math.log/2 on complex, real part

Time bar (total: 14.7s)

analyze274.0ms (1.9%)

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 21 computations (34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 192.0ms
ival-add: 67.0ms (34.9% of total)
ival-mult: 67.0ms (34.9% of total)
ival-log: 29.0ms (15.1% of total)
ival-atan2: 11.0ms (5.7% of total)
ival-sqrt: 10.0ms (5.2% of total)
ival-div: 6.0ms (3.1% of total)
const: 2.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

sample2.0s (13.8%)

Results
1.4s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-log: 306.0ms (29.9% of total)
ival-mult: 305.0ms (29.8% of total)
ival-add: 187.0ms (18.3% of total)
ival-atan2: 73.0ms (7.1% of total)
ival-sqrt: 71.0ms (6.9% of total)
ival-div: 58.0ms (5.7% of total)
const: 20.0ms (2% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess219.0ms (1.5%)

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)

explain213.0ms (1.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1220-2(8.974791489538299e-198 6.579713943774599e-158 3.127266693999084e-129)(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
135.0ms512×0valid
Compiler

Compiled 277 to 88 computations (68.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 24.0ms (30.4% of total)
ival-sqrt: 18.0ms (22.8% of total)
ival-add: 14.0ms (17.7% of total)
ival-log: 13.0ms (16.5% of total)
ival-atan2: 4.0ms (5.1% of total)
ival-div: 3.0ms (3.8% of total)
const: 3.0ms (3.8% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 59 to 18 computations (69.5% saved)

prune76.0ms (0.5%)

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)))
▶99.5%
(/.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)

localize915.0ms (6.2%)

Algorithm
4×egg-herbie
Localize:

Found 32 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-diff0
(log.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)) (log.f64 base))
✓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)))
✓accuracy100.0%
(log.f64 (hypot.f64 re im))
✓accuracy99.5%
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
✓accuracy99.4%
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓accuracy99.1%
(*.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))
✓accuracy99.5%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓accuracy100.0%
(log.f64 (hypot.f64 re im))
✓accuracy99.5%
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
✓accuracy99.5%
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
✓accuracy99.1%
(*.f64 (log.f64 base) (log.f64 base))
✓accuracy100.0%
(log.f64 base)
✓accuracy100.0%
(log.f64 (hypot.f64 re im))
✓accuracy99.5%
(/.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)))
Rules
2123×cube-prod
1616×cube-prod
1115×pow-sqr
1006×swap-sqr
955×cube-div
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016101
12895
23495
34395
44395
016161
125121
239115
350115
496115
5218115
6878115
71686115
81812115
91985115
102268115
112659115
123162115
133778115
144054115
154241115
164339115
174444115
184571115
195354115
206469115
216957115
227060115
237163115
247266115
257387115
267498115
277745115
287784115
297803115
307817115
01480
11880
22180
32380
016157
128137
242131
353131
4106131
5277131
61008131
72010131
82138131
92303131
102586131
112968131
123452131
134055131
144561131
154793131
164906131
175012131
185151131
195649131
206644131
217506131
227647131
237754131
247861131
257968131
Stop Event
1×node limit
1×saturated
1×node limit
1×saturated
Calls
Call 1
Inputs
(/.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 (*.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 (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))
Call 2
Inputs
(/.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
Outputs
(/.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
Call 3
Inputs
(*.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))
Outputs
(*.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))
Call 4
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
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
Results
59.0ms256×0valid
Compiler

Compiled 124 to 19 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 8.0ms (28.7% of total)
ival-log: 8.0ms (28.7% of total)
ival-mult: 6.0ms (21.5% of total)
ival-hypot: 5.0ms (17.9% of total)
const: 1.0ms (3.6% of total)
backward-pass: 0.0ms (0% of total)

series143.0ms (1%)

Counts
11 → 268
Calls
Call 1
Inputs
#<alt (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 base))>
#<alt (log.f64 (hypot.f64 re im))>
#<alt (log.f64 base)>
#<alt (*.f64 (log.f64 base) (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 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))>
#<alt (hypot.f64 re im)>
#<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)))>
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 (/.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 #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 (/.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 (/.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 (/.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 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)))>
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Calls

69 calls:

TimeVariablePointExpression
54.0ms
base
@0
(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
27.0ms
base
@-inf
(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
7.0ms
base
@inf
(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
5.0ms
re
@-inf
(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
4.0ms
re
@inf
(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))

rewrite400.0ms (2.7%)

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)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(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 base) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(hypot.f64 re im)
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
Outputs
(-.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 (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 #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 #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 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 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 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (log.f64 base)))
(*.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 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (sqrt.f64 (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 #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)) (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))))
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(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 (hypot.f64 re im))) #s(literal 1 binary64))
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(*.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)))
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(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))
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(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 (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 (/.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)))

simplify370.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
717×times-frac
459×fma-define
396×associate-/r*
328×*-commutative
327×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084829619
1202628829
2781028829
Stop Event
1×node limit
Counts
703 → 572
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
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(*.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)))
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 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (log.f64 base)) (/.f64 #s(literal 1/2 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 (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 (/.f64 (pow.f64 re #s(literal 2 binary64)) (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)))
(*.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 (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) (pow.f64 re #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (log.f64 base))))) (/.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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(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1 binary64)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))

eval1.1s (7.7%)

Compiler

Compiled 33482 to 15760 computations (52.9% saved)

prune429.0ms (2.9%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New1529161545
Fresh000
Picked314
Done000
Total1532171549
Accuracy
100.0%
Counts
1549 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
98.8%
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
▶99.5%
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (log.f64 base))
▶99.5%
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base))))
✓99.5%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
49.9%
(/.f64 (log.f64 (hypot.f64 re im)) (expm1.f64 (log1p.f64 (log.f64 base))))
49.9%
(/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (log.f64 (log.f64 base))))
99.1%
(/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
▶99.0%
(/.f64 (log.f64 im) (log.f64 base))
76.4%
(/.f64 (expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
▶76.4%
(/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
▶49.9%
(*.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
98.8%
(*.f64 (log.f64 im) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
98.8%
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
99.1%
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
74.4%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
Compiler

Compiled 400 to 293 computations (26.8% saved)

localize175.0ms (1.2%)

Algorithm
5×egg-herbie
Localize:

Found 38 expressions of interest:

NewMetricScoreProgram
cost-diff0
(hypot.f64 re im)
cost-diff0
(log.f64 (hypot.f64 re im))
✓cost-diff12736
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
✓cost-diff12864
(*.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
cost-diff0
(log.f64 (hypot.f64 re im))
✓cost-diff0
(log.f64 (log.f64 (hypot.f64 re im)))
✓cost-diff12800
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
✓cost-diff12800
(/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
✓cost-diff0
(sqrt.f64 (hypot.f64 re im))
✓cost-diff0
(log.f64 (sqrt.f64 (hypot.f64 re im)))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im))))
✓cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (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))))
accuracy100.0%
(log.f64 base)
✓accuracy100.0%
(log.f64 (log.f64 base))
✓accuracy99.8%
(*.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
✓accuracy99.4%
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
accuracy100.0%
(log.f64 base)
✓accuracy100.0%
(log.f64 (log.f64 (hypot.f64 re im)))
✓accuracy99.8%
(/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
✓accuracy99.3%
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
✓accuracy100.0%
(log.f64 (sqrt.f64 (hypot.f64 re im)))
accuracy100.0%
(log.f64 base)
✓accuracy100.0%
(sqrt.f64 (hypot.f64 re im))
✓accuracy99.8%
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (log.f64 base))
✓accuracy100.0%
(log.f64 im)
accuracy100.0%
(log.f64 base)
✓accuracy99.8%
(/.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))
✓accuracy99.8%
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base))))
Rules
4×exp-diff
4×fma-define
4×exp-sum
3×1-exp
3×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017121
124121
229121
331121
01145
017139
124139
230139
333139
016118
121118
224118
326118
017140
129128
246122
354122
461122
567122
674122
780122
881122
Stop Event
1×saturated
1×saturated
1×saturated
1×saturated
1×saturated
Calls
Call 1
Inputs
(*.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(neg.f64 (log.f64 (log.f64 base)))
(log.f64 (log.f64 base))
(log.f64 base)
base
Outputs
(*.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (neg.f64 (log.f64 (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
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(neg.f64 (log.f64 (log.f64 base)))
(log.f64 (log.f64 base))
(log.f64 base)
base
Call 2
Inputs
(/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
(log.f64 (log.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(log.f64 base)
base
Outputs
(/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
(log.f64 (hypot.f64 re im))
(log.f64 (log.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(log.f64 base)
base
Call 3
Inputs
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (log.f64 base))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im))))
#s(literal 2 binary64)
(log.f64 (sqrt.f64 (hypot.f64 re im)))
(sqrt.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(log.f64 base)
base
Outputs
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (log.f64 base))
(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 #s(literal 2 binary64) (log.f64 base)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im))))
#s(literal 2 binary64)
(log.f64 (sqrt.f64 (hypot.f64 re im)))
(sqrt.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(log.f64 base)
base
Call 4
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
Outputs
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
Call 5
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
Outputs
(/.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
Results
54.0ms159×0invalid
38.0ms97×0valid
Compiler

Compiled 147 to 32 computations (78.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-log: 22.0ms (41.5% of total)
ival-mult: 9.0ms (17% of total)
ival-div: 7.0ms (13.2% of total)
ival-hypot: 5.0ms (9.4% of total)
ival-exp: 4.0ms (7.5% of total)
ival-sqrt: 4.0ms (7.5% of total)
const: 1.0ms (1.9% of total)
ival-neg: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series449.0ms (3.1%)

Counts
16 → 324
Calls
Call 1
Inputs
#<alt (/.f64 (log.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base))))>
#<alt (log.f64 (sqrt.f64 base))>
#<alt (sqrt.f64 base)>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (log.f64 im)>
#<alt (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (log.f64 base))>
#<alt (sqrt.f64 (hypot.f64 re im))>
#<alt (log.f64 (sqrt.f64 (hypot.f64 re im)))>
#<alt (exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))>
#<alt (/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))>
#<alt (log.f64 (log.f64 (hypot.f64 re im)))>
#<alt (exp.f64 (neg.f64 (log.f64 (log.f64 base))))>
#<alt (*.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))>
#<alt (log.f64 (log.f64 base))>
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base)))>
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im))))>
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))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 re) (log.f64 (sqrt.f64 base))))>
#<alt (+.f64 (*.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 re) (log.f64 (sqrt.f64 base)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 re) (log.f64 (sqrt.f64 base)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 (sqrt.f64 base))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 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 re) (log.f64 (sqrt.f64 base)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 (sqrt.f64 base))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 (sqrt.f64 base))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 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) im)) (log.f64 (sqrt.f64 base))))>
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#<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 (*.f64 #s(literal 2 binary64) (+.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 2 binary64) (+.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 2 binary64) (+.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 2 binary64) (+.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 2 binary64) (+.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 2 binary64) (+.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 2 binary64) (+.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 2 binary64) (+.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 2 binary64) (log.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 im))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 im)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.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 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.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 2 binary64) (log.f64 (sqrt.f64 re)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 re))))>
#<alt (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 24 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 im #s(literal 4 binary64)))))) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 re)))))>
#<alt (+.f64 (*.f64 #s(literal 1/360 binary64) (/.f64 (+.f64 (*.f64 #s(literal -180 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 im #s(literal 4 binary64)))))) (+.f64 (*.f64 #s(literal 15/4 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 720 binary64) (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 im #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 6 binary64)))))))) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 24 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 im #s(literal 4 binary64)))))) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 re))))))>
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 24 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 im #s(literal 4 binary64)))))) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal 1/360 binary64) (/.f64 (+.f64 (*.f64 #s(literal -180 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 im #s(literal 4 binary64)))))) (+.f64 (*.f64 #s(literal 15/4 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 720 binary64) (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 im #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 6 binary64)))))))) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 24 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 im #s(literal 4 binary64)))))) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 re))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 re)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 re)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 re)))) (*.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)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))))>
#<alt (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 24 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 re #s(literal 4 binary64)))))) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im)))))>
#<alt (+.f64 (*.f64 #s(literal 1/360 binary64) (/.f64 (+.f64 (*.f64 #s(literal -180 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 re #s(literal 4 binary64)))))) (+.f64 (*.f64 #s(literal 15/4 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 720 binary64) (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 re #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 6 binary64)))))))) (pow.f64 im #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 24 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 re #s(literal 4 binary64)))))) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))))))>
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 24 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 re #s(literal 4 binary64)))))) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal 1/360 binary64) (/.f64 (+.f64 (*.f64 #s(literal -180 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 re #s(literal 4 binary64)))))) (+.f64 (*.f64 #s(literal 15/4 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 720 binary64) (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 re #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 6 binary64)))))))) (pow.f64 im #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 24 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 re #s(literal 4 binary64)))))) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 binary64))))))))>
Calls

90 calls:

TimeVariablePointExpression
112.0ms
base
@-inf
(exp (neg (log (log base))))
90.0ms
base
@0
(/ (* 2 (log (sqrt (sqrt (+ (* re re) (* im im)))))) (log base))
34.0ms
base
@0
(/ (log (sqrt (+ (* re re) (* im im)))) (* 2 (log (sqrt base))))
22.0ms
im
@0
(/ (log im) (log base))
21.0ms
base
@-inf
(/ (log (sqrt (+ (* re re) (* im im)))) (* 2 (log (sqrt base))))

rewrite211.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
931×log1p-expm1-u
540×expm1-log1p-u
307×prod-diff
190×add-exp-log
182×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031342
1453290
25449290
Stop Event
1×node limit
Counts
16 → 533
Calls
Call 1
Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base))))
(log.f64 (sqrt.f64 base))
(sqrt.f64 base)
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (log.f64 base))
(sqrt.f64 (hypot.f64 re im))
(log.f64 (sqrt.f64 (hypot.f64 re im)))
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
(log.f64 (log.f64 (hypot.f64 re im)))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(*.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
(log.f64 (log.f64 base))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im))))
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 2 binary64) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 base))))
(*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 #s(literal 2 binary64) (log.f64 base)))
(*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) (log.f64 base)))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.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 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #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 (sqrt.f64 (log.f64 base)) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))
(*.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))) (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 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(*.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 base)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 base))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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)))
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(-.f64 (exp.f64 (log1p.f64 (log.f64 (log.f64 (hypot.f64 re im))))) #s(literal 1 binary64))
(*.f64 (log.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (log.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(pow.f64 (log.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(log1p.f64 (-.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (log.f64 (hypot.f64 re im)))) #s(literal 1 binary64)))
(+.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))
(+.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 (exp.f64 (log1p.f64 (log.f64 base))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base)))
(*.f64 (log.f64 (sqrt.f64 base)) #s(literal 2 binary64))
(*.f64 (log.f64 base) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 base))
(*.f64 (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))) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 base))) (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 base))))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (log.f64 (sqrt.f64 base)))) (sqrt.f64 (log.f64 (sqrt.f64 base))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (log.f64 (sqrt.f64 base)))
(/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 base))) #s(literal 2 binary64))
(pow.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 (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 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 base))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 base)))) (sqrt.f64 (log.f64 (log.f64 base))))
(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)))
(-.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 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.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 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (neg.f64 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (neg.f64 (log.f64 (sqrt.f64 base))))
(/.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)) (log.f64 (sqrt.f64 base))) #s(literal 2 binary64))
(/.f64 (/.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) #s(literal 1 binary64)) (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)) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (/.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 base))))
(/.f64 (/.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 (sqrt.f64 base)))) (sqrt.f64 (log.f64 (sqrt.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (cbrt.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))
(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) (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))))
(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 (-.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 (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 (cbrt.f64 (pow.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 0 binary64) (log.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 (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 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (log.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 base))) (sqrt.f64 (log.f64 (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 (log.f64 base)))))
(*.f64 #s(literal -1 binary64) (log.f64 (log.f64 base)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 base))))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 base)))) (sqrt.f64 (log.f64 (log.f64 base))))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 base))))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 (log.f64 base)))) (sqrt.f64 (log.f64 (log.f64 base))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (log.f64 base))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) (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))
(neg.f64 (log.f64 (log.f64 base)))
(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)))
(+.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))
(+.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 (exp.f64 (log1p.f64 (log.f64 base))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (log.f64 (sqrt.f64 base)))
(/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 base))) #s(literal 2 binary64))
(pow.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 (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 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 base))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 base)))) (sqrt.f64 (log.f64 (log.f64 base))))
(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)))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(+.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 re im)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) #s(literal 1 binary64))
(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))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(log.f64 (hypot.f64 re im))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #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))))

simplify438.0ms (3%)

Algorithm
1×egg-herbie
Rules
730×times-frac
453×associate-+r+
434×*-commutative
389×distribute-lft-in
381×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0151242480
1374940456
Stop Event
1×node limit
Counts
857 → 1000
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)))))))
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(*.f64 (cbrt.f64 (pow.f64 (log.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(pow.f64 (log.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(log1p.f64 (-.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (log.f64 (hypot.f64 re im)))) #s(literal 1 binary64)))
(+.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))
(+.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 (exp.f64 (log1p.f64 (log.f64 base))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base)))
(*.f64 (log.f64 (sqrt.f64 base)) #s(literal 2 binary64))
(*.f64 (log.f64 base) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 base))
(*.f64 (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))) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 base))) (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 base))))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (log.f64 (sqrt.f64 base)))) (sqrt.f64 (log.f64 (sqrt.f64 base))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (log.f64 (sqrt.f64 base)))
(/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 base))) #s(literal 2 binary64))
(pow.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 (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 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 base))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 base)))) (sqrt.f64 (log.f64 (log.f64 base))))
(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)))
(-.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 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.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 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (neg.f64 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (neg.f64 (log.f64 (sqrt.f64 base))))
(/.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)) (log.f64 (sqrt.f64 base))) #s(literal 2 binary64))
(/.f64 (/.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) #s(literal 1 binary64)) (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)) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (/.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 base))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 base))))
(/.f64 (/.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 (sqrt.f64 base)))) (sqrt.f64 (log.f64 (sqrt.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (cbrt.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))
(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) (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))))
(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 (-.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 (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 (cbrt.f64 (pow.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 0 binary64) (log.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 (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 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (log.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 base))) (sqrt.f64 (log.f64 (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 (log.f64 base)))))
(*.f64 #s(literal -1 binary64) (log.f64 (log.f64 base)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 base))))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 base)))) (sqrt.f64 (log.f64 (log.f64 base))))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 base))))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 (log.f64 base)))) (sqrt.f64 (log.f64 (log.f64 base))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (log.f64 base))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) (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))
(neg.f64 (log.f64 (log.f64 base)))
(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)))
(+.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))
(+.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 (exp.f64 (log1p.f64 (log.f64 base))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (log.f64 (sqrt.f64 base)))
(/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 base))) #s(literal 2 binary64))
(pow.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 (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 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 base))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 base)))) (sqrt.f64 (log.f64 (log.f64 base))))
(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)))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(+.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 re im)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) #s(literal 1 binary64))
(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))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(log.f64 (hypot.f64 re im))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #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))))
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 (/.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) (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))))))))
(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 (/.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) (/.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 (*.f64 #s(literal 1/12 binary64) (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 #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)) (fma.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)))))))
(*.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))))
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(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 im #s(literal 2 binary64))) (*.f64 (log.f64 (sqrt.f64 base)) (pow.f64 re #s(literal 2 binary64)))))
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(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 im re))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 im re))))
(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 (hypot.f64 re im))))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (log.f64 (hypot.f64 im re)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(fabs.f64 (log.f64 (hypot.f64 im re)))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) #s(literal 1 binary64))))
(log1p.f64 (+.f64 (hypot.f64 re im) #s(literal -1 binary64)))
(log1p.f64 (+.f64 (hypot.f64 im re) #s(literal -1 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 im re))))
(log1p.f64 (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(log1p.f64 (+.f64 (hypot.f64 re im) #s(literal -1 binary64)))
(log1p.f64 (+.f64 (hypot.f64 im re) #s(literal -1 binary64)))
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))

eval555.0ms (3.8%)

Compiler

Compiled 42945 to 25359 computations (41% saved)

prune629.0ms (4.3%)

Pruning

25 alts after pruning (21 fresh and 4 done)

PrunedKeptTotal
New1865141879
Fresh4711
Picked235
Done011
Total1871251896
Accuracy
100.0%
Counts
1896 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
76.6%
(/.f64 (pow.f64 (sqrt.f64 (log.f64 im)) #s(literal 2 binary64)) (log.f64 base))
76.1%
(/.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 im))) #s(literal 1 binary64)) (log.f64 base))
98.8%
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
▶99.4%
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))) (log.f64 base))
✓99.5%
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (log.f64 base))
99.0%
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (log.f64 base))
99.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
✓99.5%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
99.1%
(/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
49.8%
(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
✓99.0%
(/.f64 (log.f64 im) (log.f64 base))
49.5%
(/.f64 (log.f64 im) (expm1.f64 (log1p.f64 (log.f64 base))))
49.5%
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
▶98.6%
(/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
▶76.1%
(/.f64 (expm1.f64 (log1p.f64 (log.f64 im))) (log.f64 base))
✓76.4%
(/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
76.0%
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
98.6%
(/.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64))) (log.f64 base))
98.8%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
▶98.8%
(*.f64 (log.f64 im) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
▶98.8%
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
49.5%
(*.f64 (log.f64 im) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
99.1%
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
74.4%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
Compiler

Compiled 529 to 408 computations (22.9% saved)

localize901.0ms (6.1%)

Algorithm
5×egg-herbie
Localize:

Found 40 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 base)
cost-diff0
(log.f64 im)
✓cost-diff12928
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
✓cost-diff13056
(*.f64 (log.f64 im) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
✓cost-diff0
(pow.f64 (log.f64 base) #s(literal 3 binary64))
cost-diff0
(log.f64 im)
✓cost-diff12864
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))
✓cost-diff12864
(/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
cost-diff0
(log.f64 base)
✓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 base)
cost-diff0
(/.f64 #s(literal 1 binary64) (log.f64 base))
cost-diff0
(log.f64 im)
✓cost-diff128
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))
✓cost-diff384
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))))
✓cost-diff384
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))) (log.f64 base))
accuracy100.0%
(log.f64 base)
✓accuracy99.6%
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
✓accuracy99.5%
(*.f64 (log.f64 im) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
accuracy99.3%
(*.f64 (log.f64 base) (log.f64 base))
accuracy100.0%
(log.f64 base)
✓accuracy99.6%
(/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
✓accuracy99.4%
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))
✓accuracy99.1%
(pow.f64 (log.f64 base) #s(literal 3 binary64))
accuracy100.0%
(log.f64 base)
✓accuracy100.0%
(log1p.f64 (log.f64 im))
✓accuracy99.6%
(/.f64 (expm1.f64 (log1p.f64 (log.f64 im))) (log.f64 base))
✓accuracy98.6%
(expm1.f64 (log1p.f64 (log.f64 im)))
accuracy100.0%
(log.f64 im)
accuracy100.0%
(log.f64 base)
accuracy99.7%
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓accuracy99.5%
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
accuracy100.0%
(log.f64 base)
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))
✓accuracy99.7%
(/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))
✓accuracy99.6%
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))) (log.f64 base))
Rules
3149×associate-*r/
2112×cube-prod
1115×pow-sqr
1063×associate-/r/
946×cube-div
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019181
136163
254145
382145
4224145
5973145
63200145
73387145
83387145
94789145
104862145
114862145
124862145
135276145
145276145
155276145
01366
12160
22460
33160
43160
01389
11889
23183
34165
45365
59965
621265
752365
8125365
9253365
10594265
11761665
01468
11868
013126
11886
22980
33880
48480
520380
685280
7164680
8177280
9194180
10222380
11261880
12312080
13373280
14400880
15419180
16428980
17439480
18452180
19530780
20641780
21690480
22700780
23711080
24721380
25733480
26744580
27769280
28773180
29775080
30776480
Stop Event
1×node limit
1×saturated
1×node limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(*.f64 (log.f64 im) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(log.f64 im)
im
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
(log.f64 base)
base
(*.f64 (log.f64 base) (log.f64 base))
Outputs
(*.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 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
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))
Call 2
Inputs
(/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(log.f64 im)
im
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(log.f64 base)
base
#s(literal 3 binary64)
Outputs
(/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(log.f64 base)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(log.f64 base)
base
#s(literal 3 binary64)
Call 3
Inputs
(/.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
Outputs
(/.f64 (expm1.f64 (log1p.f64 (log.f64 im))) (log.f64 base))
(/.f64 (+.f64 (log.f64 im) #s(literal 0 binary64)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(expm1.f64 (log1p.f64 (log.f64 im)))
(+.f64 (log.f64 im) #s(literal 0 binary64))
(log.f64 im)
(log1p.f64 (log.f64 im))
(log.f64 im)
(expm1.f64 (log1p.f64 (log.f64 im)))
(+.f64 (log.f64 im) #s(literal 0 binary64))
im
(log.f64 base)
base
Call 4
Inputs
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(log.f64 im)
im
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
Outputs
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
Call 5
Inputs
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))) (log.f64 base))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(log.f64 base)
base
Outputs
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))) (log.f64 base))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (hypot.f64 re im))) (log.f64 base)))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (hypot.f64 re im))))
(*.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (hypot.f64 re im))))
(*.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))
(hypot.f64 re im)
re
im
(log.f64 base)
base
Results
99.0ms199×0valid
24.0ms57×0invalid
Compiler

Compiled 147 to 51 computations (65.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-div: 21.0ms (25.6% of total)
ival-pow: 21.0ms (25.6% of total)
ival-log: 12.0ms (14.6% of total)
ival-mult: 10.0ms (12.2% of total)
ival-hypot: 7.0ms (8.5% of total)
ival-expm1: 3.0ms (3.7% of total)
ival-cbrt: 3.0ms (3.7% of total)
ival-log1p: 3.0ms (3.7% of total)
const: 2.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

series122.0ms (0.8%)

Counts
13 → 260
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))) (log.f64 base))>
#<alt (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))>
#<alt (*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))>
#<alt (expm1.f64 (log1p.f64 (log.f64 im)))>
#<alt (/.f64 (expm1.f64 (log1p.f64 (log.f64 im))) (log.f64 base))>
#<alt (log1p.f64 (log.f64 im))>
#<alt (pow.f64 (log.f64 base) #s(literal 3 binary64))>
#<alt (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))>
#<alt (/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))>
#<alt (*.f64 (log.f64 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 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))))>
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))))))>
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#<alt (log.f64 base)>
#<alt (log.f64 base)>
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#<alt (log.f64 base)>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))>
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#<alt (log.f64 re)>
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#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
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#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.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)))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))>
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#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.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)))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
Calls

66 calls:

TimeVariablePointExpression
37.0ms
im
@inf
(log (+ 1 (log im)))
20.0ms
im
@-inf
(log (+ 1 (log im)))
17.0ms
im
@0
(log (+ 1 (log im)))
2.0ms
base
@0
(/ (* 2 (/ 1 (/ 2 (log (sqrt (+ (* re re) (* im im))))))) (log base))
2.0ms
re
@inf
(/ 2 (log (sqrt (+ (* re re) (* im im)))))

rewrite203.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1027×log1p-expm1-u
577×expm1-log1p-u
212×prod-diff
165×pow1
162×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032270
1463233
25245233
Stop Event
1×node limit
Counts
13 → 455
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))) (log.f64 base))
(/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(expm1.f64 (log1p.f64 (log.f64 im)))
(/.f64 (expm1.f64 (log1p.f64 (log.f64 im))) (log.f64 base))
(log1p.f64 (log.f64 im))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(*.f64 (log.f64 im) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 #s(literal 1 binary64) (/.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)))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (log.f64 base)))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (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 (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 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (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 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 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 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (log.f64 base))) (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (log.f64 base)))
(*.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (cbrt.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 (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)))
(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 (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 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))) #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -2 binary64) (log.f64 (hypot.f64 re im))))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)))
(*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (log.f64 (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 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))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (hypot.f64 re im)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (hypot.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 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 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 im))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.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) (sqrt.f64 (log.f64 base))) (sqrt.f64 (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) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (log.f64 im) #s(literal -1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (log.f64 base)) (log.f64 base))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (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 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 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))))
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(*.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 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(*.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.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 (log.f64 im) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 (log.f64 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 im) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
(*.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 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (cbrt.f64 (pow.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)))
(*.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)))
(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 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 im) (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 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 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 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 im))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.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) (sqrt.f64 (log.f64 base))) (sqrt.f64 (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) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (log.f64 im) #s(literal -1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (log.f64 base)) (log.f64 base))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (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 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 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 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 (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 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal -1/3 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 #s(literal -1 binary64) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(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 (log.f64 base) #s(literal 6 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 #s(literal 0 binary64) (log.f64 (hypot.f64 re im)))
(+.f64 (log.f64 (cbrt.f64 (pow.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 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (log.f64 (hypot.f64 re im))))
(/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))))
(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)))
(log.f64 (hypot.f64 re im))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #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)))

simplify634.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
678×times-frac
674×fma-define
450×associate-*r/
341×associate-*l/
304×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
011564294992260
127744294991462
Stop Event
1×node limit
Counts
715 → 683
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)))
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(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (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) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (log.f64 im) #s(literal -1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (log.f64 base)) (log.f64 base))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (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 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 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 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 (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 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal -1/3 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 #s(literal -1 binary64) (log.f64 base)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(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 (log.f64 base) #s(literal 6 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 #s(literal 0 binary64) (log.f64 (hypot.f64 re im)))
(+.f64 (log.f64 (cbrt.f64 (pow.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 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (log.f64 (hypot.f64 re im))))
(/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))))
(/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))))
(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)))
(log.f64 (hypot.f64 re im))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #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)))
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)))
(+.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 #s(literal 1/2 binary64) (*.f64 (log.f64 base) (pow.f64 im #s(literal 2 binary64))))) (/.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 (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 #s(literal -1/4 binary64) (/.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #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 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (log.f64 base)) (*.f64 (/.f64 #s(literal 1/720 binary64) (log.f64 base)) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 re #s(literal 6 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 #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 (*.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 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (log.f64 base))) (/.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)))))))
(-.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 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (log.f64 base)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
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(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64)))
(/.f64 (log.f64 im) (log.f64 base))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 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) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(/.f64 #s(literal 1 binary64) (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 (*.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (cbrt.f64 (log.f64 base)))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (cbrt.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 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (cbrt.f64 (log.f64 base)))
(/.f64 (cbrt.f64 (pow.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)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.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 #s(literal 1 binary64) (log.f64 base))
(*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.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 #s(literal 1 binary64) (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 #s(literal 1 binary64) (log.f64 base))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base))
(/.f64 #s(literal 1 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 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.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 (sqrt.f64 (log.f64 base)) #s(literal -2 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 (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 (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 (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 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(/.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 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 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 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)))) (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))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(/.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(neg.f64 (/.f64 (log.f64 base) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.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)))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 6 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))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(+.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (hypot.f64 im re))))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 im re))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 im re))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (log.f64 (hypot.f64 re im))))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))) (sqrt.f64 (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(fabs.f64 (log.f64 (hypot.f64 im re)))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) #s(literal 1 binary64))))
(log1p.f64 (+.f64 (hypot.f64 re im) #s(literal -1 binary64)))
(log1p.f64 (+.f64 (hypot.f64 im re) #s(literal -1 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 im re))))
(log1p.f64 (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(log1p.f64 (+.f64 (hypot.f64 re im) #s(literal -1 binary64)))
(log1p.f64 (+.f64 (hypot.f64 im re) #s(literal -1 binary64)))
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))

eval969.0ms (6.6%)

Compiler

Compiled 22151 to 12409 computations (44% saved)

prune405.0ms (2.8%)

Pruning

20 alts after pruning (13 fresh and 7 done)

PrunedKeptTotal
New121571222
Fresh10616
Picked235
Done044
Total1227201247
Accuracy
100.0%
Counts
1247 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.8%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
46.5%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))
98.8%
(/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
98.9%
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 im)))) (log.f64 base))
✓99.5%
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (log.f64 base))
▶99.0%
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (log.f64 base))
▶99.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
✓99.5%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓99.0%
(/.f64 (log.f64 im) (log.f64 base))
49.5%
(/.f64 (log.f64 im) (expm1.f64 (log1p.f64 (log.f64 base))))
▶49.5%
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
✓98.6%
(/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
✓76.1%
(/.f64 (expm1.f64 (log1p.f64 (log.f64 im))) (log.f64 base))
✓76.4%
(/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
76.0%
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
▶98.8%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
98.8%
(-.f64 (/.f64 (+.f64 (log.f64 im) #s(literal 1 binary64)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
▶97.5%
(*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓98.8%
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
98.6%
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
Compiler

Compiled 376 to 297 computations (21% saved)

localize250.0ms (1.7%)

Algorithm
5×egg-herbie
Localize:

Found 40 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 im)
✓cost-diff0
(cbrt.f64 (log.f64 im))
✓cost-diff12864
(pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64))
✓cost-diff12992
(*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
cost-diff0
(log.f64 (log.f64 base))
cost-diff0
(log.f64 im)
✓cost-diff12800
(exp.f64 (log.f64 (log.f64 base)))
✓cost-diff12800
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
✓cost-diff0
(sqrt.f64 im)
✓cost-diff0
(log.f64 (sqrt.f64 im))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im)))
✓cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.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)))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓accuracy99.7%
(*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓accuracy99.6%
(cbrt.f64 (log.f64 im))
✓accuracy99.4%
(pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64))
accuracy100.0%
(log.f64 base)
accuracy100.0%
(log.f64 (log.f64 base))
✓accuracy99.7%
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
✓accuracy99.2%
(exp.f64 (log.f64 (log.f64 base)))
✓accuracy100.0%
(sqrt.f64 im)
✓accuracy100.0%
(log.f64 (sqrt.f64 im))
accuracy100.0%
(log.f64 base)
✓accuracy99.7%
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (log.f64 base))
accuracy100.0%
(log.f64 im)
accuracy100.0%
(log.f64 base)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
✓accuracy99.7%
(/.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)))
Rules
11×associate-*r*
9×associate-*l*
8×*-commutative
4×*-rgt-identity
4×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01482
11782
22082
32182
01373
12073
22367
32767
43767
53767
01486
11786
22086
32186
01365
11465
01687
12881
24381
36381
47081
Stop Event
1×saturated
1×saturated
1×saturated
1×saturated
1×saturated
Calls
Call 1
Inputs
(*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64))
(cbrt.f64 (log.f64 im))
(log.f64 im)
im
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
Outputs
(*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64))
(log.f64 im)
(cbrt.f64 (log.f64 im))
(log.f64 im)
im
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
Call 2
Inputs
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
(log.f64 im)
im
(exp.f64 (log.f64 (log.f64 base)))
(log.f64 (log.f64 base))
(log.f64 base)
base
Outputs
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(exp.f64 (log.f64 (log.f64 base)))
(log.f64 base)
(log.f64 (log.f64 base))
(log.f64 base)
base
Call 3
Inputs
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (log.f64 base))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im)))
#s(literal 2 binary64)
(log.f64 (sqrt.f64 im))
(sqrt.f64 im)
im
(log.f64 base)
base
Outputs
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (log.f64 base))
(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im)))
#s(literal 2 binary64)
(log.f64 (sqrt.f64 im))
(sqrt.f64 im)
im
(log.f64 base)
base
Call 4
Inputs
(/.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
Outputs
(/.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) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.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
Call 5
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
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 #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
Results
49.0ms130×0valid
115.0ms126×0invalid
Compiler

Compiled 118 to 41 computations (65.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-log: 86.0ms (67% of total)
ival-div: 13.0ms (10.1% of total)
ival-mult: 9.0ms (7% of total)
ival-pow: 9.0ms (7% of total)
ival-sqrt: 4.0ms (3.1% of total)
ival-exp: 2.0ms (1.6% of total)
ival-cbrt: 2.0ms (1.6% of total)
const: 2.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series453.0ms (3.1%)

Counts
13 → 196
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))>
#<alt (/.f64 (log.f64 base) (log.f64 im))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))>
#<alt (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (log.f64 base))>
#<alt (log.f64 (sqrt.f64 im))>
#<alt (sqrt.f64 im)>
#<alt (exp.f64 (log.f64 (log.f64 base)))>
#<alt (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))>
#<alt (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64))>
#<alt (cbrt.f64 (log.f64 im))>
#<alt (*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))>
#<alt (*.f64 #s(literal 1/2 binary64) (log.f64 im))>
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im)))>
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 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 im)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 im)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 im)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 im)))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (log.f64 im))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (log.f64 im))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (log.f64 im))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (log.f64 im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (/.f64 (log.f64 base) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))>
#<alt (/.f64 (log.f64 base) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))>
#<alt (/.f64 (log.f64 base) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))>
#<alt (/.f64 (log.f64 base) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))>
#<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 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 base)))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 base)))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 base)))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 base)))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base)))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base)))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base)))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base)))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<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 (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 (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 im)>
#<alt (log.f64 im)>
#<alt (log.f64 im)>
#<alt (log.f64 im)>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (cbrt.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))>
#<alt (cbrt.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))>
#<alt (cbrt.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))>
#<alt (cbrt.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))>
#<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 (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 #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)))))>
#<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)))))>
#<alt (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))))>
#<alt (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))))>
#<alt (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))))>
#<alt (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))))>
#<alt (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))>
#<alt (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))>
#<alt (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))>
#<alt (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))>
Calls

57 calls:

TimeVariablePointExpression
352.0ms
base
@-inf
(/ (* 2 (log (sqrt im))) (log base))
22.0ms
im
@-inf
(/ (* 2 (log (sqrt im))) (log base))
19.0ms
im
@0
(/ (* 2 (log (sqrt im))) (log base))
13.0ms
im
@inf
(/ (* 2 (log (sqrt im))) (log base))
10.0ms
im
@0
(/ (* 1/2 (log im)) (log (sqrt base)))

rewrite205.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
923×log1p-expm1-u
923×expm1-log1p-u
153×add-exp-log
151×pow1
139×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031204
1431202
24800202
Stop Event
1×node limit
Counts
13 → 502
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
(/.f64 (log.f64 base) (log.f64 im))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (log.f64 base))
(log.f64 (sqrt.f64 im))
(sqrt.f64 im)
(exp.f64 (log.f64 (log.f64 base)))
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
(pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64))
(cbrt.f64 (log.f64 im))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 #s(literal 1/2 binary64) (log.f64 im))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im)))
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 (/.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 (log.f64 (sqrt.f64 im)) (/.f64 #s(literal 1 binary64) (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 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) (log.f64 (sqrt.f64 base))))
(*.f64 (pow.f64 (cbrt.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 1/2 binary64) (cbrt.f64 (pow.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) (sqrt.f64 (log.f64 (sqrt.f64 base)))) (/.f64 #s(literal 1/2 binary64) (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) (cbrt.f64 (pow.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 #s(literal 1 binary64) (cbrt.f64 (pow.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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (pow.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 (pow.f64 (cbrt.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))) (cbrt.f64 (pow.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))))
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(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 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 im)))
(+.f64 #s(literal 0 binary64) (log.f64 im))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (log.f64 (cbrt.f64 im)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 im))) #s(literal 1 binary64))
(*.f64 (log.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 im))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im)))
(*.f64 (log.f64 (sqrt.f64 im)) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (log.f64 im)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 im)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 im) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (log.f64 im) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 im))) (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 im))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 im)))
(*.f64 (sqrt.f64 (log.f64 im)) (*.f64 (sqrt.f64 (log.f64 im)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (log.f64 im)))
(*.f64 (pow.f64 (pow.f64 (log.f64 im) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 im) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (log.f64 im)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 im))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (pow.f64 (log.f64 im) #s(literal 1/6 binary64))) (pow.f64 (log.f64 im) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 im))))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (log.f64 (sqrt.f64 im)))) (sqrt.f64 (log.f64 (sqrt.f64 im))))
(sqrt.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)))
(log.f64 im)
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 im #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 im)))
(log1p.f64 (-.f64 im #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 im)))
(exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 im)))
(*.f64 (cbrt.f64 (log.f64 im)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 im))))
(*.f64 (pow.f64 (log.f64 im) #s(literal 1/6 binary64)) (pow.f64 (log.f64 im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (log.f64 im)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 im))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 im)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (log.f64 im)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (log.f64 (sqrt.f64 im))))
(pow.f64 (log.f64 im) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 im) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (log.f64 im)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 im))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 im))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 im))))
(exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
(/.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) (sqrt.f64 (log.f64 base))) (sqrt.f64 (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 #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 #s(literal 0 binary64) (log.f64 (sqrt.f64 im)))
(+.f64 (log.f64 (cbrt.f64 im)) (log.f64 (cbrt.f64 (sqrt.f64 im))))
(+.f64 (log.f64 (pow.f64 im #s(literal 1/4 binary64))) (log.f64 (pow.f64 im #s(literal 1/4 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 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 im)))
(+.f64 #s(literal 0 binary64) (log.f64 im))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (log.f64 (cbrt.f64 im)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 im))) #s(literal 1 binary64))
(pow.f64 (log.f64 im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)))
(log.f64 im)
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 im #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 im)))
(log1p.f64 (-.f64 im #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 im)))
(exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal 1 binary64)))

simplify240.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
773×cube-prod
662×times-frac
649×exp-prod
531×associate-*r*
503×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067817768
1121816784
2634616784
Stop Event
1×node limit
Counts
698 → 419
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 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))
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(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(*.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 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)) #s(literal 2 binary64))
(*.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 (log.f64 im) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (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 (log.f64 im) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (log.f64 im)) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (sqrt.f64 (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 (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 (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 (sqrt.f64 (log.f64 im)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
(*.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 (log.f64 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 (sqrt.f64 im)) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (log.f64 (sqrt.f64 im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (sqrt.f64 im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 (sqrt.f64 im)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (sqrt.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (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)) (cbrt.f64 (log.f64 im))) (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 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 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 im)))
(+.f64 #s(literal 0 binary64) (log.f64 im))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (log.f64 (cbrt.f64 im)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 im))) #s(literal 1 binary64))
(*.f64 (log.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 im))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im)))
(*.f64 (log.f64 (sqrt.f64 im)) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (log.f64 im)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 im)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 im) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (log.f64 im) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 im))) (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 im))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 im)))
(*.f64 (sqrt.f64 (log.f64 im)) (*.f64 (sqrt.f64 (log.f64 im)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (log.f64 im)))
(*.f64 (pow.f64 (pow.f64 (log.f64 im) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 im) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (log.f64 im)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 im))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (pow.f64 (log.f64 im) #s(literal 1/6 binary64))) (pow.f64 (log.f64 im) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 im))))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (log.f64 (sqrt.f64 im)))) (sqrt.f64 (log.f64 (sqrt.f64 im))))
(sqrt.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)))
(log.f64 im)
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 im #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 im)))
(log1p.f64 (-.f64 im #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 im)))
(exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 im)))
(*.f64 (cbrt.f64 (log.f64 im)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 im))))
(*.f64 (pow.f64 (log.f64 im) #s(literal 1/6 binary64)) (pow.f64 (log.f64 im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (log.f64 im)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 im))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 im)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (log.f64 im)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (log.f64 (sqrt.f64 im))))
(pow.f64 (log.f64 im) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 im) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (log.f64 im)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 im))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 im))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 im))))
(exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
(/.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) (sqrt.f64 (log.f64 base))) (sqrt.f64 (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 #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 #s(literal 0 binary64) (log.f64 (sqrt.f64 im)))
(+.f64 (log.f64 (cbrt.f64 im)) (log.f64 (cbrt.f64 (sqrt.f64 im))))
(+.f64 (log.f64 (pow.f64 im #s(literal 1/4 binary64))) (log.f64 (pow.f64 im #s(literal 1/4 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 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 im)))
(+.f64 #s(literal 0 binary64) (log.f64 im))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (log.f64 (cbrt.f64 im)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 im))) #s(literal 1 binary64))
(pow.f64 (log.f64 im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)))
(log.f64 im)
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 im #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 im)))
(log1p.f64 (-.f64 im #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 im)))
(exp.f64 (*.f64 (log.f64 (log.f64 im)) #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))))
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(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (neg.f64 (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 base))
(/.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 (log.f64 im) (log.f64 base))
(/.f64 (*.f64 (log.f64 im) #s(literal -1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (log.f64 im) (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))))
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1 binary64))
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64))
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -2 binary64)))
(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))))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)))
(/.f64 (log.f64 im) (log.f64 base))
(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))))
(/.f64 (log.f64 im) (log.f64 base))
(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))))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (log.f64 im) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64)))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 im)))
(log.f64 (sqrt.f64 im))
(+.f64 (log.f64 (cbrt.f64 im)) (log.f64 (cbrt.f64 (sqrt.f64 im))))
(+.f64 (log.f64 (pow.f64 im #s(literal 1/4 binary64))) (log.f64 (pow.f64 im #s(literal 1/4 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 im #s(literal 1/4 binary64))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 im)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 im))))
(pow.f64 (log.f64 (sqrt.f64 im)) #s(literal 1 binary64))
(log.f64 (sqrt.f64 im))
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) #s(literal 3 binary64))
(log.f64 (sqrt.f64 im))
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (sqrt.f64 im))
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 im))) #s(literal 2 binary64))
(log.f64 (sqrt.f64 im))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 im)) #s(literal 2 binary64)))
(fabs.f64 (log.f64 (sqrt.f64 im)))
(log.f64 (sqrt.f64 im))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 im) #s(literal 1 binary64))))
(log.f64 (sqrt.f64 im))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 im)) #s(literal 3 binary64)))
(log.f64 (sqrt.f64 im))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 im))))
(log1p.f64 (-.f64 (sqrt.f64 im) #s(literal 1 binary64)))
(log.f64 (sqrt.f64 im))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 im))))
(log.f64 (sqrt.f64 im))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 im))) #s(literal 1 binary64)))
(log.f64 (sqrt.f64 im))
(+.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 im)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im)))
(+.f64 #s(literal 0 binary64) (log.f64 im))
(log.f64 im)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (log.f64 (cbrt.f64 im)))
(+.f64 (log.f64 (cbrt.f64 im)) (log.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 im))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (log.f64 im)))
(pow.f64 (log.f64 im) #s(literal 1 binary64))
(log.f64 im)
(pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64))
(log.f64 im)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 im)
(pow.f64 (sqrt.f64 (log.f64 im)) #s(literal 2 binary64))
(log.f64 im)
(sqrt.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)))
(fabs.f64 (log.f64 im))
(log.f64 im)
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 im #s(literal 1 binary64))))
(log1p.f64 (+.f64 im #s(literal -1 binary64)))
(log.f64 (+.f64 im #s(literal 0 binary64)))
(cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)))
(log.f64 im)
(expm1.f64 (log1p.f64 (log.f64 im)))
(log1p.f64 (-.f64 im #s(literal 1 binary64)))
(log1p.f64 (+.f64 im #s(literal -1 binary64)))
(log.f64 (+.f64 im #s(literal 0 binary64)))
(exp.f64 (log.f64 (log.f64 im)))
(log.f64 im)
(exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal 1 binary64)))
(log.f64 im)

eval225.0ms (1.5%)

Compiler

Compiled 11404 to 5715 computations (49.9% saved)

prune567.0ms (3.9%)

Pruning

21 alts after pruning (11 fresh and 10 done)

PrunedKeptTotal
New8833886
Fresh088
Picked145
Done167
Total88521906
Accuracy
100.0%
Counts
906 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.8%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
46.5%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))
98.8%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
98.8%
(/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
98.9%
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 im)))) (log.f64 base))
✓99.5%
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (log.f64 base))
✓99.0%
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (log.f64 base))
✓99.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 (sqrt.f64 base)))
✓99.5%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓99.0%
(/.f64 (log.f64 im) (log.f64 base))
49.5%
(/.f64 (log.f64 im) (expm1.f64 (log1p.f64 (log.f64 base))))
✓49.5%
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
✓98.6%
(/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
✓76.4%
(/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
76.0%
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
✓98.8%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
98.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
98.5%
(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (log.f64 im)))))
98.8%
(-.f64 (/.f64 (+.f64 (log.f64 im) #s(literal 1 binary64)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓98.8%
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
98.6%
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
Compiler

Compiled 666 to 363 computations (45.5% saved)

regimes97.0ms (0.7%)

Counts
45 → 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 #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)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 im)))) (log.f64 base))
(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 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (log.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 (+.f64 (log.f64 im) #s(literal 1 binary64)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re 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))))
(*.f64 (log.f64 im) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64))) (log.f64 base))
(/.f64 (log.f64 im) (cbrt.f64 (pow.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 (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 (exp.f64 (log1p.f64 (log.f64 im))) #s(literal 1 binary64)) (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base))))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (log.f64 base))
(/.f64 (*.f64 (log.f64 base) (log.f64 im)) (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)))
(expm1.f64 (log1p.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 (expm1.f64 (log1p.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 (log.f64 (hypot.f64 re im)) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
(/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
(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 (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)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base))))
Calls

5 calls:

49.0ms
(log.f64 base)
13.0ms
im
12.0ms
re
12.0ms
base
9.0ms
(/.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))))
Results
AccuracySegmentsBranch
99.5%1re
99.5%1im
99.5%1base
99.5%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))))
99.5%1(log.f64 base)
Compiler

Compiled 48 to 33 computations (31.3% saved)

regimes35.0ms (0.2%)

Counts
28 → 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 #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)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 im)))) (log.f64 base))
(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 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (log.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 (+.f64 (log.f64 im) #s(literal 1 binary64)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re 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))))
(*.f64 (log.f64 im) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64))) (log.f64 base))
(/.f64 (log.f64 im) (cbrt.f64 (pow.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 (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 (exp.f64 (log1p.f64 (log.f64 im))) #s(literal 1 binary64)) (log.f64 base))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Calls

4 calls:

10.0ms
re
8.0ms
(log.f64 base)
8.0ms
base
8.0ms
im
Results
AccuracySegmentsBranch
99.5%1re
99.5%1im
99.5%1base
99.5%1(log.f64 base)
Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.6b remaining (-86.6%)

Threshold costs -0.6b (-86.6%)

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 #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)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 im)))) (log.f64 base))
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
Outputs
(/.f64 (log.f64 im) (log.f64 base))
Calls

4 calls:

3.0ms
im
3.0ms
base
2.0ms
(log.f64 base)
2.0ms
re
Results
AccuracySegmentsBranch
99.0%1re
99.0%1im
99.0%1base
99.0%1(log.f64 base)
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Rules
1×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02191
12291
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base))))
(/.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)) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))

soundness654.0ms (4.5%)

Rules
1037×log1p-expm1-u
1037×expm1-log1p-u
717×times-frac
584×times-frac
512×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084829619
1202628829
2781028829
022230
1312230
23458230
086674
1185652
2306652
3568398
41055350
51803350
65717350
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
Compiler

Compiled 409 to 168 computations (58.9% saved)

preprocess41.0ms (0.3%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 346 to 248 computations (28.3% saved)

end0.0ms (0%)

Profiling

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