math.log/2 on complex, real part

Time bar (total: 10.7s)

analyze163.0ms (1.5%)

Memory
12.6MiB live, 331.7MiB allocated
Algorithm
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 30 to 17 computations (43.3% saved)

sample1.9s (17.5%)

Memory
30.6MiB live, 2 808.6MiB allocated
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-hypot: 325.0ms (25% of total)
ival-mult: 316.0ms (24.3% of total)
ival-div: 235.0ms (18.1% of total)
ival-log: 234.0ms (18% of total)
ival-add: 110.0ms (8.5% of total)
ival-atan2: 67.0ms (5.2% of total)
ival-true: 6.0ms (0.5% of total)
...in/eval/compile.rkt:110:19: 3.0ms (0.2% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess164.0ms (1.5%)

Memory
-13.5MiB live, 145.9MiB allocated
Algorithm
egg-herbie
Rules
579×times-frac
512×fmm-def
479×associate-*r/
437×associate-*l/
437×distribute-rgt-neg-out
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
086674
1185652
2306652
3564398
41052350
51801350
65690350
Stop Event
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)) (*.f64 (log.f64 base) (neg.f64 (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)) (*.f64 (log.f64 base) (neg.f64 (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 (neg.f64 base)) (/.f64 (log.f64 (hypot.f64 re im)) (*.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 (/.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 #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)

explain304.0ms (2.8%)

Memory
-13.2MiB live, 566.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1380-1(3.8137421145907074e-177 2.713051749574534e-162 1.7714986103163498e-179)(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
00-0-(log.f64 base)
00-0-(*.f64 re re)
00-0-(atan2.f64 im re)
00-0-im
00-0-(+.f64 (*.f64 re re) (*.f64 im im))
00-0-re
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-(/.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-#s(literal 0 binary64)
00-0-(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
00-0-(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
00-0-(*.f64 (log.f64 base) (log.f64 base))
00-0-(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
00-0-(*.f64 im im)
00-0-base
00-0-(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))oflow-rescue1170
(+.f64 (*.f64 re re) (*.f64 im im))overflow117
(*.f64 re re)overflow20
(*.f64 im im)overflow117
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))uflow-rescue200
(+.f64 (*.f64 re re) (*.f64 im im))underflow20
(*.f64 re re)underflow103
(*.f64 im im)underflow20
Confusion
Predicted +Predicted -
+1371
-0118
Precision
1.0
Recall
0.9927536231884058
Confusion?
Predicted +Predicted MaybePredicted -
+13701
-00118
Precision?
1.0
Recall?
0.9927536231884058
Freqs
test
numberfreq
0119
1137
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
89.0ms512×0valid
Compiler

Compiled 304 to 76 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 19.0ms (34.2% of total)
ival-log: 13.0ms (23.4% of total)
ival-hypot: 9.0ms (16.2% of total)
ival-add: 7.0ms (12.6% of total)
ival-atan2: 4.0ms (7.2% of total)
ival-div: 3.0ms (5.4% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Compiler

Compiled 59 to 18 computations (69.5% saved)

prune2.0ms (0%)

Memory
6.1MiB live, 6.0MiB allocated
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)))
99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
99.2%
(*.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)

simplify516.0ms (4.8%)

Memory
-6.8MiB live, 70.0MiB allocated
Algorithm
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
2 128×cube-prod
1 115×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
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))

localize80.0ms (0.7%)

Memory
-12.4MiB live, 191.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 base)
accuracy99.4%
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
accuracy99.4%
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
accuracy99.1%
(*.f64 (log.f64 base) (log.f64 base))
accuracy100.0%
(hypot.f64 re im)
accuracy100.0%
(log.f64 (hypot.f64 re im))
accuracy100.0%
(log.f64 base)
accuracy99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
accuracy100.0%
(log.f64 base)
accuracy99.5%
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
accuracy99.4%
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
accuracy99.1%
(*.f64 (log.f64 base) (log.f64 base))
accuracy100.0%
(log.f64 (hypot.f64 re im))
accuracy100.0%
(log.f64 base)
accuracy99.5%
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (log.f64 base))
Samples
48.0ms256×0valid
Compiler

Compiled 122 to 17 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 10.0ms (32.6% of total)
ival-mult: 8.0ms (26.1% of total)
ival-hypot: 7.0ms (22.8% of total)
ival-log: 6.0ms (19.5% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series184.0ms (1.7%)

Memory
2.9MiB live, 274.5MiB allocated
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))))))>
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#<alt (log.f64 re)>
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#<alt im>
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#<alt re>
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#<alt (*.f64 #s(literal -1 binary64) re)>
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#<alt re>
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#<alt im>
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#<alt (*.f64 #s(literal -1 binary64) im)>
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Calls

69 calls:

TimeVariablePointExpression
66.0ms
im
@inf
(* (log (sqrt (+ (* re re) (* im im)))) (/ (log base) (* (log base) (log base))))
54.0ms
base
@0
(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
13.0ms
base
@-inf
(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
9.0ms
base
@inf
(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))
3.0ms
im
@inf
(* (log (sqrt (+ (* re re) (* im im)))) (/ 1 (log base)))

rewrite347.0ms (3.2%)

Memory
21.4MiB live, 423.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 037×log1p-expm1-u
1 037×expm1-log1p-u
181×expm1-undefine
181×log1p-undefine
135×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022230
1312230
23458230
Stop Event
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)))
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(*.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))
(*.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)))

simplify459.0ms (4.3%)

Memory
-18.3MiB live, 651.0MiB allocated
Algorithm
egg-herbie
Rules
719×times-frac
459×fma-define
396×associate-/r*
327×*-commutative
327×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084829619
1202628829
2780528829
Stop Event
node limit
Counts
703 → 575
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
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(/.f64 (log.f64 re) (log.f64 base))
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(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
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(log.f64 im)
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(log.f64 re)
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im
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re
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(*.f64 #s(literal -1 binary64) re)
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re
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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))

eval179.0ms (1.7%)

Memory
39.7MiB live, 293.6MiB allocated
Compiler

Compiled 33 543 to 3 293 computations (90.2% saved)

prune254.0ms (2.4%)

Memory
9.7MiB live, 461.7MiB allocated
Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New1 529211 550
Fresh000
Picked224
Done000
Total1 531231 554
Accuracy
100.0%
Counts
1 554 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.9%
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
51.8%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
97.9%
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
98.9%
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
99.4%
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (log.f64 base))
99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
48.7%
(/.f64 (log.f64 (hypot.f64 re im)) (expm1.f64 (log1p.f64 (log.f64 base))))
48.8%
(/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (log.f64 (log.f64 base))))
99.0%
(/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
99.1%
(/.f64 (log.f64 im) (log.f64 base))
74.8%
(/.f64 (expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
74.0%
(/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
99.1%
(/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))) (log.f64 base))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))
99.3%
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
98.7%
(*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
98.9%
(*.f64 (log.f64 im) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
98.9%
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
98.8%
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
98.8%
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
74.0%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
52.0%
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
98.9%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)))
Compiler

Compiled 544 to 404 computations (25.7% saved)

simplify66.0ms (0.6%)

Memory
-20.5MiB live, 57.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (log.f64 base) #s(literal 3 binary64))
cost-diff0
(hypot.f64 re im)
cost-diff12864
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))
cost-diff12864
(/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
cost-diff0
(hypot.f64 re im)
cost-diff0
(log1p.f64 (log.f64 (hypot.f64 re im)))
cost-diff12800
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
cost-diff12800
(/.f64 (expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
cost-diff0
(log.f64 base)
cost-diff0
(log.f64 im)
cost-diff0
(*.f64 (log.f64 im) (log.f64 base))
cost-diff13056
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
cost-diff0
(log.f64 base)
cost-diff0
(log.f64 im)
cost-diff0
(/.f64 (log.f64 im) (log.f64 base))
cost-diff0
(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
976×fmm-def
368×associate-/r/
344×times-frac
295×associate-/l/
229×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030532
152532
283522
3100492
4164492
5387492
61207492
72171492
84023492
Stop Event
node limit
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
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
(*.f64 (log.f64 base) (log.f64 base))
(/.f64 (expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(log1p.f64 (log.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(log.f64 base)
base
(/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(log.f64 base)
base
#s(literal 3 binary64)
Outputs
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (log.f64 base))
(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 #s(literal 2 binary64) (log.f64 base)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im))))
#s(literal 2 binary64)
(log.f64 (sqrt.f64 (hypot.f64 re im)))
(sqrt.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(log.f64 base)
base
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (log.f64 im) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 im))
(log.f64 im)
im
(log.f64 base)
base
(*.f64 (log.f64 base) (log.f64 base))
(/.f64 (expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 (hypot.f64 re im)) #s(literal 0 binary64)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (hypot.f64 re im)) #s(literal 0 binary64))
(log.f64 (hypot.f64 re im))
(log1p.f64 (log.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (hypot.f64 re im)) #s(literal 0 binary64))
(hypot.f64 re im)
re
im
(log.f64 base)
base
(/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 (hypot.f64 re im)) #s(literal 0 binary64)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log.f64 (hypot.f64 re im))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (hypot.f64 re im)) #s(literal 0 binary64))
(hypot.f64 re im)
re
im
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(log.f64 base)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(log.f64 base)
base
#s(literal 3 binary64)

localize96.0ms (0.9%)

Memory
15.9MiB live, 131.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 base)
accuracy99.5%
(/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
accuracy99.4%
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))
accuracy99.1%
(pow.f64 (log.f64 base) #s(literal 3 binary64))
accuracy100.0%
(log.f64 base)
accuracy99.9%
(log1p.f64 (log.f64 (hypot.f64 re im)))
accuracy99.5%
(/.f64 (expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
accuracy98.6%
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
accuracy100.0%
(log.f64 base)
accuracy99.6%
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
accuracy99.5%
(*.f64 (log.f64 im) (log.f64 base))
accuracy99.3%
(*.f64 (log.f64 base) (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)))
accuracy99.5%
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (log.f64 base))
Samples
48.0ms195×0valid
16.0ms61×0invalid
Compiler

Compiled 139 to 25 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-log: 14.0ms (32% of total)
ival-div: 9.0ms (20.6% of total)
ival-mult: 4.0ms (9.1% of total)
ival-hypot: 4.0ms (9.1% of total)
ival-pow: 4.0ms (9.1% of total)
ival-expm1: 2.0ms (4.6% of total)
ival-cbrt: 2.0ms (4.6% of total)
ival-log1p: 2.0ms (4.6% of total)
ival-sqrt: 2.0ms (4.6% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series179.0ms (1.7%)

Memory
11.9MiB live, 245.9MiB allocated
Counts
14 → 320
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 (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))>
#<alt (*.f64 (log.f64 im) (log.f64 base))>
#<alt (/.f64 (expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))>
#<alt (expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))>
#<alt (log1p.f64 (log.f64 (hypot.f64 re im)))>
#<alt (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))>
#<alt (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))>
#<alt (pow.f64 (log.f64 base) #s(literal 3 binary64))>
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)))))>
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#<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 (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 base)>
#<alt (log.f64 base)>
#<alt (log.f64 base)>
#<alt (log.f64 base)>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 3 binary64)))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 3 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 3 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 3 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 3 binary64))>
Calls

84 calls:

TimeVariablePointExpression
51.0ms
base
@0
(/ (* 2 (log (sqrt (sqrt (+ (* re re) (* im im)))))) (log base))
19.0ms
im
@0
(/ (log im) (log base))
16.0ms
base
@0
(/ (log im) (log base))
9.0ms
im
@inf
(/ (log im) (log base))
7.0ms
im
@-inf
(/ (log im) (log base))

rewrite217.0ms (2%)

Memory
-9.1MiB live, 144.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 005×log1p-expm1-u
545×expm1-log1p-u
322×prod-diff
171×add-exp-log
169×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030326
1419276
24995276
Stop Event
node limit
Counts
14 → 471
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)
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 im) (log.f64 base))
(/.f64 (expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(log1p.f64 (log.f64 (hypot.f64 re im)))
(/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 1 binary64))
(-.f64 (/.f64 (+.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 #s(literal 2 binary64) (log.f64 base)))
(*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (cbrt.f64 (pow.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 (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 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 base)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (cbrt.f64 (pow.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))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.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))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1 binary64)))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(+.f64 (+.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)) #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 (+.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.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) (*.f64 (+.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)) (+.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(log.f64 (hypot.f64 re im))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(log1p.f64 (-.f64 (hypot.f64 re im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))))
(+.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))))) #s(literal 1 binary64))
(*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (hypot.f64 re im)))
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(*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (cbrt.f64 (pow.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 (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 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 base)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (cbrt.f64 (pow.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))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.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))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 base))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 base) #s(literal 2 binary64))) (log.f64 (cbrt.f64 base)))
(+.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 base))) #s(literal 1 binary64))
(*.f64 (log.f64 base) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 base))
(*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 base))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(fabs.f64 (log.f64 base))
(log.f64 base)
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 base #s(literal 1 binary64))))
(expm1.f64 (log1p.f64 (log.f64 base)))
(log1p.f64 (-.f64 base #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 base))) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 3 binary64)))
(*.f64 (*.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 base))) #s(literal 1 binary64)))

simplify824.0ms (7.7%)

Memory
-12.3MiB live, 596.5MiB allocated
Algorithm
egg-herbie
Rules
617×times-frac
413×distribute-lft-in
409×distribute-rgt-in
397×associate-+r+
369×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0129539072
1331636126
Stop Event
node limit
Counts
791 → 795
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)))))))
(+.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)))))))
(*.f64 #s(literal 2 binary64) (/.f64 (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))))
(+.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)))))
(+.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))))))
(*.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 1/2 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))))
(+.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)))))
(+.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 (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 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 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 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 re))) (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 re))) (log.f64 base))) (*.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 (*.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 (cbrt.f64 (pow.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))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1 binary64)))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(+.f64 (+.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)) #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 (+.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) #s(literal 2 binary64))
(*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.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 (sqrt.f64 (hypot.f64 re im)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (hypot.f64 re im)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (hypot.f64 re im)))) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (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)))))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))))) (sqrt.f64 (log.f64 (sqrt.f64 (hypot.f64 re im)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.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) (*.f64 (+.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)) (+.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))
(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)))
(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)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))) #s(literal 1 binary64))
(*.f64 (log1p.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (sqrt.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))))
(pow.f64 (log1p.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(log.f64 (+.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))))
(exp.f64 (log.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) #s(literal 1 binary64))
(-.f64 (/.f64 (+.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 #s(literal 2 binary64) (log.f64 base)))
(*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (cbrt.f64 (pow.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 (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 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 base)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (cbrt.f64 (pow.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))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (cbrt.f64 (pow.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))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 base))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 base) #s(literal 2 binary64))) (log.f64 (cbrt.f64 base)))
(+.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 base))) #s(literal 1 binary64))
(*.f64 (log.f64 base) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 base))
(*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 base))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(fabs.f64 (log.f64 base))
(log.f64 base)
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 base #s(literal 1 binary64))))
(expm1.f64 (log1p.f64 (log.f64 base)))
(log1p.f64 (-.f64 base #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 base))) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 3 binary64)))
(*.f64 (*.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 base))) #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)))
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(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 base)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 base))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (log.f64 base)))
(*.f64 (log.f64 base) #s(literal 1 binary64))
(log.f64 base)
(*.f64 #s(literal 1 binary64) (log.f64 base))
(log.f64 base)
(*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(log.f64 base)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 base))
(log.f64 base)
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(log.f64 base)
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(log.f64 base)
(pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 base)
(pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64))
(log.f64 base)
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
(log.f64 base)
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(log.f64 base)
(fabs.f64 (log.f64 base))
(log.f64 base)
(log.f64 base)
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 base #s(literal 1 binary64))))
(log1p.f64 (+.f64 base #s(literal -1 binary64)))
(log.f64 (+.f64 base #s(literal 0 binary64)))
(expm1.f64 (log1p.f64 (log.f64 base)))
(log1p.f64 (-.f64 base #s(literal 1 binary64)))
(log1p.f64 (+.f64 base #s(literal -1 binary64)))
(log.f64 (+.f64 base #s(literal 0 binary64)))
(exp.f64 (log.f64 (log.f64 base)))
(log.f64 base)
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(log.f64 base)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 base))) #s(literal 1/3 binary64)))
(log.f64 base)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1 binary64))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (cbrt.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (cbrt.f64 (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))))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 3 binary64)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(*.f64 (*.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (log.f64 base) (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 3 binary64)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 base))))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 base))) #s(literal 1 binary64)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))
(pow.f64 (log.f64 base) #s(literal 3 binary64))

eval228.0ms (2.1%)

Memory
38.8MiB live, 373.1MiB allocated
Compiler

Compiled 33 151 to 4 618 computations (86.1% saved)

prune420.0ms (3.9%)

Memory
-18.5MiB live, 464.5MiB allocated
Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New1 452211 473
Fresh14216
Picked415
Done022
Total1 470261 496
Accuracy
100.0%
Counts
1 496 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.6%
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
51.6%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))
97.6%
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64))
74.6%
(/.f64 (pow.f64 (sqrt.f64 (log.f64 im)) #s(literal 2 binary64)) (log.f64 base))
98.9%
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
99.0%
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (log.f64 base))
99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
97.8%
(/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
99.1%
(/.f64 (log.f64 im) (log.f64 base))
48.5%
(/.f64 (log.f64 im) (expm1.f64 (log1p.f64 (log.f64 base))))
48.6%
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
98.7%
(/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
74.7%
(/.f64 (expm1.f64 (log1p.f64 (log.f64 im))) (log.f64 base))
73.9%
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
98.8%
(/.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64))) (log.f64 base))
98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
98.9%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
99.3%
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
98.7%
(*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
98.9%
(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
98.5%
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
98.8%
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
98.5%
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
73.7%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
51.7%
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
98.6%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)))
Compiler

Compiled 536 to 424 computations (20.9% saved)

simplify211.0ms (2%)

Memory
27.7MiB live, 67.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 base)
cost-diff0
(log.f64 im)
cost-diff0
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
cost-diff12864
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64))
cost-diff0
(log.f64 base)
cost-diff0
(log.f64 im)
cost-diff0
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64))
cost-diff12864
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)))
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
(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
4 946×associate-+r-
722×sub-neg
682×+-commutative
266×associate-*r*
190×associate-+l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026465
150423
2106423
3309423
4923423
51264423
61859423
72344423
82513423
92630423
102630423
112630423
122630423
132630423
144239423
154852423
165208423
175208423
185208423
195208423
Stop Event
node limit
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
(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
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
#s(literal 3 binary64)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64))
(cbrt.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 3 binary64)
Outputs
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (log.f64 base))
(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im)))
#s(literal 2 binary64)
(log.f64 (sqrt.f64 im))
(sqrt.f64 im)
im
(log.f64 base)
base
(*.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
(log1p.f64 (expm1.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))
(expm1.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
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64))
(/.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
#s(literal 3 binary64)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.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
#s(literal 3 binary64)

localize526.0ms (4.9%)

Memory
-54.8MiB live, 135.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 base)
accuracy99.4%
(/.f64 (log.f64 im) (log.f64 base))
accuracy99.1%
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
accuracy99.0%
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64))
accuracy100.0%
(log.f64 base)
accuracy99.4%
(/.f64 (log.f64 im) (log.f64 base))
accuracy99.1%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)))
accuracy98.8%
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64))
accuracy100.0%
(log.f64 base)
accuracy99.4%
(/.f64 (log.f64 im) (log.f64 base))
accuracy99.3%
(expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))
accuracy99.1%
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
accuracy100.0%
(log.f64 im)
accuracy100.0%
(log.f64 base)
accuracy99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (log.f64 base))
accuracy100.0%
(sqrt.f64 im)
accuracy100.0%
(log.f64 base)
accuracy100.0%
(log.f64 (sqrt.f64 im))
accuracy99.4%
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (log.f64 base))
Samples
441.0ms256×0valid
Compiler

Compiled 120 to 23 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 425.0ms
ival-div: 393.0ms (92.5% of total)
ival-log: 9.0ms (2.1% of total)
ival-pow: 9.0ms (2.1% of total)
ival-mult: 3.0ms (0.7% of total)
ival-expm1: 3.0ms (0.7% of total)
ival-cbrt: 3.0ms (0.7% of total)
ival-log1p: 3.0ms (0.7% of total)
ival-sqrt: 2.0ms (0.5% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series132.0ms (1.2%)

Memory
20.7MiB live, 247.4MiB allocated
Counts
11 → 204
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 (log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))>
#<alt (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)))>
#<alt (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64))>
#<alt (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))>
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)))>
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#<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 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))>
#<alt (/.f64 (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 3 binary64))))>
#<alt (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 3 binary64)))>
#<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 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))>
#<alt (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))>
#<alt (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))>
#<alt (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))>
#<alt (cbrt.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)))>
#<alt (cbrt.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)))>
#<alt (cbrt.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)))>
#<alt (cbrt.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)))>
#<alt (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base)))))>
#<alt (cbrt.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))))))>
#<alt (cbrt.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))))))>
#<alt (cbrt.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))))))>
#<alt (cbrt.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))))))>
Calls

57 calls:

TimeVariablePointExpression
60.0ms
im
@0
(/ (* 2 (log (sqrt im))) (log base))
21.0ms
im
@-inf
(/ (* 2 (log (sqrt im))) (log base))
10.0ms
im
@inf
(/ (* 2 (log (sqrt im))) (log base))
7.0ms
base
@0
(/ (* 2 (log (sqrt im))) (log base))
4.0ms
im
@-inf
(cbrt (/ (log im) (log base)))

rewrite263.0ms (2.4%)

Memory
17.1MiB live, 217.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
990×log1p-expm1-u
989×expm1-log1p-u
607×log-prod
177×expm1-undefine
177×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026270
1339210
23485210
Stop Event
node limit
Counts
11 → 496
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))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64))
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
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 (/.f64 (log.f64 im) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.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)) (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 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (log.f64 im)))
(*.f64 (sqrt.f64 (log.f64 im)) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 im)) (*.f64 (sqrt.f64 (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)))))
(*.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 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)) #s(literal 2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (cbrt.f64 (pow.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)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (cbrt.f64 (log.f64 base))))
(*.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 (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)) (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 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 im)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/6 binary64))) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/6 binary64)))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) #s(literal 3/2 binary64))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))
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(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 im))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)) (log.f64 im)) (log.f64 base))
(/.f64 (*.f64 (log.f64 im) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) (log.f64 base))
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)) (neg.f64 (log.f64 im))) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (neg.f64 (log.f64 im)) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) (neg.f64 (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)))
(+.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 (/.f64 (log.f64 im) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.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)) (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 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (log.f64 im)))
(*.f64 (sqrt.f64 (log.f64 im)) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 im)) (*.f64 (sqrt.f64 (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)))))
(*.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 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)) #s(literal 2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (cbrt.f64 (pow.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)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (cbrt.f64 (log.f64 base))))
(*.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 (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)) (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 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 im)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/6 binary64))) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal 1 binary64)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 im) #s(literal -1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 im))) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 im) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (cbrt.f64 (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))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))) (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 im)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 im)))
(*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/6 binary64)) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 im))))
(/.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base)))
(/.f64 (cbrt.f64 (neg.f64 (log.f64 im))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (cbrt.f64 (log.f64 im))) (neg.f64 (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/9 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))
(pow.f64 (cbrt.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 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)))

simplify301.0ms (2.8%)

Memory
-5.9MiB live, 424.5MiB allocated
Algorithm
egg-herbie
Rules
361×exp-prod
360×cube-prod
316×associate-*r*
307×associate-*l*
293×distribute-lft-neg-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05914294990491
110584294989140
238044294989012
Stop Event
node limit
Counts
700 → 368
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)))
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(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)))
(+.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 (/.f64 (log.f64 im) (log.f64 base))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (/.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)) (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 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (log.f64 im)))
(*.f64 (sqrt.f64 (log.f64 im)) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 im)) (*.f64 (sqrt.f64 (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)))))
(*.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 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)) #s(literal 2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (cbrt.f64 (pow.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)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (cbrt.f64 (log.f64 base))))
(*.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 (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)) (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 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 im)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/6 binary64))) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal 1 binary64)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 im) #s(literal -1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 im))) (cbrt.f64 (log.f64 base)))
(/.f64 (*.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 im) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (cbrt.f64 (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))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))) (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (log.f64 im)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 im)))
(*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/6 binary64)) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 im))))
(/.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base)))
(/.f64 (cbrt.f64 (neg.f64 (log.f64 im))) (cbrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (cbrt.f64 (log.f64 im))) (neg.f64 (cbrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/9 binary64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))
(pow.f64 (cbrt.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 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)))
Outputs
(*.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 #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 #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 #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 #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)))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))
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(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 im)))
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(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))
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(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 3 binary64))
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(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64))))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1/3 binary64)))
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)))
(cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))

eval152.0ms (1.4%)

Memory
1.8MiB live, 266.6MiB allocated
Compiler

Compiled 15 995 to 2 696 computations (83.1% saved)

prune349.0ms (3.2%)

Memory
20.0MiB live, 308.4MiB allocated
Pruning

27 alts after pruning (19 fresh and 8 done)

PrunedKeptTotal
New1 12721 129
Fresh11718
Picked055
Done033
Total1 128271 155
Accuracy
100.0%
Counts
1 155 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.6%
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
51.6%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))
97.6%
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64))
74.6%
(/.f64 (pow.f64 (sqrt.f64 (log.f64 im)) #s(literal 2 binary64)) (log.f64 base))
98.9%
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
99.0%
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (log.f64 base))
99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
97.8%
(/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
99.1%
(/.f64 (log.f64 im) (log.f64 base))
48.5%
(/.f64 (log.f64 im) (expm1.f64 (log1p.f64 (log.f64 base))))
48.6%
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
98.7%
(/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
74.7%
(/.f64 (expm1.f64 (log1p.f64 (log.f64 im))) (log.f64 base))
73.9%
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
98.8%
(/.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64))) (log.f64 base))
98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
98.9%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
99.3%
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
98.9%
(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
98.4%
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))) (log.f64 im))
98.0%
(log1p.f64 (-.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 1 binary64)))
98.5%
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
98.8%
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
98.5%
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
73.7%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
51.7%
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
98.6%
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)))
Compiler

Compiled 503 to 397 computations (21.1% saved)

simplify49.0ms (0.5%)

Memory
-18.9MiB live, 20.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 base)
cost-diff0
(log.f64 im)
cost-diff0
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
cost-diff12864
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 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 im)
cost-diff0
(log.f64 (log.f64 im))
cost-diff12800
(exp.f64 (log.f64 (log.f64 im)))
cost-diff12800
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
cost-diff0
(log.f64 base)
cost-diff0
(/.f64 #s(literal 1 binary64) (log.f64 base))
cost-diff0
(pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base)))
cost-diff0
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
cost-diff0
(log.f64 im)
cost-diff0
(log.f64 base)
cost-diff0
(/.f64 (log.f64 base) (log.f64 im))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
Rules
*-commutative
associate-*r*
1-exp
*-lft-identity
prod-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027403
137403
242373
351373
475373
582373
683373
Stop Event
saturated
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
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
(pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base)))
im
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
(exp.f64 (log.f64 (log.f64 im)))
(log.f64 (log.f64 im))
(log.f64 im)
im
(log.f64 base)
base
(/.f64 (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
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))
(sqrt.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 2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
#s(literal 1 binary64)
(/.f64 (log.f64 base) (log.f64 im))
(log.f64 base)
base
(log.f64 im)
im
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
(pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base)))
im
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (log.f64 (log.f64 im)))
(log.f64 im)
(log.f64 (log.f64 im))
(log.f64 im)
im
(log.f64 base)
base
(/.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64))) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.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
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(log.f64 im)
im
(log.f64 base)
base
#s(literal 2 binary64)

localize89.0ms (0.8%)

Memory
-11.3MiB live, 146.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 base)
accuracy99.9%
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
accuracy99.8%
(/.f64 (log.f64 im) (log.f64 base))
accuracy99.7%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))
accuracy100.0%
(log.f64 base)
accuracy99.8%
(/.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64))) (log.f64 base))
accuracy99.7%
(cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)))
accuracy99.6%
(pow.f64 (log.f64 im) #s(literal 3 binary64))
accuracy100.0%
(log.f64 base)
accuracy100.0%
(log.f64 (log.f64 im))
accuracy99.8%
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
accuracy99.3%
(exp.f64 (log.f64 (log.f64 im)))
accuracy100.0%
(log.f64 base)
accuracy99.8%
(/.f64 #s(literal 1 binary64) (log.f64 base))
accuracy99.7%
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
accuracy99.7%
(pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base)))
accuracy100.0%
(log.f64 im)
accuracy100.0%
(log.f64 base)
accuracy99.8%
(/.f64 (log.f64 base) (log.f64 im))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
Samples
34.0ms157×0invalid
22.0ms99×0valid
Compiler

Compiled 113 to 24 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-log: 14.0ms (35.2% of total)
ival-div: 9.0ms (22.6% of total)
ival-pow: 8.0ms (20.1% of total)
ival-pow2: 3.0ms (7.5% of total)
ival-exp: 2.0ms (5% of total)
ival-cbrt: 2.0ms (5% of total)
ival-sqrt: 2.0ms (5% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series307.0ms (2.9%)

Memory
9.6MiB live, 280.0MiB allocated
Counts
12 → 216
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 (log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))>
#<alt (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base)))>
#<alt (/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))>
#<alt (exp.f64 (log.f64 (log.f64 im)))>
#<alt (log.f64 (log.f64 im))>
#<alt (/.f64 (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 (pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))>
#<alt (sqrt.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 (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))>
#<alt (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)))>
#<alt (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)))>
#<alt (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)))>
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#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
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#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
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#<alt (sqrt.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))))))>
#<alt (sqrt.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))))))>
Calls

60 calls:

TimeVariablePointExpression
146.0ms
base
@-inf
(log (pow im (/ 1 (log base))))
22.0ms
im
@-inf
(log (log im))
21.0ms
im
@-inf
(log (pow im (/ 1 (log base))))
20.0ms
im
@0
(log (log im))
20.0ms
im
@inf
(log (pow im (/ 1 (log base))))

rewrite312.0ms (2.9%)

Memory
26.6MiB live, 184.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
981×log1p-expm1-u
981×expm1-log1p-u
578×log-prod
180×expm1-undefine
180×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027216
1350216
23072216
Stop Event
node limit
Counts
12 → 546
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 base) (log.f64 im))
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
(pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
(exp.f64 (log.f64 (log.f64 im)))
(log.f64 (log.f64 im))
(/.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))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
Outputs
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))) (log.f64 (pow.f64 (cbrt.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base)))) #s(literal 2 binary64))))
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(+.f64 (log.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
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(*.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 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (log.f64 im) (cbrt.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 (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)) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))) (neg.f64 (log.f64 im)))
(*.f64 (*.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (log.f64 base))))
(*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 im)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (neg.f64 (log.f64 im))))
(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 im) #s(literal -1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (log.f64 im) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -2 binary64)))
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (sqrt.f64 (log.f64 im)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base)))
(/.f64 (sqrt.f64 (neg.f64 (log.f64 im))) (sqrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 im)))))
(/.f64 (neg.f64 (sqrt.f64 (log.f64 im))) (neg.f64 (sqrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.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 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)))

simplify285.0ms (2.7%)

Memory
16.5MiB live, 443.5MiB allocated
Algorithm
egg-herbie
Rules
368×exp-prod
355×cube-prod
298×distribute-lft-neg-out
252×associate-*r*
250×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055020536
192319714
2344219652
Stop Event
node limit
Counts
762 → 336
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)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 im)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 im)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 im)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 im)))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (log.f64 im))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (log.f64 im))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (log.f64 im))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (log.f64 im))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(/.f64 (log.f64 base) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (log.f64 base) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (log.f64 base) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (log.f64 base) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
(exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
(exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
(exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base))))
(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)))
(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)))
(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)))
(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)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
(exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
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(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -2 binary64)))
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (sqrt.f64 (log.f64 im)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base)))
(/.f64 (sqrt.f64 (neg.f64 (log.f64 im))) (sqrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 im)))))
(/.f64 (neg.f64 (sqrt.f64 (log.f64 im))) (neg.f64 (sqrt.f64 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.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 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.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)))))
(/.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))))
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(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))))
(/.f64 (log.f64 im) (log.f64 base))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (log.f64 im) (log.f64 base))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64)))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/4 binary64)))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (sqrt.f64 (log.f64 im)))
(*.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base)))
(/.f64 (sqrt.f64 (neg.f64 (log.f64 im))) (sqrt.f64 (neg.f64 (log.f64 base))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 im)))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))))
(/.f64 (neg.f64 (sqrt.f64 (log.f64 im))) (neg.f64 (sqrt.f64 (log.f64 base))))
(/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 3 binary64))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(fabs.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))

eval188.0ms (1.7%)

Memory
-9.0MiB live, 201.4MiB allocated
Compiler

Compiled 12 900 to 2 453 computations (81% saved)

prune451.0ms (4.2%)

Memory
-2.6MiB live, 267.5MiB allocated
Pruning

21 alts after pruning (12 fresh and 9 done)

PrunedKeptTotal
New9423945
Fresh5914
Picked145
Done358
Total95121972
Accuracy
100.0%
Counts
972 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.6%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))
74.6%
(/.f64 (pow.f64 (sqrt.f64 (log.f64 im)) #s(literal 2 binary64)) (log.f64 base))
98.8%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
98.9%
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
99.0%
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 im))) (log.f64 base))
99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
97.8%
(/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
99.1%
(/.f64 (log.f64 im) (log.f64 base))
48.6%
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
98.7%
(/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
74.7%
(/.f64 (expm1.f64 (log1p.f64 (log.f64 im))) (log.f64 base))
73.9%
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
98.9%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
97.9%
(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (log.f64 im)))))
98.9%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
99.3%
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
98.0%
(log1p.f64 (-.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 1 binary64)))
98.8%
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
98.5%
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
73.7%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))
Compiler

Compiled 708 to 310 computations (56.2% saved)

regimes80.0ms (0.7%)

Memory
3.8MiB live, 119.8MiB allocated
Counts
52 → 1
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(log.f64 (pow.f64 im (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (*.f64 #s(literal 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))))
(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 (expm1.f64 (log1p.f64 (log.f64 im))) (log.f64 base))
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
(/.f64 (log.f64 im) (expm1.f64 (log1p.f64 (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64))) (log.f64 base))
(/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (log.f64 im)) #s(literal 2 binary64)) (log.f64 base))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))) (log.f64 im))
(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.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)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (log.f64 im) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
(/.f64 (expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (log.f64 (log.f64 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (expm1.f64 (log1p.f64 (log.f64 base))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Calls

5 calls:

20.0ms
(log.f64 base)
16.0ms
re
15.0ms
base
13.0ms
im
12.0ms
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Results
AccuracySegmentsBranch
99.4%1re
99.4%1im
99.4%1base
99.4%1(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.4%1(log.f64 base)
Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes109.0ms (1%)

Memory
-16.0MiB live, 22.7MiB allocated
Accuracy

Total -0.7b remaining (-116.4%)

Threshold costs -0.7b (-116.4%)

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

4 calls:

101.0ms
re
3.0ms
base
3.0ms
(log.f64 base)
3.0ms
im
Results
AccuracySegmentsBranch
99.1%1re
99.1%1im
99.1%1base
99.1%1(log.f64 base)
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify2.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

soundness217.0ms (2%)

Memory
4.6MiB live, 125.8MiB allocated
Rules
579×times-frac
512×fmm-def
479×associate-*r/
437×associate-*l/
437×distribute-rgt-neg-out
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
086674
1185652
2306652
3564398
41052350
51801350
65690350
Stop Event
fuel
node limit
Compiler

Compiled 347 to 78 computations (77.5% saved)

preprocess165.0ms (1.5%)

Memory
18.8MiB live, 97.8MiB allocated
Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 272 to 180 computations (33.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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