sqrt.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (sqrt.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (sqrt.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 2 binary64)))>
Calls

54 calls:

TimeVariablePointExpression
80.0ms
im
@inf
(log (log im))
69.0ms
im
@-inf
(log (log im))
15.0ms
im
@0
(log (log im))
2.0ms
base
@-inf
(pow (log base) -2)
1.0ms
base
@-inf
(pow (/ 1 (log base)) 3)

rewrite201.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
843×log1p-expm1-u
843×expm1-log1p-u
260×expm1-undefine
260×log1p-undefine
147×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032227
1431215
24081215
Stop Event
1×node limit
Counts
12 → 329
Calls
Call 1
Inputs
(*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
(exp.f64 (log.f64 (log.f64 im)))
(log.f64 (log.f64 im))
(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
(sqrt.f64 (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 1 binary64))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (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)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))))
(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))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(fabs.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (neg.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal 1 binary64)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.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) #s(literal -1 binary64)) (neg.f64 (log.f64 base)))
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(pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal 2 binary64))
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(log.f64 (exp.f64 (sqrt.f64 (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (log.f64 base)))))
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 base))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 base))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 base))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 im (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 im (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))))))
(log1p.f64 (-.f64 (pow.f64 (pow.f64 im (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base))
(/.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (neg.f64 (log.f64 base))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) (neg.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base))) #s(literal 1 binary64)))

simplify347.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
482×cube-prod
424×times-frac
406×fma-neg
381×associate-/r*
361×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065414359
1126213869
2542313867
Stop Event
1×node limit
Counts
537 → 420
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (*.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (*.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 re) (log.f64 base)))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 re) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 3 binary64)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
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(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1 binary64))
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(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))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 base))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 base) #s(literal 2 binary64))) (log.f64 (cbrt.f64 base)))
(+.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 base))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 base))
(*.f64 (log.f64 base) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (log.f64 base)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) (sqrt.f64 (log.f64 base))))
(*.f64 (*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 1/4 binary64))) (pow.f64 (log.f64 base) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 (neg.f64 (log.f64 base)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(log.f64 base)
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 base #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 base)))
(log1p.f64 (-.f64 base #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 base)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base)))
(*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) (pow.f64 (log.f64 base) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (log.f64 base))))
(pow.f64 (log.f64 base) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (log.f64 base)))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (log.f64 base)))))
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 base))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 base))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 base))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (*.f64 (log.f64 base) (log.f64 im)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 im (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 im (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 im)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))))))
(log1p.f64 (-.f64 (pow.f64 (pow.f64 im (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base))
(/.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (neg.f64 (log.f64 base))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) (neg.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base))) #s(literal 1 binary64)))
Outputs
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) (pow.f64 im #s(literal 2 binary64))))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) (pow.f64 im #s(literal 2 binary64))))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (log.f64 im) (log.f64 base)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) 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 (neg.f64 (log.f64 re)) (neg.f64 (log.f64 base)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (log.f64 base))))
(-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (pow.f64 re #s(literal 2 binary64)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (log.f64 base)))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64)))))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))
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(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) (neg.f64 (log.f64 base)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))

eval250.0ms (2.1%)

Compiler

Compiled 19313 to 2946 computations (84.7% saved)

prune278.0ms (2.3%)

Pruning

26 alts after pruning (20 fresh and 6 done)

PrunedKeptTotal
New118831191
Fresh21719
Picked145
Done022
Total1191261217
Accuracy
100.0%
Counts
1217 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))
72.5%
(/.f64 (pow.f64 (sqrt.f64 (log.f64 im)) #s(literal 2 binary64)) (log.f64 base))
71.5%
(/.f64 (pow.f64 (E.f64) (log.f64 (log.f64 im))) (log.f64 base))
71.8%
(/.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 im))) #s(literal 1 binary64)) (log.f64 base))
88.6%
(/.f64 (+.f64 (log.f64 im) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)))) (log.f64 base))
▶98.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
✓99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓50.5%
(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
▶97.5%
(/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
✓98.7%
(/.f64 (log.f64 im) (log.f64 base))
50.1%
(/.f64 (log.f64 im) (expm1.f64 (log1p.f64 (log.f64 base))))
50.1%
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
▶71.8%
(/.f64 (expm1.f64 (log1p.f64 (log.f64 im))) (log.f64 base))
✓71.8%
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
98.2%
(/.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64))) (log.f64 base))
▶98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
74.7%
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
✓98.5%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 im) (log.f64 base)))
✓98.5%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
▶50.1%
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (log.f64 base)))) (log.f64 im))
98.0%
(*.f64 (log.f64 im) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
98.6%
(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
98.2%
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
98.3%
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
75.2%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
56.2%
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
Compiler

Compiled 518 to 411 computations (20.7% saved)

simplify63.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log1p.f64 (log.f64 base))
✓cost-diff12800
(expm1.f64 (log1p.f64 (log.f64 base)))
✓cost-diff12800
(/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (log.f64 base))))
✓cost-diff12928
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (log.f64 base)))) (log.f64 im))
✓cost-diff0
(cbrt.f64 (log.f64 base))
cost-diff0
(log.f64 im)
✓cost-diff12864
(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))
✓cost-diff12864
(/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
cost-diff0
(log.f64 im)
✓cost-diff0
(log1p.f64 (log.f64 im))
✓cost-diff12800
(expm1.f64 (log1p.f64 (log.f64 im)))
✓cost-diff12800
(/.f64 (expm1.f64 (log1p.f64 (log.f64 im))) (log.f64 base))
cost-diff0
(log.f64 im)
cost-diff0
(log.f64 base)
✓cost-diff0
(/.f64 (log.f64 base) (log.f64 im))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
cost-diff0
(log.f64 (sqrt.f64 base))
cost-diff0
(log.f64 im)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (log.f64 im))
✓cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
Rules
870×fma-define
765×fma-neg
646×distribute-lft-in
585×distribute-rgt-in
459×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029392
154368
288366
3182360
4295360
5641360
61889360
75112360
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
(*.f64 #s(literal 1/2 binary64) (log.f64 im))
#s(literal 1/2 binary64)
(log.f64 im)
im
(log.f64 (sqrt.f64 base))
(sqrt.f64 base)
base
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
#s(literal 1 binary64)
(/.f64 (log.f64 base) (log.f64 im))
(log.f64 base)
base
(log.f64 im)
im
(/.f64 (expm1.f64 (log1p.f64 (log.f64 im))) (log.f64 base))
(expm1.f64 (log1p.f64 (log.f64 im)))
(log1p.f64 (log.f64 im))
(log.f64 im)
im
(log.f64 base)
base
(/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
(log.f64 im)
im
(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))
(cbrt.f64 (log.f64 base))
(log.f64 base)
base
#s(literal 3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (log.f64 base)))) (log.f64 im))
(/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (log.f64 base))))
#s(literal 1 binary64)
(expm1.f64 (log1p.f64 (log.f64 base)))
(log1p.f64 (log.f64 base))
(log.f64 base)
base
(log.f64 im)
im
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))
(*.f64 (log.f64 im) (/.f64 #s(literal 1/2 binary64) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal 1/2 binary64) (log.f64 im))
#s(literal 1/2 binary64)
(log.f64 im)
im
(log.f64 (sqrt.f64 base))
(sqrt.f64 base)
base
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(/.f64 (log.f64 im) (log.f64 base))
#s(literal 1 binary64)
(/.f64 (log.f64 base) (log.f64 im))
(log.f64 base)
base
(log.f64 im)
im
(/.f64 (expm1.f64 (log1p.f64 (log.f64 im))) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(/.f64 (log.f64 im) (log.f64 base))
(expm1.f64 (log1p.f64 (log.f64 im)))
(log.f64 im)
(log1p.f64 (log.f64 im))
(log.f64 im)
im
(log.f64 base)
base
(/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))
(log.f64 base)
(cbrt.f64 (log.f64 base))
(log.f64 base)
base
#s(literal 3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (log.f64 base)))) (log.f64 im))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (log.f64 base))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 base) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(expm1.f64 (log1p.f64 (log.f64 base)))
(log.f64 base)
(log1p.f64 (log.f64 base))
(log.f64 base)
base
(log.f64 im)
im

localize212.0ms (1.8%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(log1p.f64 (log.f64 base))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (log.f64 base))))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (log.f64 base)))) (log.f64 im))
✓accuracy99.3%
(expm1.f64 (log1p.f64 (log.f64 base)))
accuracy100.0%
(log.f64 base)
✓accuracy99.7%
(/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
✓accuracy99.7%
(cbrt.f64 (log.f64 base))
✓accuracy99.6%
(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))
accuracy100.0%
(log.f64 base)
✓accuracy100.0%
(log1p.f64 (log.f64 im))
✓accuracy99.7%
(/.f64 (expm1.f64 (log1p.f64 (log.f64 im))) (log.f64 base))
✓accuracy99.3%
(expm1.f64 (log1p.f64 (log.f64 im)))
accuracy100.0%
(log.f64 im)
accuracy100.0%
(log.f64 base)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
✓accuracy99.8%
(/.f64 (log.f64 base) (log.f64 im))
accuracy100.0%
(sqrt.f64 base)
accuracy100.0%
(log.f64 im)
accuracy100.0%
(log.f64 (sqrt.f64 base))
✓accuracy99.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
Results
52.0ms152×0invalid
38.0ms104×0valid
Compiler

Compiled 117 to 25 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-div: 14.0ms (27.1% of total)
ival-log: 12.0ms (23.2% of total)
ival-pow: 7.0ms (13.5% of total)
ival-mult: 5.0ms (9.7% of total)
ival-log1p: 5.0ms (9.7% of total)
ival-expm1: 4.0ms (7.7% of total)
ival-cbrt: 2.0ms (3.9% of total)
ival-sqrt: 2.0ms (3.9% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series573.0ms (4.8%)

Counts
14 → 224
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))>
#<alt (*.f64 #s(literal 1/2 binary64) (log.f64 im))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))>
#<alt (/.f64 (log.f64 base) (log.f64 im))>
#<alt (/.f64 (expm1.f64 (log1p.f64 (log.f64 im))) (log.f64 base))>
#<alt (expm1.f64 (log1p.f64 (log.f64 im)))>
#<alt (log1p.f64 (log.f64 im))>
#<alt (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))>
#<alt (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))>
#<alt (cbrt.f64 (log.f64 base))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (log.f64 base)))) (log.f64 im))>
#<alt (/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (log.f64 base))))>
#<alt (expm1.f64 (log1p.f64 (log.f64 base)))>
#<alt (log1p.f64 (log.f64 base))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 (sqrt.f64 base))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 (sqrt.f64 base))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 (sqrt.f64 base))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 (sqrt.f64 base))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 (sqrt.f64 base))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 (sqrt.f64 base))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 (sqrt.f64 base))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 (sqrt.f64 base))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) base))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) base))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) base))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) base))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) base)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) base)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) base)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) base)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))>
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#<alt (log.f64 base)>
#<alt (log.f64 base)>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
Calls

60 calls:

TimeVariablePointExpression
439.0ms
base
@inf
(log (+ 1 (log base)))
19.0ms
im
@-inf
(log (+ 1 (log im)))
18.0ms
base
@-inf
(log (+ 1 (log base)))
18.0ms
im
@inf
(log (+ 1 (log im)))
17.0ms
base
@0
(log (+ 1 (log base)))

rewrite263.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
888×log1p-expm1-u
886×expm1-log1p-u
242×prod-diff
238×log1p-undefine
137×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029224
1384220
23949220
Stop Event
1×node limit
Counts
14 → 511
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
(*.f64 #s(literal 1/2 binary64) (log.f64 im))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 base) (log.f64 im))
(/.f64 (expm1.f64 (log1p.f64 (log.f64 im))) (log.f64 base))
(expm1.f64 (log1p.f64 (log.f64 im)))
(log1p.f64 (log.f64 im))
(/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))
(cbrt.f64 (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (log.f64 base)))) (log.f64 im))
(/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (log.f64 base))))
(expm1.f64 (log1p.f64 (log.f64 base)))
(log1p.f64 (log.f64 base))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 base))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))
(*.f64 (log.f64 im) (/.f64 #s(literal 1/2 binary64) (log.f64 (sqrt.f64 base))))
(*.f64 (log.f64 im) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 base)))))
(*.f64 (log.f64 (sqrt.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 base))))
(*.f64 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 base))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 base)))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 base)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 base)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 base)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 im)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) (log.f64 (sqrt.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 im)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) (/.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 base)))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 base)))) (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 base)))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 im))) (/.f64 (sqrt.f64 (log.f64 (sqrt.f64 im))) (log.f64 (sqrt.f64 base))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 im))) (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 im))) (/.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 base)))))
(*.f64 (*.f64 (log.f64 im) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (sqrt.f64 base)))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 base))) (log.f64 (sqrt.f64 im)))
(*.f64 (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64))) (/.f64 (log.f64 (sqrt.f64 im)) (cbrt.f64 (log.f64 (sqrt.f64 base)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 (sqrt.f64 base)))) (/.f64 (log.f64 (sqrt.f64 im)) (sqrt.f64 (log.f64 (sqrt.f64 base)))))
(*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 (sqrt.f64 base)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (log.f64 (sqrt.f64 base)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64))) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 (sqrt.f64 base)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (log.f64 (sqrt.f64 base)))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 (sqrt.f64 base)))))
(*.f64 (/.f64 (log.f64 im) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 (sqrt.f64 base))))
(*.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (log.f64 (sqrt.f64 base)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 im)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) (log.f64 (sqrt.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 im)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 base)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 im)) #s(literal 2 binary64))) (sqrt.f64 (log.f64 (sqrt.f64 base)))) (/.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) (sqrt.f64 (log.f64 (sqrt.f64 base)))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (sqrt.f64 im))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 (sqrt.f64 im))) (log.f64 (sqrt.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (sqrt.f64 im))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 (sqrt.f64 im))) (cbrt.f64 (log.f64 (sqrt.f64 base)))))
(pow.f64 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 base))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 base)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 base))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 base)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 im))) #s(literal -1 binary64))
(neg.f64 (/.f64 (log.f64 (sqrt.f64 im)) (neg.f64 (log.f64 (sqrt.f64 base)))))
(neg.f64 (/.f64 (*.f64 (log.f64 im) #s(literal -1/2 binary64)) (log.f64 (sqrt.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 base))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (sqrt.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 base)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 base))))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 base))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (sqrt.f64 im)) #s(literal 3 binary64)) (pow.f64 (log.f64 (sqrt.f64 base)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 base)))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 base)))))
(exp.f64 (log.f64 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 base)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 base)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 im)))) #s(literal 1 binary64))
(pow.f64 (log.f64 (sqrt.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 im)) #s(literal 2 binary64)))
(log.f64 (sqrt.f64 im))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 im) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 im))))
(log1p.f64 (-.f64 (sqrt.f64 im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 im))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
(-.f64 (/.f64 (+.f64 (log.f64 im) #s(literal 1 binary64)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (neg.f64 (log.f64 im)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (log.f64 im)))
(*.f64 (sqrt.f64 (log.f64 im)) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 im)) (*.f64 (sqrt.f64 (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 im)))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))) (neg.f64 (log.f64 im)))
(*.f64 (*.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 im)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -2 binary64)))
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(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))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 im)))) #s(literal 1 binary64))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(*.f64 (log.f64 base) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal 1 binary64)))
(*.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal 1 binary64))
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(*.f64 (cbrt.f64 (log.f64 base)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/6 binary64))) (pow.f64 (log.f64 base) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 (neg.f64 (log.f64 base)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)) (+.f64 #s(literal 1 binary64) (log.f64 base)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)) (+.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64)))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(log.f64 base)
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 base #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(log1p.f64 (-.f64 base #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 base) (log.f64 (sqrt.f64 base)))
(fma.f64 (log.f64 (sqrt.f64 base)) #s(literal 1 binary64) (log.f64 (sqrt.f64 base)))
(fma.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64)) (log.f64 (sqrt.f64 base)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (sqrt.f64 base))) (log.f64 (sqrt.f64 base)))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 base))) (sqrt.f64 (log.f64 (sqrt.f64 base))) (log.f64 (sqrt.f64 base)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (log.f64 base))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (log.f64 base)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (log.f64 base)))
(*.f64 (log1p.f64 (log.f64 base)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log1p.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 base))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (log.f64 base))))
(*.f64 (sqrt.f64 (log1p.f64 (log.f64 base))) (sqrt.f64 (log1p.f64 (log.f64 base))))
(pow.f64 (log1p.f64 (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (log.f64 base))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)))
(cbrt.f64 (pow.f64 (log1p.f64 (log.f64 base)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (log.f64 base))))
(exp.f64 (log.f64 (log1p.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (log.f64 base))) #s(literal 1 binary64)))

simplify620.0ms (5.2%)

Algorithm
1×egg-herbie
Rules
918×cube-prod
770×exp-prod
531×times-frac
421×associate-*r*
367×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069216870
1127816362
2581616342
Stop Event
1×node limit
Counts
735 → 443
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) base))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) base))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) base))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) base))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) base)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) base)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) base)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) base)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))
(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) 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 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 im)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 im)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 im)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 im)))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (log.f64 im))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (log.f64 im))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (log.f64 im))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (log.f64 im))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(/.f64 (log.f64 base) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (log.f64 base) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (log.f64 base) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (log.f64 base) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) 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 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(log.f64 im)
(log.f64 im)
(log.f64 im)
(log.f64 im)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
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(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (log.f64 base)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 base))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 base))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 base))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
(-.f64 (/.f64 (+.f64 (log.f64 im) #s(literal 1 binary64)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (neg.f64 (log.f64 im))))
(/.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 im) #s(literal -1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 im) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -2 binary64)))
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(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))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -1 binary64)))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) #s(literal 1 binary64)))
(+.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))
(+.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 base))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 base) #s(literal 2 binary64))) (log.f64 (cbrt.f64 base)))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 base))
(*.f64 (log.f64 base) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (log.f64 base)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/6 binary64))) (pow.f64 (log.f64 base) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 (neg.f64 (log.f64 base)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)) (+.f64 #s(literal 1 binary64) (log.f64 base)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)) (+.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64)))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(log.f64 base)
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 base #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(log1p.f64 (-.f64 base #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 base) (log.f64 (sqrt.f64 base)))
(fma.f64 (log.f64 (sqrt.f64 base)) #s(literal 1 binary64) (log.f64 (sqrt.f64 base)))
(fma.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64)) (log.f64 (sqrt.f64 base)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (sqrt.f64 base))) (log.f64 (sqrt.f64 base)))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 base))) (sqrt.f64 (log.f64 (sqrt.f64 base))) (log.f64 (sqrt.f64 base)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (log.f64 base))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (log.f64 base)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (log.f64 base)))
(*.f64 (log1p.f64 (log.f64 base)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log1p.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 base))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (log.f64 base))))
(*.f64 (sqrt.f64 (log1p.f64 (log.f64 base))) (sqrt.f64 (log1p.f64 (log.f64 base))))
(pow.f64 (log1p.f64 (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (log.f64 base))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)))
(cbrt.f64 (pow.f64 (log1p.f64 (log.f64 base)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (log.f64 base))))
(exp.f64 (log.f64 (log1p.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (log.f64 base))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 (sqrt.f64 base))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 (sqrt.f64 base))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 (sqrt.f64 base))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 (sqrt.f64 base))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 (sqrt.f64 base))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 #s(literal 1/2 binary64) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 (sqrt.f64 base))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 #s(literal 1/2 binary64) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 (sqrt.f64 base))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 #s(literal 1/2 binary64) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 (sqrt.f64 base))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 #s(literal 1/2 binary64) (log.f64 (sqrt.f64 base))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 im) (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) base))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) base))) (log.f64 base)))
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(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base)))
(*.f64 (log.f64 (sqrt.f64 base)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (sqrt.f64 base))) (log.f64 (sqrt.f64 base)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base)))
(*.f64 (log.f64 (sqrt.f64 base)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 base))) (sqrt.f64 (log.f64 (sqrt.f64 base))) (log.f64 (sqrt.f64 base)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base)))
(*.f64 (log.f64 (sqrt.f64 base)) #s(literal 2 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (log.f64 base))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal -1 binary64))
(log.f64 base)
(fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -1 binary64))
(log.f64 base)
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (log.f64 base)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (log1p.f64 (log.f64 base))))
(*.f64 #s(literal 1 binary64) (log1p.f64 (log.f64 base)))
(log1p.f64 (log.f64 base))
(*.f64 (log1p.f64 (log.f64 base)) #s(literal 1 binary64))
(log1p.f64 (log.f64 base))
(*.f64 (cbrt.f64 (log1p.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 base))) #s(literal 2 binary64)))
(log1p.f64 (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (log.f64 base))))
(log1p.f64 (log.f64 base))
(*.f64 (sqrt.f64 (log1p.f64 (log.f64 base))) (sqrt.f64 (log1p.f64 (log.f64 base))))
(log1p.f64 (log.f64 base))
(pow.f64 (log1p.f64 (log.f64 base)) #s(literal 1 binary64))
(log1p.f64 (log.f64 base))
(pow.f64 (cbrt.f64 (log1p.f64 (log.f64 base))) #s(literal 3 binary64))
(log1p.f64 (log.f64 base))
(pow.f64 (pow.f64 (log1p.f64 (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log1p.f64 (log.f64 base))
(pow.f64 (sqrt.f64 (log1p.f64 (log.f64 base))) #s(literal 2 binary64))
(log1p.f64 (log.f64 base))
(sqrt.f64 (pow.f64 (log1p.f64 (log.f64 base)) #s(literal 2 binary64)))
(fabs.f64 (log1p.f64 (log.f64 base)))
(log.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)))
(log1p.f64 (log.f64 base))
(cbrt.f64 (pow.f64 (log1p.f64 (log.f64 base)) #s(literal 3 binary64)))
(log1p.f64 (log.f64 base))
(expm1.f64 (log1p.f64 (log1p.f64 (log.f64 base))))
(exp.f64 (log.f64 (log1p.f64 (log.f64 base))))
(log1p.f64 (log.f64 base))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (log.f64 base))) #s(literal 1 binary64)))
(log1p.f64 (log.f64 base))

eval240.0ms (2%)

Compiler

Compiled 13147 to 2392 computations (81.8% saved)

prune184.0ms (1.5%)

Pruning

25 alts after pruning (16 fresh and 9 done)

PrunedKeptTotal
New9737980
Fresh6915
Picked145
Done156
Total981251006
Accuracy
100.0%
Counts
1006 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))
72.5%
(/.f64 (pow.f64 (sqrt.f64 (log.f64 im)) #s(literal 2 binary64)) (log.f64 base))
98.5%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
88.6%
(/.f64 (+.f64 (log.f64 im) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)))) (log.f64 base))
✓98.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
✓99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓50.5%
(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
✓97.5%
(/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
✓98.7%
(/.f64 (log.f64 im) (log.f64 base))
50.1%
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
✓71.8%
(/.f64 (expm1.f64 (log1p.f64 (log.f64 im))) (log.f64 base))
✓71.8%
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
✓98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
98.5%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 im))))
98.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
98.3%
(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (log.f64 im)))))
98.6%
(-.f64 (/.f64 (+.f64 (log.f64 im) #s(literal 1 binary64)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
74.7%
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
98.5%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal -1 binary64)))
✓98.5%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
98.6%
(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
56.6%
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -2 binary64)))
98.2%
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
98.3%
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
56.2%
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
Compiler

Compiled 841 to 380 computations (54.8% saved)

regimes227.0ms (1.9%)

Counts
57 → 1
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (log.f64 im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal -1 binary64)))
(-.f64 (/.f64 (+.f64 (log.f64 im) #s(literal 1 binary64)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 im))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
(/.f64 (expm1.f64 (log1p.f64 (log.f64 im))) (log.f64 base))
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
(/.f64 (log.f64 im) (expm1.f64 (log1p.f64 (log.f64 base))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -2 binary64)))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64))) (log.f64 base))
(/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (E.f64) (log.f64 (log.f64 im))) (log.f64 base))
(/.f64 (pow.f64 (sqrt.f64 (log.f64 im)) #s(literal 2 binary64)) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (log.f64 base)))) (log.f64 im))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
(/.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 im))) #s(literal 1 binary64)) (log.f64 base))
(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (log.f64 im) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (log.f64 im) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (+.f64 (log.f64 im) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)))) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (log.f64 (log.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (expm1.f64 (log1p.f64 (log.f64 base))))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (expm1.f64 (log1p.f64 (log.f64 base)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 1 binary64))
(/.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))) (log.f64 base))
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (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 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Calls

5 calls:

158.0ms
base
17.0ms
re
16.0ms
im
16.0ms
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
15.0ms
(log.f64 base)
Results
AccuracySegmentsBranch
99.4%1re
99.4%1im
99.4%1base
99.4%1(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.4%1(log.f64 base)
Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes14.0ms (0.1%)

Accuracy

Total -0.6b remaining (-70.2%)

Threshold costs -0.6b (-70.2%)

Counts
7 → 1
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
Outputs
(/.f64 (log.f64 im) (log.f64 base))
Calls

4 calls:

5.0ms
im
3.0ms
re
3.0ms
base
3.0ms
(log.f64 base)
Results
AccuracySegmentsBranch
98.7%1re
98.7%1im
98.7%1base
98.7%1(log.f64 base)
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01651
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))

soundness193.0ms (1.6%)

Rules
584×times-frac
512×fma-neg
490×associate-*r/
437×distribute-rgt-neg-out
435×associate-*l/
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
086674
1185652
2306652
3568398
41055350
51803350
65717350
Stop Event
1×fuel
1×node limit
Compiler

Compiled 341 to 77 computations (77.4% saved)

preprocess69.0ms (0.6%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 272 to 180 computations (33.8% saved)

end0.0ms (0%)

Profiling

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