math.log/2 on complex, real part

Time bar (total: 13.3s)

analyze494.0ms (3.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%49.9%0.1%0%49.9%0%4
0%0%49.9%0.1%0%49.9%0%5
0%0%49.9%0.1%0%49.9%0%6
9.4%4.7%45.2%0.1%0%49.9%0%7
17.2%8.6%41.3%0.1%0%49.9%0%8
27.3%13.7%36.3%0.1%0%49.9%0%9
41%20.5%29.4%0.1%0%49.9%0%10
48.6%24.3%25.6%0.1%0%49.9%0%11
57.1%28.5%21.4%0.1%0%49.9%0%12
Compiler

Compiled 32 to 19 computations (40.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 294.0ms
ival-mult: 221.0ms (75.1% of total)
ival-log: 27.0ms (9.2% of total)
ival-add: 19.0ms (6.5% of total)
ival-atan2: 10.0ms (3.4% of total)
ival-sqrt: 10.0ms (3.4% of total)
ival-div: 6.0ms (2% of total)
const: 2.0ms (0.7% of total)
backward-pass: 0.0ms (0% of total)

sample2.7s (20.2%)

Results
2.3s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-add: 815.0ms (44.4% of total)
ival-mult: 546.0ms (29.7% of total)
ival-log: 213.0ms (11.6% of total)
ival-sqrt: 117.0ms (6.4% of total)
ival-atan2: 74.0ms (4% of total)
ival-div: 56.0ms (3% of total)
const: 13.0ms (0.7% of total)
backward-pass: 2.0ms (0.1% of total)
Bogosity

preprocess103.0ms (0.8%)

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

Useful iterations: 4 (0.0ms)

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

(abs re)

(abs im)

(sort re im)

explain174.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1300-1(1.2465278240021204e-175 1.411899779896759e-156 1.2599415106285716e+106)(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
98.0ms512×0valid
Compiler

Compiled 277 to 56 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 21.0ms (35.5% of total)
ival-log: 13.0ms (22% of total)
ival-atan2: 8.0ms (13.5% of total)
ival-add: 8.0ms (13.5% of total)
ival-sqrt: 4.0ms (6.8% of total)
ival-div: 3.0ms (5.1% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 59 to 18 computations (69.5% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(/.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)

simplify533.0ms (4%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

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

Useful iterations: 1 (0.0ms)

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

localize90.0ms (0.7%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(log.f64 base)
✓accuracy99.5%
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓accuracy99.4%
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
✓accuracy99.2%
(*.f64 (log.f64 base) (log.f64 base))
✓accuracy100.0%
(hypot.f64 re im)
✓accuracy100.0%
(log.f64 (hypot.f64 re im))
✓accuracy100.0%
(log.f64 base)
✓accuracy99.5%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓accuracy100.0%
(log.f64 base)
✓accuracy99.5%
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
✓accuracy99.4%
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
✓accuracy99.2%
(*.f64 (log.f64 base) (log.f64 base))
✓accuracy100.0%
(log.f64 (hypot.f64 re im))
✓accuracy100.0%
(log.f64 base)
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓accuracy99.4%
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
Results
60.0ms256×0valid
Compiler

Compiled 124 to 16 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 9.0ms (33% of total)
ival-log: 6.0ms (22% of total)
ival-mult: 6.0ms (22% of total)
ival-hypot: 5.0ms (18.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series203.0ms (1.5%)

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

69 calls:

TimeVariablePointExpression
86.0ms
re
@0
(log (sqrt (+ (* re re) (* im im))))
53.0ms
base
@0
(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
13.0ms
base
@-inf
(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
7.0ms
base
@inf
(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
2.0ms
re
@0
(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))

rewrite352.0ms (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)))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
(/.f64 #s(literal 1 binary64) (log.f64 base))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
(log.f64 base)
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 base))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 1 binary64))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base)))) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (log.f64 base)) (log.f64 base))
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 re im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) #s(literal 1 binary64))
(*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (sqrt.f64 (log.f64 base))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (log.f64 base))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64)) (log.f64 base))
(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(log1p.f64 (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (log.f64 (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 (hypot.f64 re im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 re im))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))
(pow.f64 (hypot.f64 re im) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (hypot.f64 re im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 re im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 re im)))
(log1p.f64 (expm1.f64 (hypot.f64 re im)))
(exp.f64 (log.f64 (hypot.f64 re im)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (cbrt.f64 (log.f64 base)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 (log.f64 base) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 1 binary64))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (log.f64 base)))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base)))) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)) (log.f64 base))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (hypot.f64 re im))))
(*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (log.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 re im))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (*.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (log.f64 base)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(log.f64 (pow.f64 base (log.f64 base)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))) #s(literal 1 binary64)))

simplify487.0ms (3.7%)

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

Useful iterations: 1 (0.0ms)

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

eval217.0ms (1.6%)

Compiler

Compiled 33543 to 3293 computations (90.2% saved)

prune285.0ms (2.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1533171550
Fresh000
Picked314
Done000
Total1536181554
Accuracy
100.0%
Counts
1554 → 18
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))
73.5%
(/.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (log.f64 base))
▶98.0%
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64)) (log.f64 base))
98.9%
(/.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))
56.7%
(/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 (-.f64 base #s(literal 1 binary64))))
✓99.5%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
53.0%
(/.f64 (log.f64 (hypot.f64 re im)) (expm1.f64 (log1p.f64 (log.f64 base))))
53.0%
(/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (log.f64 (log.f64 base))))
▶99.2%
(/.f64 (log.f64 im) (log.f64 base))
▶72.9%
(/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
99.0%
(/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))) (log.f64 base))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
77.9%
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 1 binary64))
99.0%
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
97.7%
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
▶99.1%
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
78.3%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
Compiler

Compiled 424 to 317 computations (25.2% saved)

simplify14.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 (hypot.f64 re im))
✓cost-diff0
(cbrt.f64 (log.f64 (hypot.f64 re im)))
✓cost-diff12864
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))
✓cost-diff12864
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64)) (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
(/.f64 #s(literal 1 binary64) (log.f64 base))
cost-diff0
(hypot.f64 re im)
✓cost-diff0
(pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓cost-diff0
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
cost-diff0
(log.f64 base)
✓cost-diff0
(log.f64 im)
✓cost-diff0
(/.f64 (log.f64 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))
Rules
6×*-commutative
5×associate-/l*
3×1-exp
2×fma-define
2×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031537
147537
257537
364537
467537
Stop Event
1×saturated
Calls
Call 1
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
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(hypot.f64 re im)
re
im
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
(/.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
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64)) (log.f64 base))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))
(cbrt.f64 (log.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
#s(literal 3 binary64)
(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 #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
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(hypot.f64 re im)
re
im
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
(/.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
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))
(log.f64 (hypot.f64 re im))
(cbrt.f64 (log.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
#s(literal 3 binary64)
(log.f64 base)
base

localize134.0ms (1%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 base)
✓accuracy99.6%
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64)) (log.f64 base))
✓accuracy99.4%
(cbrt.f64 (log.f64 (hypot.f64 re im)))
✓accuracy99.2%
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))
accuracy100.0%
(log.f64 base)
✓accuracy100.0%
(log.f64 (log.f64 (hypot.f64 re im)))
✓accuracy99.6%
(/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
✓accuracy98.7%
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
accuracy100.0%
(log.f64 base)
accuracy99.7%
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓accuracy99.6%
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓accuracy99.3%
(pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓accuracy100.0%
(log.f64 im)
accuracy100.0%
(log.f64 base)
✓accuracy99.6%
(/.f64 (log.f64 im) (log.f64 base))
✓accuracy100.0%
(sqrt.f64 (hypot.f64 re im))
accuracy100.0%
(log.f64 base)
✓accuracy100.0%
(log.f64 (sqrt.f64 (hypot.f64 re im)))
✓accuracy99.6%
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (log.f64 base))
Results
73.0ms190×0valid
22.0ms66×0invalid
Compiler

Compiled 147 to 25 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-log: 17.0ms (29.2% of total)
ival-pow: 15.0ms (25.7% of total)
ival-div: 11.0ms (18.9% of total)
ival-hypot: 5.0ms (8.6% of total)
ival-mult: 3.0ms (5.1% of total)
ival-exp: 2.0ms (3.4% of total)
ival-cbrt: 2.0ms (3.4% of total)
ival-sqrt: 2.0ms (3.4% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series542.0ms (4.1%)

Counts
14 → 372
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (log.f64 base))>
#<alt (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im))))>
#<alt (log.f64 (sqrt.f64 (hypot.f64 re im)))>
#<alt (sqrt.f64 (hypot.f64 re im))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (log.f64 im)>
#<alt (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))>
#<alt (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base)))>
#<alt (/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))>
#<alt (exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))>
#<alt (log.f64 (log.f64 (hypot.f64 re im)))>
#<alt (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64)) (log.f64 base))>
#<alt (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (log.f64 (hypot.f64 re im)))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.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 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 im))) (log.f64 base))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 im))) (log.f64 base))) (*.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)))))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 im))) (log.f64 base))) (*.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)))))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.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 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 re)) (log.f64 base))))>
#<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)))))) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))) (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 re)) (log.f64 base)))))>
#<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)))))))) (*.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (+.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)))))) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))) (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 re)) (log.f64 base))))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 base)))>
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#<alt (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) im)))))) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (+.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 (*.f64 #s(literal 1/216 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) im))))))) (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) im))))))) (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)))))) (*.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 (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))>
#<alt (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))))) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))))>
#<alt (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))))) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (+.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 (*.f64 #s(literal 1/216 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))))) (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))))) (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))))>
Calls

96 calls:

TimeVariablePointExpression
91.0ms
re
@0
(/ (* 2 (log (sqrt (sqrt (+ (* re re) (* im im)))))) (log base))
81.0ms
base
@0
(log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (log base))))
55.0ms
base
@0
(/ (* 2 (log (sqrt (sqrt (+ (* re re) (* im im)))))) (log base))
23.0ms
base
@-inf
(log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (log base))))
22.0ms
base
@inf
(log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (log base))))

rewrite215.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
920×log1p-expm1-u
920×expm1-log1p-u
170×fma-define
156×add-exp-log
152×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031382
1409312
24444312
Stop Event
1×node limit
Counts
14 → 533
Calls
Call 1
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))))
(log.f64 (sqrt.f64 (hypot.f64 re im)))
(sqrt.f64 (hypot.f64 re im))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.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)))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64)) (log.f64 base))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))
(cbrt.f64 (log.f64 (hypot.f64 re im)))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))))
(-.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 (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 (log.f64 (sqrt.f64 (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (log.f64 base)))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64)))
(*.f64 (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 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 (hypot.f64 re im))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #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 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 #s(literal 1 binary64) (neg.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 (/.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 base)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (sqrt.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 (log.f64 (sqrt.f64 (hypot.f64 re im))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (sqrt.f64 (hypot.f64 re 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) (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 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (sqrt.f64 (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 (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 (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 (/.f64 #s(literal 1 binary64) (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 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))))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (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 (/.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 (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 (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 (pow.f64 (cbrt.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 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 3/2 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 (pow.f64 (cbrt.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))))
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(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (log.f64 (sqrt.f64 (hypot.f64 re im)))))
(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(pow.f64 (cbrt.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 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 1 binary64)))

simplify949.0ms (7.1%)

Algorithm
1×egg-herbie
Rules
534×*-commutative
495×times-frac
473×distribute-lft-in
469×distribute-rgt-in
361×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0167754886
1458553149
Stop Event
1×node limit
Counts
905 → 919
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.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 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 im))) (log.f64 base))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 im))) (log.f64 base))) (*.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)))))))
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(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 re)) (log.f64 base)))
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(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 base)))
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(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 re))) (log.f64 base)))
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(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 re))) (log.f64 base))) (*.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 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)))
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(+.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)))))) (*.f64 (pow.f64 im #s(literal 4 binary64)) (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 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)))))
(+.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)))))))) (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (+.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)))))) (*.f64 (pow.f64 im #s(literal 4 binary64)) (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 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base))))))
(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 base)))
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(+.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)))))))) (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base)))) (+.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)))))) (*.f64 (pow.f64 im #s(literal 4 binary64)) (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 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 base))))))
(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/4 binary64))) (log.f64 base)))
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(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/4 binary64))) (log.f64 base)))
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(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))))
(fma.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) #s(literal 1 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(fma.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(fma.f64 #s(literal 1/2 binary64) (log.f64 (hypot.f64 re im)) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(fma.f64 (cbrt.f64 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (hypot.f64 re im)))) #s(literal 2 binary64)) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (hypot.f64 re im)))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (log.f64 (sqrt.f64 (hypot.f64 re im)))))
(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(pow.f64 (cbrt.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 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 im))) (log.f64 base)))
(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 im))) (log.f64 base)))
(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.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 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.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 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (sqrt.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 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 im))) (log.f64 base))) (*.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)))))))
(fma.f64 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 im))) (log.f64 base)) (*.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)))))))
(fma.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)) (*.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 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 im))) (log.f64 base))) (*.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)))))))
(fma.f64 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 im))) (log.f64 base)) (*.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)))))))
(fma.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)) (*.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 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 re)) (log.f64 base)))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 re))) (log.f64 base))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))) (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 re)) (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 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 re))) (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 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 re)) (log.f64 base))))
(+.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)))))) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))) (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 re)) (log.f64 base)))))
(fma.f64 #s(literal 1/12 binary64) (/.f64 (fma.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64)) (*.f64 #s(literal 24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -3/32 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 2 binary64) (log.f64 (sqrt.f64 re))) (log.f64 base))))
(fma.f64 #s(literal 1/12 binary64) (/.f64 (fma.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64)) (*.f64 #s(literal 24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -3/32 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 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 re)) (log.f64 base)))))
(+.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)))))))) (*.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (+.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)))))) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))) (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 re)) (log.f64 base))))))
(fma.f64 #s(literal 1/360 binary64) (/.f64 (fma.f64 #s(literal -180 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -3/32 binary64))) (fma.f64 #s(literal 15/4 binary64) (pow.f64 im #s(literal 6 binary64)) (*.f64 #s(literal 720 binary64) (fma.f64 #s(literal -1/32 binary64) (pow.f64 im #s(literal 6 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 11/128 binary64)))))) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (fma.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64)) (*.f64 #s(literal 24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -3/32 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 2 binary64) (log.f64 (sqrt.f64 re))) (log.f64 base)))))
(fma.f64 #s(literal 1/360 binary64) (/.f64 (fma.f64 #s(literal -180 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -3/32 binary64))) (fma.f64 #s(literal 15/4 binary64) (pow.f64 im #s(literal 6 binary64)) (*.f64 #s(literal 720 binary64) (fma.f64 #s(literal -1/32 binary64) (pow.f64 im #s(literal 6 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 11/128 binary64)))))) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (fma.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64)) (*.f64 #s(literal 24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -3/32 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 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 re)) (log.f64 base))))))
(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 base)))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64))))) (log.f64 base))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))) (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 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 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 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 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 base))))
(+.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)))))) (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 base)))) (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 base)))))
(fma.f64 #s(literal 1/12 binary64) (/.f64 (fma.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64)) (*.f64 #s(literal 24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -3/32 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 2 binary64) (log.f64 (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64))))) (log.f64 base))))
(fma.f64 #s(literal 1/12 binary64) (/.f64 (fma.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64)) (*.f64 #s(literal 24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -3/32 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 #s(literal 2 binary64) (/.f64 (log.f64 (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 base)))))
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(*.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))))
(fma.f64 #s(literal 1 binary64) (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))))
(fma.f64 #s(literal 1/2 binary64) (log.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))))
(fma.f64 (cbrt.f64 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (hypot.f64 re im)))) #s(literal 2 binary64)) (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))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (hypot.f64 re im)))) #s(literal 2 binary64)) (cbrt.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))))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (sqrt.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 (cbrt.f64 (log.f64 (hypot.f64 re im))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (hypot.f64 im re)))))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(cbrt.f64 (log.f64 (hypot.f64 re im)))
(cbrt.f64 (log.f64 (hypot.f64 im re)))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(cbrt.f64 (log.f64 (hypot.f64 re im)))
(cbrt.f64 (log.f64 (hypot.f64 im re)))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (hypot.f64 im re)))) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)))
(cbrt.f64 (log.f64 (hypot.f64 re im)))
(cbrt.f64 (log.f64 (hypot.f64 im re)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 im re)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(cbrt.f64 (log.f64 (hypot.f64 re im)))
(cbrt.f64 (log.f64 (hypot.f64 im re)))
(*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)))
(cbrt.f64 (log.f64 (hypot.f64 re im)))
(cbrt.f64 (log.f64 (hypot.f64 im re)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(cbrt.f64 (log.f64 (hypot.f64 re im)))
(cbrt.f64 (log.f64 (hypot.f64 im re)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 im re)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (hypot.f64 im re)))) (cbrt.f64 (sqrt.f64 (log.f64 (hypot.f64 im re)))))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (log.f64 (sqrt.f64 (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (hypot.f64 im re)))) (cbrt.f64 #s(literal 2 binary64)))
(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/3 binary64))
(cbrt.f64 (log.f64 (hypot.f64 re im)))
(cbrt.f64 (log.f64 (hypot.f64 im re)))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(cbrt.f64 (log.f64 (hypot.f64 re im)))
(cbrt.f64 (log.f64 (hypot.f64 im re)))
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 3 binary64))
(cbrt.f64 (log.f64 (hypot.f64 re im)))
(cbrt.f64 (log.f64 (hypot.f64 im re)))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 (log.f64 (hypot.f64 re im)))
(cbrt.f64 (log.f64 (hypot.f64 im re)))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(fabs.f64 (cbrt.f64 (log.f64 (hypot.f64 im re))))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(cbrt.f64 (log.f64 (hypot.f64 re im)))
(cbrt.f64 (log.f64 (hypot.f64 im re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))))))
(cbrt.f64 (log.f64 (hypot.f64 re im)))
(cbrt.f64 (log.f64 (hypot.f64 im re)))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (hypot.f64 im re)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(cbrt.f64 (log.f64 (hypot.f64 re im)))
(cbrt.f64 (log.f64 (hypot.f64 im re)))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(cbrt.f64 (log.f64 (hypot.f64 re im)))
(cbrt.f64 (log.f64 (hypot.f64 im re)))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) #s(literal 1/3 binary64)))
(cbrt.f64 (log.f64 (hypot.f64 re im)))
(cbrt.f64 (log.f64 (hypot.f64 im re)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 1 binary64)))
(cbrt.f64 (log.f64 (hypot.f64 re im)))
(cbrt.f64 (log.f64 (hypot.f64 im re)))

eval300.0ms (2.3%)

Compiler

Compiled 47603 to 6482 computations (86.4% saved)

prune267.0ms (2%)

Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New1772161788
Fresh10212
Picked415
Done011
Total1786201806
Accuracy
100.0%
Counts
1806 → 20
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))
73.4%
(/.f64 (pow.f64 (sqrt.f64 (log.f64 im)) #s(literal 2 binary64)) (log.f64 base))
▶97.7%
(/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64)) (log.f64 base))
98.9%
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
▶99.2%
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (log.f64 base))
✓99.5%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
97.7%
(/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
56.6%
(/.f64 (log.f64 im) (log1p.f64 (-.f64 base #s(literal 1 binary64))))
✓99.2%
(/.f64 (log.f64 im) (log.f64 base))
52.8%
(/.f64 (log.f64 im) (expm1.f64 (log1p.f64 (log.f64 base))))
▶52.8%
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
72.8%
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
98.7%
(/.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64))) (log.f64 base))
99.1%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
77.7%
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
▶99.0%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
97.4%
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
98.8%
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
78.0%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
▶53.3%
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
Compiler

Compiled 406 to 319 computations (21.4% saved)

simplify30.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 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-diff12864
(/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 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
(log.f64 base)
cost-diff0
(log.f64 im)
✓cost-diff0
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
✓cost-diff12800
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
cost-diff0
(log.f64 im)
cost-diff0
(log.f64 base)
cost-diff0
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
✓cost-diff0
(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))
Rules
18×times-frac
16×associate-*r*
15×associate-*l*
14×*-commutative
9×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028398
142368
266368
394368
4102368
5105368
6110368
7116368
8123368
9147368
10168368
11173368
12179368
13188368
Stop Event
1×saturated
Calls
Call 1
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
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
(log.f64 im)
im
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
(/.f64 (log.f64 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
(/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 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)
(log.f64 base)
base
Outputs
(/.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
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
(log.f64 im)
im
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 im)) (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
(/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64)) (log.f64 base))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 im)) (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)
(log.f64 base)
base

localize164.0ms (1.2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 base)
✓accuracy99.8%
(/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64)) (log.f64 base))
✓accuracy99.6%
(cbrt.f64 (log.f64 im))
✓accuracy99.5%
(pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64))
accuracy100.0%
(log.f64 base)
✓accuracy100.0%
(log.f64 (log.f64 base))
✓accuracy99.8%
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
✓accuracy99.3%
(exp.f64 (log.f64 (log.f64 base)))
accuracy100.0%
(log.f64 base)
✓accuracy99.8%
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
accuracy99.8%
(/.f64 (log.f64 im) (log.f64 base))
✓accuracy99.5%
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
accuracy100.0%
(log.f64 im)
accuracy100.0%
(log.f64 base)
accuracy99.8%
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
✓accuracy100.0%
(sqrt.f64 im)
✓accuracy100.0%
(log.f64 (sqrt.f64 im))
accuracy100.0%
(log.f64 base)
✓accuracy99.8%
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (log.f64 base))
Results
44.0ms151×0invalid
33.0ms105×0valid
Compiler

Compiled 112 to 24 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-log: 15.0ms (34.1% of total)
ival-div: 10.0ms (22.7% of total)
ival-pow: 5.0ms (11.4% of total)
ival-exp: 4.0ms (9.1% of total)
ival-mult: 4.0ms (9.1% of total)
ival-sqrt: 3.0ms (6.8% of total)
ival-cbrt: 2.0ms (4.5% of total)
const: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

series589.0ms (4.4%)

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

57 calls:

TimeVariablePointExpression
170.0ms
base
@inf
(log (log base))
136.0ms
base
@-inf
(log (log base))
96.0ms
im
@inf
(/ (* 2 (log (sqrt im))) (log base))
23.0ms
im
@inf
(log (/ (log im) (log base)))
21.0ms
im
@-inf
(log (/ (log im) (log base)))

rewrite496.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
971×log1p-expm1-u
971×expm1-log1p-u
597×log-prod
178×expm1-undefine
178×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028268
1334198
23394198
Stop Event
1×node limit
Counts
13 → 596
Calls
Call 1
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)))
(log.f64 (sqrt.f64 im))
(sqrt.f64 im)
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
(exp.f64 (log.f64 (log.f64 base)))
(log.f64 (log.f64 base))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64)) (log.f64 base))
(pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64))
(cbrt.f64 (log.f64 im))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base)))) (cbrt.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base)))))) (log.f64 (cbrt.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))) (log.f64 (sqrt.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)))
(*.f64 (log.f64 (sqrt.f64 im)) (/.f64 #s(literal 2 binary64) (log.f64 base)))
(*.f64 (log.f64 (sqrt.f64 im)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))
(*.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 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 im)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (log.f64 base)))
(*.f64 (cbrt.f64 (log.f64 im)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (log.f64 im)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 im)))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(*.f64 (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 (/.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)) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 2 binary64) (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) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))
(*.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) (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 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))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))) (sqrt.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(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 (/.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 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 im)))
(+.f64 (log.f64 im) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 im))
(+.f64 (log.f64 (pow.f64 im #s(literal 1/4 binary64))) (log.f64 (*.f64 (pow.f64 im #s(literal 1/4 binary64)) (sqrt.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 (log.f64 (cbrt.f64 im)) (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 im)) (sqrt.f64 im))))
(+.f64 (log.f64 (*.f64 (sqrt.f64 im) (pow.f64 im #s(literal 1/4 binary64)))) (log.f64 (pow.f64 im #s(literal 1/4 binary64))))
(+.f64 (log.f64 (*.f64 (sqrt.f64 im) (cbrt.f64 im))) (log.f64 (cbrt.f64 (sqrt.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))))
(log.f64 (*.f64 (sqrt.f64 im) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 im) #s(literal 1 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 im) #s(literal 1 binary64))) (sqrt.f64 im)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 im) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.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)))
(fma.f64 (log.f64 (sqrt.f64 im)) #s(literal 1 binary64) (log.f64 (sqrt.f64 im)))
(fma.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 im) (log.f64 (sqrt.f64 im)))
(fma.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) #s(literal 2 binary64)) (log.f64 (sqrt.f64 im)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (sqrt.f64 im))) (log.f64 (sqrt.f64 im)))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 im))) (sqrt.f64 (log.f64 (sqrt.f64 im))) (log.f64 (sqrt.f64 im)))
(+.f64 (log.f64 (sqrt.f64 im)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 im)))
(+.f64 (log.f64 (cbrt.f64 (sqrt.f64 im))) (log.f64 (cbrt.f64 im)))
(+.f64 (log.f64 (pow.f64 im #s(literal 1/4 binary64))) (log.f64 (pow.f64 im #s(literal 1/4 binary64))))
(+.f64 (log.f64 (cbrt.f64 im)) (log.f64 (cbrt.f64 (sqrt.f64 im))))
(+.f64 (log.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) (log.f64 (sqrt.f64 im)))
(+.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (cbrt.f64 im) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (cbrt.f64 im))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 im)))) #s(literal 1 binary64))
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(*.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)))

simplify386.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
610×cube-prod
487×fma-neg
423×times-frac
377×associate-*l*
373×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
071421089
1115720141
2483320117
Stop Event
1×node limit
Counts
792 → 442
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (/.f64 (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) (/.f64 (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) (/.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)))
(*.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)))
(*.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)))
(*.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)))
(*.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)))
(*.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)))
(*.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)))
(*.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)))
(*.f64 #s(literal 2 binary64) (/.f64 (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) (/.f64 (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) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.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))))))
(*.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))))))
(*.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))))))
(*.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))))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(+.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))))
(+.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))))
(+.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))))
(+.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))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
(log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
(log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
(log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
(log.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base)))
(log.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base)))
(log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
(log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
(log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
(log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
(log.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))
(log.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))
(log.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))
(log.f64 (/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
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(*.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)))
Outputs
(*.f64 #s(literal 2 binary64) (/.f64 (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) (/.f64 (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) (/.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)))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 im))) (log.f64 base))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 im)) (log.f64 base)))
(*.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 im)) (/.f64 #s(literal 2 binary64) (log.f64 base)))
(*.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)))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 im))) (log.f64 base))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 im)) (log.f64 base)))
(*.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 im)) (/.f64 #s(literal 2 binary64) (log.f64 base)))
(*.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)))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 im))) (log.f64 base))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 im)) (log.f64 base)))
(*.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 im)) (/.f64 #s(literal 2 binary64) (log.f64 base)))
(*.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)))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 im))) (log.f64 base))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 im)) (log.f64 base)))
(*.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 im)) (/.f64 #s(literal 2 binary64) (log.f64 base)))
(*.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)))
(*.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)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base)))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base)))
(*.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 #s(literal 2 binary64) (log.f64 base)))
(*.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)))
(*.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)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base)))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base)))
(*.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 #s(literal 2 binary64) (log.f64 base)))
(*.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)))
(*.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)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base)))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base)))
(*.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 #s(literal 2 binary64) (log.f64 base)))
(*.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)))
(*.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)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base)))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base)))
(*.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 #s(literal 2 binary64) (log.f64 base)))
(*.f64 #s(literal 2 binary64) (/.f64 (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) (/.f64 (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) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)))
(*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)))
(*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)))
(*.f64 #s(literal -2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)))
(*.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))))))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(*.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))))))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(*.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))))))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(*.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))))))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(*.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)))))
(*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 im)))
(*.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)))))
(*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 im)))
(*.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)))))
(*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 im)))
(*.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)))))
(*.f64 #s(literal 2 binary64) (+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 im)))
(*.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)))))
(*.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)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(*.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)))))
(*.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)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(*.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)))))
(*.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)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(*.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)))))
(*.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)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 im))
(+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 im))
(+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 im))
(+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (log.f64 im))
(+.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))))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))
(-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+.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))))
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(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 (/.f64 #s(literal 1 binary64) (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 (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))
(+.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 im)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im)))
(+.f64 (log.f64 im) #s(literal 0 binary64))
(log.f64 im)
(+.f64 #s(literal 0 binary64) (log.f64 im))
(log.f64 im)
(+.f64 (log.f64 (pow.f64 im #s(literal 1/4 binary64))) (log.f64 (*.f64 (pow.f64 im #s(literal 1/4 binary64)) (sqrt.f64 im))))
(+.f64 (log.f64 (pow.f64 im #s(literal 1/4 binary64))) (log.f64 (*.f64 (sqrt.f64 im) (pow.f64 im #s(literal 1/4 binary64)))))
(+.f64 (log.f64 (pow.f64 im #s(literal 1/4 binary64))) (log.f64 (pow.f64 (pow.f64 im #s(literal 1/4 binary64)) #s(literal 3 binary64))))
(+.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 (log.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (log.f64 (cbrt.f64 im)))
(+.f64 (log.f64 (cbrt.f64 im)) (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 im)) (sqrt.f64 im))))
(+.f64 (log.f64 (cbrt.f64 im)) (log.f64 (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 im)))))
(+.f64 (log.f64 (cbrt.f64 im)) (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 4 binary64))))
(+.f64 (log.f64 (*.f64 (sqrt.f64 im) (pow.f64 im #s(literal 1/4 binary64)))) (log.f64 (pow.f64 im #s(literal 1/4 binary64))))
(+.f64 (log.f64 (pow.f64 im #s(literal 1/4 binary64))) (log.f64 (*.f64 (sqrt.f64 im) (pow.f64 im #s(literal 1/4 binary64)))))
(+.f64 (log.f64 (pow.f64 im #s(literal 1/4 binary64))) (log.f64 (pow.f64 (pow.f64 im #s(literal 1/4 binary64)) #s(literal 3 binary64))))
(+.f64 (log.f64 (*.f64 (sqrt.f64 im) (cbrt.f64 im))) (log.f64 (cbrt.f64 (sqrt.f64 im))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 im))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (log.f64 im)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im)))
(*.f64 (log.f64 (sqrt.f64 im)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im)))
(*.f64 #s(literal 1 binary64) (log.f64 im))
(log.f64 im)
(*.f64 (log.f64 im) #s(literal 1 binary64))
(log.f64 im)
(*.f64 (cbrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)))
(log.f64 im)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (log.f64 im)))
(log.f64 im)
(*.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 #s(literal 2 binary64) (log.f64 (sqrt.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))))
(log.f64 im)
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 im))) (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 im))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im)))
(*.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))))
(log.f64 im)
(*.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 im)))
(log.f64 im)
(*.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)))
(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)))
(log.f64 im)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (log.f64 im)))
(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))))
(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)))
(log.f64 im)
(*.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 #s(literal 2 binary64) (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))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im)))
(sqrt.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)))
(log.f64 im)
(log.f64 im)
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 im #s(literal 1 binary64))))
(log.f64 im)
(log.f64 (*.f64 (sqrt.f64 im) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 im) #s(literal 1 binary64)))))
(log.f64 im)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 im) #s(literal 1 binary64))) (sqrt.f64 im)))
(log.f64 im)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 im) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 im) #s(literal 1 binary64)))))
(log.f64 im)
(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)))
(log.f64 im)
(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)
(fma.f64 (log.f64 (sqrt.f64 im)) #s(literal 1 binary64) (log.f64 (sqrt.f64 im)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im)))
(fma.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 im)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 im) (log.f64 (sqrt.f64 im)))
(fma.f64 (log.f64 im) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 im)))
(fma.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) #s(literal 2 binary64)) (log.f64 (sqrt.f64 im)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (sqrt.f64 im))) (log.f64 (sqrt.f64 im)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im)))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 im))) (sqrt.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) (cbrt.f64 (log.f64 im)))
(cbrt.f64 (log.f64 im))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (log.f64 im)))) (cbrt.f64 (exp.f64 (cbrt.f64 (log.f64 im)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (log.f64 im))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (log.f64 im))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (log.f64 im))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (log.f64 im))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 im)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 im))))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 im)))
(cbrt.f64 (log.f64 im))
(*.f64 (cbrt.f64 (log.f64 im)) #s(literal 1 binary64))
(cbrt.f64 (log.f64 im))
(*.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)))
(cbrt.f64 (log.f64 im))
(*.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)))
(cbrt.f64 (log.f64 im))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 im))))
(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)))
(cbrt.f64 (log.f64 im))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (log.f64 im)))
(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))))
(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 (sqrt.f64 (log.f64 im))) (cbrt.f64 (sqrt.f64 (log.f64 im))))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (log.f64 (sqrt.f64 im))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 im))) (cbrt.f64 #s(literal 2 binary64)))
(pow.f64 (log.f64 im) #s(literal 1/3 binary64))
(cbrt.f64 (log.f64 im))
(pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 1 binary64))
(cbrt.f64 (log.f64 im))
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 im))) #s(literal 3 binary64))
(cbrt.f64 (log.f64 im))
(pow.f64 (pow.f64 (log.f64 im) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 (log.f64 im))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)))
(cbrt.f64 (log.f64 im))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 im))))
(cbrt.f64 (log.f64 im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (log.f64 im)))))
(cbrt.f64 (log.f64 im))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 im))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 im))))
(cbrt.f64 (log.f64 im))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 im))))
(cbrt.f64 (log.f64 im))
(exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal 1/3 binary64)))
(cbrt.f64 (log.f64 im))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 im))) #s(literal 1 binary64)))
(cbrt.f64 (log.f64 im))

eval177.0ms (1.3%)

Compiler

Compiled 11622 to 2197 computations (81.1% saved)

prune414.0ms (3.1%)

Pruning

20 alts after pruning (13 fresh and 7 done)

PrunedKeptTotal
New9121913
Fresh11213
Picked055
Done022
Total91320933
Accuracy
100.0%
Counts
933 → 20
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))
73.4%
(/.f64 (pow.f64 (sqrt.f64 (log.f64 im)) #s(literal 2 binary64)) (log.f64 base))
✓97.7%
(/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64)) (log.f64 base))
✓99.2%
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (log.f64 base))
✓99.5%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
97.7%
(/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
▶56.6%
(/.f64 (log.f64 im) (log1p.f64 (-.f64 base #s(literal 1 binary64))))
✓99.2%
(/.f64 (log.f64 im) (log.f64 base))
52.8%
(/.f64 (log.f64 im) (expm1.f64 (log1p.f64 (log.f64 base))))
✓52.8%
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
72.8%
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
▶98.7%
(/.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64))) (log.f64 base))
▶99.1%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
▶77.7%
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
✓99.0%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
99.0%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (log.f64 im))
▶97.4%
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
98.8%
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
78.0%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓53.3%
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
Compiler

Compiled 352 to 279 computations (20.7% saved)

simplify111.0ms (0.8%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 im)
✓cost-diff0
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
✓cost-diff12672
(exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓cost-diff12928
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
cost-diff0
(log.f64 im)
✓cost-diff0
(pow.f64 (log.f64 im) #s(literal 3 binary64))
✓cost-diff12864
(cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)))
✓cost-diff12864
(/.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64))) (log.f64 base))
cost-diff0
(log.f64 base)
cost-diff0
(log.f64 im)
✓cost-diff0
(expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))
✓cost-diff12800
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓cost-diff0
(-.f64 base #s(literal 1 binary64))
cost-diff0
(log.f64 im)
✓cost-diff128
(log1p.f64 (-.f64 base #s(literal 1 binary64)))
✓cost-diff128
(/.f64 (log.f64 im) (log1p.f64 (-.f64 base #s(literal 1 binary64))))
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)))
Rules
928×fma-neg
843×div-sub
605×sub-neg
522×fma-define
460×prod-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026445
149443
265401
3102401
4197401
5448401
61203401
72007401
83498401
96462401
Stop Event
1×node limit
Calls
Call 1
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
(/.f64 (log.f64 im) (log1p.f64 (-.f64 base #s(literal 1 binary64))))
(log.f64 im)
im
(log1p.f64 (-.f64 base #s(literal 1 binary64)))
(-.f64 base #s(literal 1 binary64))
base
#s(literal 1 binary64)
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
(/.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64))) (log.f64 base))
(cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)))
(pow.f64 (log.f64 im) #s(literal 3 binary64))
(log.f64 im)
im
#s(literal 3 binary64)
(log.f64 base)
base
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
#s(literal 1 binary64)
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
(/.f64 (log.f64 im) (log1p.f64 (-.f64 base #s(literal 1 binary64))))
(*.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))
(log.f64 im)
im
(log1p.f64 (-.f64 base #s(literal 1 binary64)))
(log.f64 base)
(-.f64 base #s(literal 1 binary64))
(+.f64 base #s(literal -1 binary64))
base
#s(literal 1 binary64)
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.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))
(expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(log.f64 im)
im
(log.f64 base)
base
(/.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64))) (log.f64 base))
(*.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))
(cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)))
(log.f64 im)
(pow.f64 (log.f64 im) #s(literal 3 binary64))
(log.f64 im)
im
#s(literal 3 binary64)
(log.f64 base)
base
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(log.f64 im)
im
(log.f64 base)
base
#s(literal 1 binary64)

localize319.0ms (2.4%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓accuracy99.7%
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
accuracy99.6%
(/.f64 (log.f64 im) (log.f64 base))
✓accuracy99.3%
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
accuracy100.0%
(log.f64 base)
✓accuracy99.6%
(/.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64))) (log.f64 base))
✓accuracy99.4%
(cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)))
✓accuracy99.1%
(pow.f64 (log.f64 im) #s(literal 3 binary64))
accuracy100.0%
(log.f64 base)
✓accuracy99.7%
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
accuracy99.6%
(/.f64 (log.f64 im) (log.f64 base))
✓accuracy99.4%
(expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))
✓accuracy100.0%
(-.f64 base #s(literal 1 binary64))
accuracy100.0%
(log.f64 im)
✓accuracy99.6%
(/.f64 (log.f64 im) (log1p.f64 (-.f64 base #s(literal 1 binary64))))
✓accuracy71.7%
(log1p.f64 (-.f64 base #s(literal 1 binary64)))
accuracy100.0%
(log.f64 im)
accuracy100.0%
(log.f64 base)
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
✓accuracy99.6%
(/.f64 (log.f64 base) (log.f64 im))
Results
139.0ms45×2valid
44.0ms127×0valid
24.0ms30×1valid
14.0ms54×0invalid
Compiler

Compiled 124 to 22 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-div: 20.0ms (24.8% of total)
ival-log1p: 13.0ms (16.1% of total)
ival-log: 12.0ms (14.9% of total)
backward-pass: 10.0ms (12.4% of total)
ival-pow: 8.0ms (9.9% of total)
ival-sub: 6.0ms (7.4% of total)
ival-expm1: 5.0ms (6.2% of total)
ival-exp: 3.0ms (3.7% of total)
ival-cbrt: 3.0ms (3.7% of total)
const: 1.0ms (1.2% of total)

series197.0ms (1.5%)

Counts
13 → 249
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))>
#<alt (/.f64 (log.f64 base) (log.f64 im))>
#<alt (/.f64 (log.f64 im) (log1p.f64 (-.f64 base #s(literal 1 binary64))))>
#<alt (log1p.f64 (-.f64 base #s(literal 1 binary64)))>
#<alt (-.f64 base #s(literal 1 binary64))>
#<alt (log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))>
#<alt (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (/.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64))) (log.f64 base))>
#<alt (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)))>
#<alt (pow.f64 (log.f64 im) #s(literal 3 binary64))>
#<alt (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))>
#<alt (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))>
#<alt (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))>
Outputs
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (log.f64 im) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))>
#<alt (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))>
#<alt (*.f64 #s(literal -1 binary64) (/.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 (/.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 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 #s(literal -1 binary64)>
#<alt base>
#<alt (*.f64 base (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))>
#<alt (*.f64 base (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))>
#<alt (*.f64 base (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))>
#<alt base>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 base (-.f64 (/.f64 #s(literal 1 binary64) base) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 base (-.f64 (/.f64 #s(literal 1 binary64) base) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 base (-.f64 (/.f64 #s(literal 1 binary64) base) #s(literal 1 binary64))))>
#<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 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))) #s(literal 1 binary64))>
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#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (/.f64 (log.f64 #s(literal -1 binary64)) (log.f64 base))))>
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#<alt (log.f64 (+.f64 #s(literal 1 binary64) (/.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 (+.f64 #s(literal 1 binary64) (/.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 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))))>
Calls

66 calls:

TimeVariablePointExpression
71.0ms
base
@-inf
(log (+ 1 (/ (log im) (log base))))
24.0ms
im
@-inf
(log (+ 1 (/ (log im) (log base))))
24.0ms
base
@-inf
(/ (log im) (log (+ 1 (- base 1))))
19.0ms
im
@inf
(log (+ 1 (/ (log im) (log base))))
18.0ms
im
@0
(log (+ 1 (/ (log im) (log base))))

rewrite308.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
777×log1p-expm1-u
776×expm1-log1p-u
663×prod-diff
178×fma-neg
130×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026251
1363243
24158243
Stop Event
1×node limit
Counts
13 → 543
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 base) (log.f64 im))
(/.f64 (log.f64 im) (log1p.f64 (-.f64 base #s(literal 1 binary64))))
(log1p.f64 (-.f64 base #s(literal 1 binary64)))
(-.f64 base #s(literal 1 binary64))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64))) (log.f64 base))
(cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)))
(pow.f64 (log.f64 im) #s(literal 3 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))))
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(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (/.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)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))) (neg.f64 (log.f64 im)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64)) (log.f64 im))
(*.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)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 base)) (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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal -1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 im) #s(literal 1 binary64)) (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 (/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 base)))
(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))))
(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 (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)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal -1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -2 binary64)) (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))) (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)))

simplify583.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
484×exp-prod
457×cube-prod
423×fma-neg
295×swap-sqr
257×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061123437
1115622647
2444822468
Stop Event
1×node limit
Counts
792 → 401
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
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(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -2 binary64)) (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))) (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)))
Outputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 im)))
(/.f64 (log.f64 base) (log.f64 im))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 im)))
(/.f64 (log.f64 base) (log.f64 im))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 im)))
(/.f64 (log.f64 base) (log.f64 im))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 im)))
(/.f64 (log.f64 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)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))) (log.f64 im))
(/.f64 (-.f64 (log.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)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))) (log.f64 im))
(/.f64 (-.f64 (log.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)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))) (log.f64 im))
(/.f64 (-.f64 (log.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)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)))) (log.f64 im))
(/.f64 (-.f64 (log.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 (log.f64 base) (log.f64 im))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(/.f64 (log.f64 base) (log.f64 im))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(/.f64 (log.f64 base) (log.f64 im))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(/.f64 (log.f64 base) (log.f64 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)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (log.f64 base) (-.f64 (log.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)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (log.f64 base) (-.f64 (log.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)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (log.f64 base) (-.f64 (log.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)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (log.f64 base) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
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(*.f64 (cbrt.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -2 binary64)) (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -2 binary64))) (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)) (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 3 binary64))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 2 binary64))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))) (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64)))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal -1 binary64))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64) #s(literal -1 binary64))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))) #s(literal -1 binary64))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))) #s(literal -1 binary64))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))) (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 2 binary64)))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 3 binary64))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 2 binary64))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64)))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)))
(log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))

eval176.0ms (1.3%)

Compiler

Compiled 11448 to 2177 computations (81% saved)

prune151.0ms (1.1%)

Pruning

20 alts after pruning (12 fresh and 8 done)

PrunedKeptTotal
New8515856
Fresh178
Picked325
Done167
Total85620876
Accuracy
100.0%
Counts
876 → 20
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))
73.4%
(/.f64 (pow.f64 (sqrt.f64 (log.f64 im)) #s(literal 2 binary64)) (log.f64 base))
✓97.7%
(/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64)) (log.f64 base))
✓99.2%
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (log.f64 base))
✓99.5%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓56.6%
(/.f64 (log.f64 im) (log1p.f64 (-.f64 base #s(literal 1 binary64))))
✓99.2%
(/.f64 (log.f64 im) (log.f64 base))
52.8%
(/.f64 (log.f64 im) (expm1.f64 (log1p.f64 (log.f64 base))))
72.8%
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
✓99.1%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
99.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
98.6%
(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (log.f64 im)))))
98.4%
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)) #s(literal 1 binary64))
98.7%
(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓99.0%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
99.0%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (log.f64 im))
97.1%
(log1p.f64 (-.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 1 binary64)))
98.8%
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
78.0%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓53.3%
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
Compiler

Compiled 628 to 295 computations (53% saved)

regimes162.0ms (1.2%)

Counts
44 → 1
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 im) (log1p.f64 (-.f64 base #s(literal 1 binary64))))
(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(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 2 binary64) (log.f64 (sqrt.f64 im))) (log.f64 base))
(log1p.f64 (-.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (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) (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 (log.f64 (hypot.f64 re im)) (log1p.f64 (-.f64 base #s(literal 1 binary64))))
(exp.f64 (log.f64 (/.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 (exp.f64 (log.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 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64))) (log.f64 base))
(/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64)) (log.f64 base))
(/.f64 (pow.f64 (sqrt.f64 (log.f64 im)) #s(literal 2 binary64)) (log.f64 base))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (log.f64 im))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (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))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (log.f64 (log.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (expm1.f64 (log1p.f64 (log.f64 base))))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))) (log.f64 base))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64)) (log.f64 base))
(/.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 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 (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 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (log.f64 base))
Calls

5 calls:

107.0ms
im
13.0ms
(log.f64 base)
13.0ms
(/.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))))
11.0ms
re
11.0ms
base
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 31 computations (35.4% saved)

regimes35.0ms (0.3%)

Counts
29 → 1
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 im) (log1p.f64 (-.f64 base #s(literal 1 binary64))))
(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(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 2 binary64) (log.f64 (sqrt.f64 im))) (log.f64 base))
(log1p.f64 (-.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (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) (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 (log.f64 (hypot.f64 re im)) (log1p.f64 (-.f64 base #s(literal 1 binary64))))
(exp.f64 (log.f64 (/.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 (exp.f64 (log.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 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64))) (log.f64 base))
(/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64)) (log.f64 base))
(/.f64 (pow.f64 (sqrt.f64 (log.f64 im)) #s(literal 2 binary64)) (log.f64 base))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (log.f64 im))
Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Calls

4 calls:

10.0ms
re
8.0ms
(log.f64 base)
8.0ms
im
8.0ms
base
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)

regimes15.0ms (0.1%)

Accuracy

Total -27.7b remaining (-5286.3%)

Threshold costs -27.7b (-5286.3%)

Counts
9 → 1
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 im) (log1p.f64 (-.f64 base #s(literal 1 binary64))))
(-.f64 (+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
Outputs
(/.f64 (log.f64 im) (log.f64 base))
Calls

4 calls:

5.0ms
re
3.0ms
(log.f64 base)
3.0ms
base
3.0ms
im
Results
AccuracySegmentsBranch
99.2%1re
99.2%1im
99.2%1base
99.2%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 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
Outputs
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))

soundness851.0ms (6.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
086674
1185652
2306652
3568398
41055350
51803350
65717350
084829619
1202628829
2780528829
022230
1312230
23458230
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
Compiler

Compiled 415 to 108 computations (74% saved)

preprocess62.0ms (0.5%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 346 to 244 computations (29.5% saved)

end0.0ms (0%)

Profiling

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