math.log/2 on complex, real part

Time bar (total: 10.4s)

analyze214.0ms (2%)

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

Compiled 32 to 19 computations (40.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-mult: 50.0ms (39.2% of total)
ival-log: 27.0ms (21.2% of total)
ival-add: 18.0ms (14.1% of total)
ival-atan2: 12.0ms (9.4% of total)
ival-sqrt: 12.0ms (9.4% of total)
ival-div: 6.0ms (4.7% of total)
const: 2.0ms (1.6% of total)
backward-pass: 1.0ms (0.8% of total)

sample1.5s (14.8%)

Results
1.2s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 903.0ms
ival-mult: 317.0ms (35.1% of total)
ival-log: 211.0ms (23.4% of total)
ival-add: 136.0ms (15.1% of total)
ival-atan2: 89.0ms (9.9% of total)
ival-sqrt: 77.0ms (8.5% of total)
ival-div: 56.0ms (6.2% of total)
const: 12.0ms (1.3% of total)
backward-pass: 4.0ms (0.4% of total)
Bogosity

preprocess243.0ms (2.3%)

Algorithm
2×egg-herbie
Rules
4084×*-lowering-*.f32
4084×*-lowering-*.f64
1940×fnmadd-define
1908×sum3-define
1878×cube-prod
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
079149
1177139
2314139
363389
4130675
5235975
6718275
01814
13013
23913
3519
4607
5627
61157
73337
814497
924927
1037737
1140897
1245597
1353047
1463517
1576587
080177
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
Outputs
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Call 2
Inputs
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (+ (* (log (sqrt (+ (* (neg re) (neg re)) (* im im)))) (log base)) (* (atan2 im (neg re)) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (+ (* (log (sqrt (+ (* re re) (* (neg im) (neg im))))) (log base)) (* (atan2 (neg im) re) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log (neg base))) (* (atan2 im re) 0)) (+ (* (log (neg base)) (log (neg base))) (* 0 0)))
(neg (/ (+ (* (log (sqrt (+ (* (neg re) (neg re)) (* im im)))) (log base)) (* (atan2 im (neg re)) 0)) (+ (* (log base) (log base)) (* 0 0))))
(neg (/ (+ (* (log (sqrt (+ (* re re) (* (neg im) (neg im))))) (log base)) (* (atan2 (neg im) re) 0)) (+ (* (log base) (log base)) (* 0 0))))
(neg (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log (neg base))) (* (atan2 im re) 0)) (+ (* (log (neg base)) (log (neg base))) (* 0 0))))
(/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) (* (atan2 re im) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (+ (* (log (sqrt (+ (* base base) (* im im)))) (log re)) (* (atan2 im base) 0)) (+ (* (log re) (log re)) (* 0 0)))
(/ (+ (* (log (sqrt (+ (* re re) (* base base)))) (log im)) (* (atan2 base re) 0)) (+ (* (log im) (log im)) (* 0 0)))
Outputs
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (log (hypot re im)) (log base))
(/ (+ (* (log (sqrt (+ (* (neg re) (neg re)) (* im im)))) (log base)) (* (atan2 im (neg re)) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (log (hypot re im)) (log base))
(/ (+ (* (log (sqrt (+ (* re re) (* (neg im) (neg im))))) (log base)) (* (atan2 (neg im) re) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (log (hypot re im)) (log base))
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log (neg base))) (* (atan2 im re) 0)) (+ (* (log (neg base)) (log (neg base))) (* 0 0)))
(/ (log (hypot re im)) (log (neg base)))
(neg (/ (+ (* (log (sqrt (+ (* (neg re) (neg re)) (* im im)))) (log base)) (* (atan2 im (neg re)) 0)) (+ (* (log base) (log base)) (* 0 0))))
(/ (log (hypot re im)) (neg (log base)))
(neg (/ (+ (* (log (sqrt (+ (* re re) (* (neg im) (neg im))))) (log base)) (* (atan2 (neg im) re) 0)) (+ (* (log base) (log base)) (* 0 0))))
(/ (log (hypot re im)) (neg (log base)))
(neg (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log (neg base))) (* (atan2 im re) 0)) (+ (* (log (neg base)) (log (neg base))) (* 0 0))))
(/ (log (hypot re im)) (neg (log (neg base))))
(/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) (* (atan2 re im) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (log (hypot re im)) (log base))
(/ (+ (* (log (sqrt (+ (* base base) (* im im)))) (log re)) (* (atan2 im base) 0)) (+ (* (log re) (log re)) (* 0 0)))
(/ (log (hypot im base)) (log re))
(/ (+ (* (log (sqrt (+ (* re re) (* base base)))) (log im)) (* (atan2 base re) 0)) (+ (* (log im) (log im)) (* 0 0)))
(/ (log (hypot re base)) (log im))
Symmetry

(abs re)

(abs im)

(sort re im)

explain222.0ms (2.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1220-5(1.0759196836493375e-209 5.136094090952466e-162 1.4653648194010533e+236)(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
00-0-base
00-0-(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
00-0-(*.f64 im im)
00-0-(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
00-0-(*.f64 (log.f64 base) (log.f64 base))
00-0-(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
00-0-(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
00-0-#s(literal 0 binary64)
00-0-(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
00-0-(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
00-0-(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64)))
00-0-re
00-0-(+.f64 (*.f64 re re) (*.f64 im im))
00-0-im
00-0-(atan2.f64 im re)
00-0-(*.f64 re re)
00-0-(log.f64 base)
Results
113.0ms512×0valid
Compiler

Compiled 277 to 56 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 25.0ms (36.9% of total)
ival-log: 13.0ms (19.2% of total)
ival-sqrt: 11.0ms (16.2% of total)
ival-add: 10.0ms (14.8% of total)
ival-atan2: 5.0ms (7.4% of total)
ival-div: 4.0ms (5.9% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.6%
(/.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%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Compiler

Compiled 41 to 25 computations (39% saved)

simplify198.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff320
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
✓cost-diff6592
(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
✓cost-diff7040
(+.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)))
✓cost-diff20352
(/.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))))
✓cost-diff0
(log.f64 base)
✓cost-diff0
(hypot.f64 re im)
✓cost-diff0
(log.f64 (hypot.f64 re im))
✓cost-diff0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Rules
4168×*-lowering-*.f32
4168×*-lowering-*.f64
1908×sum3-define
1850×cube-prod
1670×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01982
13180
24080
35180
46080
56280
611580
732780
8140480
9244280
10377280
11407980
12455180
13528280
14631480
15762180
16797380
0802180
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
(log (sqrt (+ (* re re) (* im im))))
(sqrt (+ (* re re) (* im im)))
re
im
(log base)
base
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
(+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
(log (sqrt (+ (* re re) (* im im))))
(sqrt (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(* re re)
re
(* im im)
im
(log base)
base
(* (atan2 im re) 0)
(atan2 im re)
0
(+ (* (log base) (log base)) (* 0 0))
(* (log base) (log base))
(* 0 0)
Outputs
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log (sqrt (+ (* re re) (* im im))))
(log.f64 (hypot.f64 re im))
(sqrt (+ (* re re) (* im im)))
(hypot.f64 re im)
re
im
(log base)
(log.f64 base)
base
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log (sqrt (+ (* re re) (* im im))))
(log.f64 (hypot.f64 re im))
(sqrt (+ (* re re) (* im im)))
(hypot.f64 re im)
(+ (* re re) (* im im))
(+.f64 (*.f64 re re) (*.f64 im im))
(* re re)
(*.f64 re re)
re
(* im im)
(*.f64 im im)
im
(log base)
(log.f64 base)
base
(* (atan2 im re) 0)
#s(literal 0 binary64)
(atan2 im re)
(atan2.f64 im re)
0
#s(literal 0 binary64)
(+ (* (log base) (log base)) (* 0 0))
(*.f64 (log.f64 base) (log.f64 base))
(* (log base) (log base))
(*.f64 (log.f64 base) (log.f64 base))
(* 0 0)
#s(literal 0 binary64)

localize140.0ms (1.3%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
✓accuracy99.4%
(/.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))))
✓accuracy99.3%
(*.f64 (log.f64 base) (log.f64 base))
✓accuracy56.5%
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
✓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))
Results
111.0ms256×0valid
Compiler

Compiled 142 to 22 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-add: 30.0ms (42.8% of total)
ival-mult: 13.0ms (18.6% of total)
ival-log: 9.0ms (12.8% of total)
compiled-spec: 9.0ms (12.8% of total)
ival-sqrt: 4.0ms (5.7% of total)
ival-div: 3.0ms (4.3% of total)
ival-atan2: 2.0ms (2.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series130.0ms (1.3%)

Counts
10 → 264
Calls
Call 1
Inputs
#<alt (/ (log (sqrt (+ (* re re) (* im im)))) (log base))>
#<alt (log (sqrt (+ (* re re) (* im im))))>
#<alt (sqrt (+ (* re re) (* im im)))>
#<alt (log base)>
#<alt (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))>
#<alt (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))>
#<alt (* (atan2 im re) 0)>
#<alt (* (log (sqrt (+ (* re re) (* im im)))) (log base))>
#<alt (sqrt (+ (* re re) (* im im)))>
#<alt (* (log base) (log base))>
Outputs
#<alt (/ (log im) (log base))>
#<alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))>
#<alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))>
#<alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))>
#<alt (* -1 (/ (log (/ 1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (/ (log re) (log base))>
#<alt (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))>
#<alt (+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))>
#<alt (+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log im)>
#<alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (* -1 (log (/ 1 re)))>
#<alt (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* -1 (log (/ -1 re)))>
#<alt (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (log re)>
#<alt (+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))>
#<alt (+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* -1 (log (/ -1 im)))>
#<alt (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt im>
#<alt (+ im (* 1/2 (/ (pow re 2) im)))>
#<alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))>
#<alt (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))>
#<alt re>
#<alt (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))>
#<alt (* -1 re)>
#<alt (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))>
#<alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))>
#<alt re>
#<alt (+ re (* 1/2 (/ (pow im 2) re)))>
#<alt (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))>
#<alt (+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))>
#<alt im>
#<alt (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))>
#<alt (* -1 im)>
#<alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))>
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (/ (log im) (log base))>
#<alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))>
#<alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))>
#<alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))>
#<alt (* -1 (/ (log (/ 1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (/ (log re) (log base))>
#<alt (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))>
#<alt (+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))>
#<alt (+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (* (log base) (log im))>
#<alt (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))>
#<alt (+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))>
#<alt (+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))>
#<alt (* -1 (* (log base) (log (/ 1 re))))>
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))>
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))>
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))>
#<alt (* -1 (* (log base) (log (/ -1 re))))>
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))>
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))>
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))>
#<alt (* (log base) (log re))>
#<alt (+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))>
#<alt (+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))>
#<alt (+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))>
#<alt (* -1 (* (log base) (log (/ 1 im))))>
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))>
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))>
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))>
#<alt (* -1 (* (log base) (log (/ -1 im))))>
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))>
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))>
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))>
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))>
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))>
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))>
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))>
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* (log base) (log im))>
#<alt (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))>
#<alt (+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))>
#<alt (+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))>
#<alt (* -1 (* (log base) (log (/ 1 re))))>
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))>
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))>
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))>
#<alt (* -1 (* (log base) (log (/ -1 re))))>
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))>
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))>
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))>
#<alt (* (log base) (log re))>
#<alt (+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))>
#<alt (+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))>
#<alt (+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))>
#<alt (* -1 (* (log base) (log (/ 1 im))))>
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))>
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))>
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))>
#<alt (* -1 (* (log base) (log (/ -1 im))))>
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))>
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))>
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))>
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))>
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))>
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))>
#<alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))>
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt im>
#<alt (+ im (* 1/2 (/ (pow re 2) im)))>
#<alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))>
#<alt (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))>
#<alt re>
#<alt (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))>
#<alt (* -1 re)>
#<alt (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))>
#<alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))>
#<alt re>
#<alt (+ re (* 1/2 (/ (pow im 2) re)))>
#<alt (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))>
#<alt (+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))>
#<alt im>
#<alt (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))>
#<alt (* -1 im)>
#<alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))>
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
Calls

66 calls:

TimeVariablePointExpression
67.0ms
base
@0
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
25.0ms
base
@inf
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
13.0ms
base
@-inf
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
7.0ms
im
@-inf
(sqrt (+ (* re re) (* im im)))
2.0ms
re
@0
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))

rewrite410.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
3994×*-lowering-*.f32
3994×*-lowering-*.f64
2992×/-lowering-/.f32
2992×/-lowering-/.f64
1164×sum5-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01953
19450
272850
3700050
0825850
Stop Event
1×iter limit
1×node limit
Counts
10 → 694
Calls
Call 1
Inputs
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
(log (sqrt (+ (* re re) (* im im))))
(sqrt (+ (* re re) (* im im)))
(log base)
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
(+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))
(* (atan2 im re) 0)
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
(sqrt (+ (* re re) (* im im)))
(* (log base) (log base))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 base))) (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)))
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(/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 18 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 12 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 6 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 base)) (log.f64 base))
(/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base))
(/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 base))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 18 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal 12 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (log.f64 base)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 base))) (log.f64 base))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal -1 binary64)) (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 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(*.f64 (exp.f64 (log.f64 (log.f64 base))) (exp.f64 (log.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.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)) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 12 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))

simplify347.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
4444×*-lowering-*.f32
4444×*-lowering-*.f64
3660×+-lowering-+.f64
3660×+-lowering-+.f32
1326×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03624474
111184052
238504046
081024046
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (log (/ -1 re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(log re)
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))
(+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))
(* -1 (log (/ 1 im)))
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (log (/ -1 im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(log base)
(log base)
(log base)
(log base)
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log base) (log im))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(* -1 (* (log base) (log (/ 1 re))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* -1 (* (log base) (log (/ -1 re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(* -1 (* (log base) (log (/ 1 im))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(* (log base) (log im))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(* -1 (* (log base) (log (/ 1 re))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* -1 (* (log base) (log (/ -1 re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(* -1 (* (log base) (log (/ 1 im))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
Outputs
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+.f64 (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) im) im) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+.f64 (*.f64 (*.f64 re re) (+.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+.f64 (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base)))) (*.f64 re (*.f64 re (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) (pow.f64 im #s(literal 6 binary64))) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im))))))))) (/.f64 (log.f64 im) (log.f64 base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(/.f64 (log.f64 re) (log.f64 base))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re))) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (*.f64 (*.f64 re re) (*.f64 re re))) (log.f64 base))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re))) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (*.f64 (*.f64 re re) (*.f64 re re))) (log.f64 base))) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
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(*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re) (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1/8 binary64)) (*.f64 (*.f64 re re) (*.f64 re re))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1/8 binary64)) (*.f64 (*.f64 re re) (*.f64 re re))) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 re #s(literal 6 binary64)))))))
(* -1 re)
(-.f64 #s(literal 0 binary64) re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re)) (-.f64 #s(literal 0 binary64) re))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(*.f64 re (+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re) (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1/8 binary64)) (*.f64 (*.f64 re re) (*.f64 re re)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1/8 binary64)) (*.f64 (*.f64 re re) (*.f64 re re))) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 re #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) re))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+.f64 re (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) re))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+.f64 re (*.f64 (*.f64 im im) (+.f64 (/.f64 (*.f64 (*.f64 im im) #s(literal -1/8 binary64)) (*.f64 re (*.f64 re re))) (/.f64 #s(literal 1/2 binary64) re))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
(+.f64 re (*.f64 (*.f64 im im) (+.f64 (/.f64 #s(literal 1/2 binary64) re) (*.f64 im (*.f64 im (+.f64 (/.f64 (*.f64 (*.f64 im im) #s(literal 1/16 binary64)) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 re (*.f64 re re)))))))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) im) im)))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(*.f64 im (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) im) im)) (/.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal -1/8 binary64)) (*.f64 (*.f64 im im) (*.f64 im im)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(*.f64 im (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal -1/8 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) im) im)) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 im #s(literal 6 binary64))))))
(* -1 im)
(-.f64 #s(literal 0 binary64) im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) im) im)) (-.f64 #s(literal 0 binary64) im))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) im) im)) (/.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal -1/8 binary64)) (*.f64 (*.f64 im im) (*.f64 im im)))) (-.f64 #s(literal 0 binary64) im))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal -1/8 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) im) im)) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 im #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) im))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))

eval142.0ms (1.4%)

Compiler

Compiled 36833 to 2381 computations (93.5% saved)

prune232.0ms (2.2%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New1013201033
Fresh000
Picked112
Done000
Total1014211035
Accuracy
99.9%
Counts
1035 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.5%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)))
54.5%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
▶54.6%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
▶54.5%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)))) (log.f64 base))
54.4%
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
54.6%
(/.f64 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 base))
98.2%
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶99.3%
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
49.0%
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
✓99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
48.7%
(/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
▶98.4%
(/.f64 (log.f64 im) (log.f64 base))
54.6%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)))))
54.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
54.5%
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
54.4%
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
54.6%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
54.5%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) (log.f64 base))
▶54.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
54.5%
(*.f64 (log.f64 base) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
29.5%
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) #s(literal -1 binary64)))
Compiler

Compiled 790 to 539 computations (31.8% saved)

simplify299.0ms (2.9%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f64 base)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓cost-diff13184
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base))))
✓cost-diff13184
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)))) (log.f64 base))
✓cost-diff0
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
✓cost-diff12864
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓cost-diff12992
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im 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)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
✓cost-diff0
(log.f64 base)
✓cost-diff0
(log.f64 im)
✓cost-diff0
(/.f64 (log.f64 im) (log.f64 base))
✓cost-diff0
(hypot.f64 re im)
✓cost-diff0
(log.f64 (hypot.f64 re im))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓cost-diff256
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
Rules
5734×*-lowering-*.f32
5734×*-lowering-*.f64
3220×cube-prod
2070×/-lowering-/.f32
2070×/-lowering-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028215
160215
2175212
3525212
41544212
51693212
61786212
71997212
82299212
92734212
104857212
115572212
126415212
136756212
146970212
157618212
167784212
177950212
08581212
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (log (sqrt (+ (* re re) (* im im)))) (/ 1 (/ 1 (log base))))
(log (sqrt (+ (* re re) (* im im))))
(sqrt (+ (* re re) (* im im)))
re
im
(/ 1 (/ 1 (log base)))
1
(/ 1 (log base))
(log base)
base
(/ (log im) (log base))
(log im)
im
(log base)
base
(/ (/ 1 (log base)) (/ 2 (log (+ (* re re) (* im im)))))
(/ 1 (log base))
1
(log base)
base
(/ 2 (log (+ (* re re) (* im im))))
2
(log (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(* re re)
re
(* im im)
im
(* (* 1/2 (log (+ (* re re) (* im im)))) (/ (log base) (pow (log base) 2)))
(* 1/2 (log (+ (* re re) (* im im))))
1/2
(log (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(* re re)
re
(* im im)
im
(/ (log base) (pow (log base) 2))
(log base)
base
(pow (log base) 2)
2
(/ (* (/ 1 (log base)) (* 1/2 (* (log (+ (* re re) (* im im))) (log base)))) (log base))
(* (/ 1 (log base)) (* 1/2 (* (log (+ (* re re) (* im im))) (log base))))
(/ 1 (log base))
1
(log base)
base
(* 1/2 (* (log (+ (* re re) (* im im))) (log base)))
1/2
(* (log (+ (* re re) (* im im))) (log base))
(log (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(* re re)
re
(* im im)
im
Outputs
(/ (log (sqrt (+ (* re re) (* im im)))) (/ 1 (/ 1 (log base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log (sqrt (+ (* re re) (* im im))))
(log.f64 (hypot.f64 re im))
(sqrt (+ (* re re) (* im im)))
(hypot.f64 re im)
re
im
(/ 1 (/ 1 (log base)))
(log.f64 base)
1
#s(literal 1 binary64)
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log base)
(log.f64 base)
base
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(log im)
(log.f64 im)
im
(log base)
(log.f64 base)
base
(/ (/ 1 (log base)) (/ 2 (log (+ (* re re) (* im im)))))
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 2 binary64)))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
1
#s(literal 1 binary64)
(log base)
(log.f64 base)
base
(/ 2 (log (+ (* re re) (* im im))))
(/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
2
#s(literal 2 binary64)
(log (+ (* re re) (* im im)))
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+ (* re re) (* im im))
(+.f64 (*.f64 re re) (*.f64 im im))
(* re re)
(*.f64 re re)
re
(* im im)
(*.f64 im im)
im
(* (* 1/2 (log (+ (* re re) (* im im)))) (/ (log base) (pow (log base) 2)))
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 2 binary64)))
(* 1/2 (log (+ (* re re) (* im im))))
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64))
1/2
#s(literal 1/2 binary64)
(log (+ (* re re) (* im im)))
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+ (* re re) (* im im))
(+.f64 (*.f64 re re) (*.f64 im im))
(* re re)
(*.f64 re re)
re
(* im im)
(*.f64 im im)
im
(/ (log base) (pow (log base) 2))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log base)
(log.f64 base)
base
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (* (/ 1 (log base)) (* 1/2 (* (log (+ (* re re) (* im im))) (log base)))) (log base))
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 2 binary64)))
(* (/ 1 (log base)) (* 1/2 (* (log (+ (* re re) (* im im))) (log base))))
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
1
#s(literal 1 binary64)
(log base)
(log.f64 base)
base
(* 1/2 (* (log (+ (* re re) (* im im))) (log base)))
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 #s(literal 2 binary64) (log.f64 base)))
1/2
#s(literal 1/2 binary64)
(* (log (+ (* re re) (* im im))) (log base))
(*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(log (+ (* re re) (* im im)))
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+ (* re re) (* im im))
(+.f64 (*.f64 re re) (*.f64 im im))
(* re re)
(*.f64 re re)
re
(* im im)
(*.f64 im im)
im

localize186.0ms (1.8%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base))
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base))))
✓accuracy99.4%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)))) (log.f64 base))
✓accuracy55.0%
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
✓accuracy99.5%
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓accuracy99.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
✓accuracy99.3%
(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓accuracy55.0%
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓accuracy99.5%
(/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
✓accuracy99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
✓accuracy55.0%
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
✓accuracy100.0%
(log.f64 im)
✓accuracy100.0%
(log.f64 base)
✓accuracy99.4%
(/.f64 (log.f64 im) (log.f64 base))
✓accuracy100.0%
(log.f64 base)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓accuracy99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
Results
122.0ms256×0valid
Compiler

Compiled 268 to 29 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-log: 28.0ms (35.1% of total)
ival-mult: 17.0ms (21.3% of total)
ival-div: 13.0ms (16.3% of total)
compiled-spec: 10.0ms (12.5% of total)
ival-sqrt: 4.0ms (5% of total)
ival-add: 3.0ms (3.8% of total)
ival-pow: 3.0ms (3.8% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series144.0ms (1.4%)

Counts
18 → 432
Calls
Call 1
Inputs
#<alt (/ (log (sqrt (+ (* re re) (* im im)))) (/ 1 (/ 1 (log base))))>
#<alt (/ 1 (/ 1 (log base)))>
#<alt (log (sqrt (+ (* re re) (* im im))))>
#<alt (sqrt (+ (* re re) (* im im)))>
#<alt (/ (log im) (log base))>
#<alt (log im)>
#<alt (log base)>
#<alt (/ (/ 1 (log base)) (/ 2 (log (+ (* re re) (* im im)))))>
#<alt (/ 1 (log base))>
#<alt (/ 2 (log (+ (* re re) (* im im))))>
#<alt (* (* 1/2 (log (+ (* re re) (* im im)))) (/ (log base) (pow (log base) 2)))>
#<alt (/ (log base) (pow (log base) 2))>
#<alt (* 1/2 (log (+ (* re re) (* im im))))>
#<alt (log (+ (* re re) (* im im)))>
#<alt (/ (* (/ 1 (log base)) (* 1/2 (* (log (+ (* re re) (* im im))) (log base)))) (log base))>
#<alt (* (/ 1 (log base)) (* 1/2 (* (log (+ (* re re) (* im im))) (log base))))>
#<alt (pow (log base) 2)>
#<alt (* (log (+ (* re re) (* im im))) (log base))>
Outputs
#<alt (/ (log im) (log base))>
#<alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))>
#<alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))>
#<alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))>
#<alt (* -1 (/ (log (/ 1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (/ (log re) (log base))>
#<alt (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))>
#<alt (+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))>
#<alt (+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (log im)>
#<alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (* -1 (log (/ 1 re)))>
#<alt (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* -1 (log (/ -1 re)))>
#<alt (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (log re)>
#<alt (+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))>
#<alt (+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* -1 (log (/ -1 im)))>
#<alt (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt im>
#<alt (+ im (* 1/2 (/ (pow re 2) im)))>
#<alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))>
#<alt (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))>
#<alt re>
#<alt (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))>
#<alt (* -1 re)>
#<alt (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))>
#<alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))>
#<alt re>
#<alt (+ re (* 1/2 (/ (pow im 2) re)))>
#<alt (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))>
#<alt (+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))>
#<alt im>
#<alt (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))>
#<alt (* -1 im)>
#<alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))>
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))>
#<alt (* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (* 1/2 (/ (log (pow im 2)) (log base)))>
#<alt (+ (* 1/2 (/ (log (pow im 2)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* 1/2 (/ (log (pow im 2)) (log base))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))))>
#<alt (+ (* 1/2 (/ (log (pow im 2)) (log base))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))))>
#<alt (* -1 (/ (log (/ 1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (* 1/2 (/ (log (pow re 2)) (log base)))>
#<alt (+ (* 1/2 (/ (log (pow re 2)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* 1/2 (/ (log (pow re 2)) (log base))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))))>
#<alt (+ (* 1/2 (/ (log (pow re 2)) (log base))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 2 (log (pow im 2)))>
#<alt (+ (* -2 (/ (pow re 2) (* (pow im 2) (pow (log (pow im 2)) 2)))) (* 2 (/ 1 (log (pow im 2)))))>
#<alt (+ (* (pow re 2) (- (* (pow re 2) (+ (/ 1 (* (pow im 4) (pow (log (pow im 2)) 2))) (* 2 (/ 1 (* (pow im 4) (pow (log (pow im 2)) 3)))))) (* 2 (/ 1 (* (pow im 2) (pow (log (pow im 2)) 2)))))) (* 2 (/ 1 (log (pow im 2)))))>
#<alt (+ (* (pow re 2) (- (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* 2/3 (/ 1 (* (pow im 6) (pow (log (pow im 2)) 2)))) (+ (* 2 (/ 1 (* (pow im 6) (pow (log (pow im 2)) 3)))) (* 2 (/ 1 (* (pow im 6) (pow (log (pow im 2)) 4)))))))) (+ (* 2 (/ 1 (* (pow im 4) (pow (log (pow im 2)) 3)))) (/ 1 (* (pow im 4) (pow (log (pow im 2)) 2)))))) (* 2 (/ 1 (* (pow im 2) (pow (log (pow im 2)) 2)))))) (* 2 (/ 1 (log (pow im 2)))))>
#<alt (/ -1 (log (/ 1 re)))>
#<alt (- (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re))))>
#<alt (- (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3)))) (pow re 4))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re)))))>
#<alt (- (* -1 (/ (+ (* -1/8 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (+ (* 1/6 (/ (pow im 6) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3))))) (log (/ 1 re)))))) (pow re 6))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re)))))))>
#<alt (/ -1 (log (/ -1 re)))>
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#<alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (* (log base) (log (pow im 2)))>
#<alt (+ (* (log base) (log (pow im 2))) (/ (* (pow re 2) (log base)) (pow im 2)))>
#<alt (+ (* (log base) (log (pow im 2))) (* (pow re 2) (+ (* -1/2 (/ (* (pow re 2) (log base)) (pow im 4))) (/ (log base) (pow im 2)))))>
#<alt (+ (* (log base) (log (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (+ (* -1/2 (/ (log base) (pow im 4))) (* 1/3 (/ (* (pow re 2) (log base)) (pow im 6))))) (/ (log base) (pow im 2)))))>
#<alt (* -2 (* (log base) (log (/ 1 re))))>
#<alt (+ (* -2 (* (log base) (log (/ 1 re)))) (/ (* (pow im 2) (log base)) (pow re 2)))>
#<alt (+ (* -2 (* (log base) (log (/ 1 re)))) (+ (* -1/2 (/ (* (pow im 4) (log base)) (pow re 4))) (/ (* (pow im 2) (log base)) (pow re 2))))>
#<alt (+ (* -2 (* (log base) (log (/ 1 re)))) (+ (* -1/2 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/3 (/ (* (pow im 6) (log base)) (pow re 6))) (/ (* (pow im 2) (log base)) (pow re 2)))))>
#<alt (* -2 (* (log base) (log (/ -1 re))))>
#<alt (+ (* -2 (* (log base) (log (/ -1 re)))) (/ (* (pow im 2) (log base)) (pow re 2)))>
#<alt (+ (* -2 (* (log base) (log (/ -1 re)))) (+ (* -1/2 (/ (* (pow im 4) (log base)) (pow re 4))) (/ (* (pow im 2) (log base)) (pow re 2))))>
#<alt (+ (* -2 (* (log base) (log (/ -1 re)))) (+ (* -1/2 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/3 (/ (* (pow im 6) (log base)) (pow re 6))) (/ (* (pow im 2) (log base)) (pow re 2)))))>
#<alt (* (log base) (log (pow re 2)))>
#<alt (+ (* (log base) (log (pow re 2))) (/ (* (pow im 2) (log base)) (pow re 2)))>
#<alt (+ (* (log base) (log (pow re 2))) (* (pow im 2) (+ (* -1/2 (/ (* (pow im 2) (log base)) (pow re 4))) (/ (log base) (pow re 2)))))>
#<alt (+ (* (log base) (log (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (+ (* -1/2 (/ (log base) (pow re 4))) (* 1/3 (/ (* (pow im 2) (log base)) (pow re 6))))) (/ (log base) (pow re 2)))))>
#<alt (* -2 (* (log base) (log (/ 1 im))))>
#<alt (+ (* -2 (* (log base) (log (/ 1 im)))) (/ (* (pow re 2) (log base)) (pow im 2)))>
#<alt (+ (* -2 (* (log base) (log (/ 1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (/ (* (pow re 2) (log base)) (pow im 2))))>
#<alt (+ (* -2 (* (log base) (log (/ 1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/3 (/ (* (pow re 6) (log base)) (pow im 6))) (/ (* (pow re 2) (log base)) (pow im 2)))))>
#<alt (* -2 (* (log base) (log (/ -1 im))))>
#<alt (+ (* -2 (* (log base) (log (/ -1 im)))) (/ (* (pow re 2) (log base)) (pow im 2)))>
#<alt (+ (* -2 (* (log base) (log (/ -1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (/ (* (pow re 2) (log base)) (pow im 2))))>
#<alt (+ (* -2 (* (log base) (log (/ -1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/3 (/ (* (pow re 6) (log base)) (pow im 6))) (/ (* (pow re 2) (log base)) (pow im 2)))))>
#<alt (* (log base) (log (+ (pow im 2) (pow re 2))))>
#<alt (* (log base) (log (+ (pow im 2) (pow re 2))))>
#<alt (* (log base) (log (+ (pow im 2) (pow re 2))))>
#<alt (* (log base) (log (+ (pow im 2) (pow re 2))))>
#<alt (* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))>
Calls

108 calls:

TimeVariablePointExpression
36.0ms
im
@0
(/ (log im) (log base))
23.0ms
re
@0
(/ 2 (log (+ (* re re) (* im im))))
19.0ms
base
@0
(/ (/ 1 (log base)) (/ 2 (log (+ (* re re) (* im im)))))
14.0ms
base
@0
(/ (log im) (log base))
10.0ms
im
@-inf
(/ (log im) (log base))

rewrite514.0ms (4.9%)

Algorithm
1×batch-egg-rewrite
Rules
3004×*-lowering-*.f32
3004×*-lowering-*.f64
2020×/-lowering-/.f32
2020×/-lowering-/.f64
1188×sum5-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02890
113686
289886
3600986
0830986
Stop Event
1×iter limit
1×node limit
Counts
18 → 1171
Calls
Call 1
Inputs
(/ (log (sqrt (+ (* re re) (* im im)))) (/ 1 (/ 1 (log base))))
(/ 1 (/ 1 (log base)))
(log (sqrt (+ (* re re) (* im im))))
(sqrt (+ (* re re) (* im im)))
(/ (log im) (log base))
(log im)
(log base)
(/ (/ 1 (log base)) (/ 2 (log (+ (* re re) (* im im)))))
(/ 1 (log base))
(/ 2 (log (+ (* re re) (* im im))))
(* (* 1/2 (log (+ (* re re) (* im im)))) (/ (log base) (pow (log base) 2)))
(/ (log base) (pow (log base) 2))
(* 1/2 (log (+ (* re re) (* im im))))
(log (+ (* re re) (* im im)))
(/ (* (/ 1 (log base)) (* 1/2 (* (log (+ (* re re) (* im im))) (log base)))) (log base))
(* (/ 1 (log base)) (* 1/2 (* (log (+ (* re re) (* im im))) (log base))))
(pow (log base) 2)
(* (log (+ (* re re) (* im im))) (log base))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 base))) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) #s(literal -2 binary64))))
(neg.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) #s(literal -2 binary64))))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 (log.f64 base) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (/.f64 (log.f64 base) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal -2 binary64))))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re re) (*.f64 im im)))) (*.f64 (log.f64 base) #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base))) #s(literal -2 binary64))
(/.f64 (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (*.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re re) (*.f64 im im)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (*.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 (log.f64 base) #s(literal 1/2 binary64))))
(*.f64 (log.f64 base) (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (log.f64 base) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64)))
(*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base)))
(*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(*.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (log.f64 base) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re re) (*.f64 im im)))) (/.f64 #s(literal -1/2 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (log.f64 base) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 #s(literal -1 binary64) (log.f64 base))) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(*.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal -2 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 base)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 base)) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 base)) (*.f64 (*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 base)) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(*.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (log.f64 base)))
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(*.f64 (/.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base))))
(*.f64 (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (/.f64 (/.f64 (log.f64 base) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (/.f64 (log.f64 base) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (/.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (/.f64 (*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 (log.f64 base) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (log.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (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 (log.f64 base) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -2 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(-.f64 (/.f64 (log.f64 (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 (log.f64 (+.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(-.f64 (/.f64 (log.f64 (-.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 (log.f64 (-.f64 (*.f64 re re) (*.f64 im im))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(neg.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re re) (*.f64 im im))))))
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re re) (*.f64 im im)))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 #s(literal -1 binary64) (log.f64 base))) #s(literal -1 binary64))
(/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re re) (*.f64 im im))))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base))
(*.f64 (*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re re) (*.f64 im im)))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 #s(literal -1 binary64) (log.f64 base))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(*.f64 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))

simplify332.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
4738×*-lowering-*.f32
4738×*-lowering-*.f64
3136×+-lowering-+.f64
3136×+-lowering-+.f32
1892×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07017841
122037496
276347496
080067496
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(log base)
(log base)
(log base)
(log base)
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (log (/ -1 re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(log re)
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))
(+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))
(* -1 (log (/ 1 im)))
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (log (/ -1 im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
im
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(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))
(log (pow re 2))
(+ (log (pow re 2)) (/ (pow im 2) (pow re 2)))
(+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))))
(+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))
(* -2 (log (/ 1 im)))
(+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(* -2 (log (/ -1 im)))
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(* 1/2 (/ (log (pow im 2)) (log base)))
(+ (* 1/2 (/ (log (pow im 2)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* 1/2 (/ (log (pow im 2)) (log base))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))))
(+ (* 1/2 (/ (log (pow im 2)) (log base))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* 1/2 (/ (log (pow re 2)) (log base)))
(+ (* 1/2 (/ (log (pow re 2)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* 1/2 (/ (log (pow re 2)) (log base))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))))
(+ (* 1/2 (/ (log (pow re 2)) (log base))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* 1/2 (log (+ (pow im 2) (pow re 2))))
(* 1/2 (log (+ (pow im 2) (pow re 2))))
(* 1/2 (log (+ (pow im 2) (pow re 2))))
(* 1/2 (log (+ (pow im 2) (pow re 2))))
(* 1/2 (log (+ (pow im 2) (pow re 2))))
(* 1/2 (log (+ (pow im 2) (pow re 2))))
(* 1/2 (log (+ (pow im 2) (pow re 2))))
(* 1/2 (log (+ (pow im 2) (pow re 2))))
(* 1/2 (log (+ (pow im 2) (pow re 2))))
(* 1/2 (log (+ (pow im 2) (pow re 2))))
(* 1/2 (log (+ (pow im 2) (pow re 2))))
(* 1/2 (log (+ (pow im 2) (pow re 2))))
(* 1/2 (log (pow im 2)))
(+ (* 1/2 (log (pow im 2))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/6 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (log (/ -1 re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/6 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* 1/2 (log (pow re 2)))
(+ (* 1/2 (log (pow re 2))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* 1/2 (log (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))
(+ (* 1/2 (log (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))
(* -1 (log (/ 1 im)))
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (log (/ -1 im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (log base) (log (pow im 2)))
(+ (* (log base) (log (pow im 2))) (/ (* (pow re 2) (log base)) (pow im 2)))
(+ (* (log base) (log (pow im 2))) (* (pow re 2) (+ (* -1/2 (/ (* (pow re 2) (log base)) (pow im 4))) (/ (log base) (pow im 2)))))
(+ (* (log base) (log (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (+ (* -1/2 (/ (log base) (pow im 4))) (* 1/3 (/ (* (pow re 2) (log base)) (pow im 6))))) (/ (log base) (pow im 2)))))
(* -2 (* (log base) (log (/ 1 re))))
(+ (* -2 (* (log base) (log (/ 1 re)))) (/ (* (pow im 2) (log base)) (pow re 2)))
(+ (* -2 (* (log base) (log (/ 1 re)))) (+ (* -1/2 (/ (* (pow im 4) (log base)) (pow re 4))) (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -2 (* (log base) (log (/ 1 re)))) (+ (* -1/2 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/3 (/ (* (pow im 6) (log base)) (pow re 6))) (/ (* (pow im 2) (log base)) (pow re 2)))))
(* -2 (* (log base) (log (/ -1 re))))
(+ (* -2 (* (log base) (log (/ -1 re)))) (/ (* (pow im 2) (log base)) (pow re 2)))
(+ (* -2 (* (log base) (log (/ -1 re)))) (+ (* -1/2 (/ (* (pow im 4) (log base)) (pow re 4))) (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -2 (* (log base) (log (/ -1 re)))) (+ (* -1/2 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/3 (/ (* (pow im 6) (log base)) (pow re 6))) (/ (* (pow im 2) (log base)) (pow re 2)))))
(* (log base) (log (pow re 2)))
(+ (* (log base) (log (pow re 2))) (/ (* (pow im 2) (log base)) (pow re 2)))
(+ (* (log base) (log (pow re 2))) (* (pow im 2) (+ (* -1/2 (/ (* (pow im 2) (log base)) (pow re 4))) (/ (log base) (pow re 2)))))
(+ (* (log base) (log (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (+ (* -1/2 (/ (log base) (pow re 4))) (* 1/3 (/ (* (pow im 2) (log base)) (pow re 6))))) (/ (log base) (pow re 2)))))
(* -2 (* (log base) (log (/ 1 im))))
(+ (* -2 (* (log base) (log (/ 1 im)))) (/ (* (pow re 2) (log base)) (pow im 2)))
(+ (* -2 (* (log base) (log (/ 1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -2 (* (log base) (log (/ 1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/3 (/ (* (pow re 6) (log base)) (pow im 6))) (/ (* (pow re 2) (log base)) (pow im 2)))))
(* -2 (* (log base) (log (/ -1 im))))
(+ (* -2 (* (log base) (log (/ -1 im)))) (/ (* (pow re 2) (log base)) (pow im 2)))
(+ (* -2 (* (log base) (log (/ -1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -2 (* (log base) (log (/ -1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/3 (/ (* (pow re 6) (log base)) (pow im 6))) (/ (* (pow re 2) (log base)) (pow im 2)))))
(* (log base) (log (+ (pow im 2) (pow re 2))))
(* (log base) (log (+ (pow im 2) (pow re 2))))
(* (log base) (log (+ (pow im 2) (pow re 2))))
(* (log base) (log (+ (pow im 2) (pow re 2))))
(* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))
Outputs
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+.f64 (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) im) im) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+.f64 (*.f64 (*.f64 re re) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (pow.f64 im #s(literal 4 binary64))) (log.f64 base)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+.f64 (*.f64 (*.f64 re re) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) (log.f64 base)) (*.f64 (*.f64 re re) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) (pow.f64 im #s(literal 6 binary64))) (log.f64 base)) (/.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(/.f64 (log.f64 re) (log.f64 base))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)) (log.f64 base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)) (log.f64 base)) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))) (log.f64 base))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(+.f64 (+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)) (log.f64 base)) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))) (log.f64 base)))) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))))
(* -1 (/ (log (/ -1 re)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)) (log.f64 base)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))) (log.f64 base)) (-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)) (log.f64 base)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(+.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))) (log.f64 base)) (-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)) (log.f64 base)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))))
(/ (log re) (log base))
(/.f64 (log.f64 re) (log.f64 base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)) (log.f64 base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 (*.f64 im im) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 im im) #s(literal -1/4 binary64)) (pow.f64 re #s(literal 4 binary64))) (log.f64 base)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) (log.f64 base)))))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 (*.f64 im im) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) (log.f64 base)) (*.f64 (*.f64 im im) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 im im) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 6 binary64))) (log.f64 base)) (/.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 base)))))))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+.f64 (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) im) im) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+.f64 (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) im) im) (log.f64 base)) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) im) im) (log.f64 base)) (+.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 im #s(literal 6 binary64))) (log.f64 base)))))
(* -1 (/ (log (/ -1 im)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
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(* -1 (log (/ -1 re)))
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(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)) (log.f64 (/.f64 #s(literal -1 binary64) re)))
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(* 1/2 (log (pow re 2)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 re re)))
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(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 im im) (*.f64 re re)) (log.f64 (*.f64 re re))))
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(+ (* 1/2 (log (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))
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(* -1 (log (/ 1 im)))
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(* -1 (log (/ -1 im)))
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(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
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(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) im) im) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(* (log base) (log (pow im 2)))
(*.f64 (log.f64 base) (log.f64 (*.f64 im im)))
(+ (* (log base) (log (pow im 2))) (/ (* (pow re 2) (log base)) (pow im 2)))
(+.f64 (*.f64 (log.f64 base) (log.f64 (*.f64 im im))) (*.f64 (/.f64 (*.f64 re re) im) (/.f64 (log.f64 base) im)))
(+ (* (log base) (log (pow im 2))) (* (pow re 2) (+ (* -1/2 (/ (* (pow re 2) (log base)) (pow im 4))) (/ (log base) (pow im 2)))))
(+.f64 (*.f64 (log.f64 base) (log.f64 (*.f64 im im))) (*.f64 (*.f64 re re) (+.f64 (/.f64 (log.f64 base) (*.f64 im im)) (/.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64))))))
(+ (* (log base) (log (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (+ (* -1/2 (/ (log base) (pow im 4))) (* 1/3 (/ (* (pow re 2) (log base)) (pow im 6))))) (/ (log base) (pow im 2)))))
(+.f64 (*.f64 (log.f64 base) (log.f64 (*.f64 im im))) (*.f64 (*.f64 re re) (+.f64 (/.f64 (log.f64 base) (*.f64 im im)) (*.f64 (*.f64 re re) (+.f64 (/.f64 (*.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/3 binary64)) (log.f64 base)) (pow.f64 im #s(literal 6 binary64))))))))
(* -2 (* (log base) (log (/ 1 re))))
(*.f64 (log.f64 base) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 re)) #s(literal -2 binary64)))
(+ (* -2 (* (log base) (log (/ 1 re)))) (/ (* (pow im 2) (log base)) (pow re 2)))
(+.f64 (*.f64 (log.f64 base) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 re)) #s(literal -2 binary64))) (/.f64 (*.f64 im (*.f64 im (log.f64 base))) (*.f64 re re)))
(+ (* -2 (* (log base) (log (/ 1 re)))) (+ (* -1/2 (/ (* (pow im 4) (log base)) (pow re 4))) (/ (* (pow im 2) (log base)) (pow re 2))))
(+.f64 (*.f64 (log.f64 base) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 re)) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 im (*.f64 im (log.f64 base))) (*.f64 re re)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 re #s(literal 4 binary64))))))
(+ (* -2 (* (log base) (log (/ 1 re)))) (+ (* -1/2 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/3 (/ (* (pow im 6) (log base)) (pow re 6))) (/ (* (pow im 2) (log base)) (pow re 2)))))
(+.f64 (+.f64 (*.f64 (log.f64 base) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 re)) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 im (*.f64 im (log.f64 base))) (*.f64 re re)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 re #s(literal 4 binary64)))))) (/.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/3 binary64)) (log.f64 base)) (pow.f64 re #s(literal 6 binary64))))
(* -2 (* (log base) (log (/ -1 re))))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (*.f64 (log.f64 base) #s(literal -2 binary64)))
(+ (* -2 (* (log base) (log (/ -1 re)))) (/ (* (pow im 2) (log base)) (pow re 2)))
(+.f64 (/.f64 (*.f64 im (*.f64 im (log.f64 base))) (*.f64 re re)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (*.f64 (log.f64 base) #s(literal -2 binary64))))
(+ (* -2 (* (log base) (log (/ -1 re)))) (+ (* -1/2 (/ (* (pow im 4) (log base)) (pow re 4))) (/ (* (pow im 2) (log base)) (pow re 2))))
(+.f64 (/.f64 (*.f64 im (*.f64 im (log.f64 base))) (*.f64 re re)) (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (*.f64 (log.f64 base) #s(literal -2 binary64)))))
(+ (* -2 (* (log base) (log (/ -1 re)))) (+ (* -1/2 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/3 (/ (* (pow im 6) (log base)) (pow re 6))) (/ (* (pow im 2) (log base)) (pow re 2)))))
(+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (+.f64 (/.f64 (*.f64 im (*.f64 im (log.f64 base))) (*.f64 re re)) (/.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/3 binary64)) (log.f64 base)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (*.f64 (log.f64 base) #s(literal -2 binary64)))))
(* (log base) (log (pow re 2)))
(*.f64 (log.f64 base) (log.f64 (*.f64 re re)))
(+ (* (log base) (log (pow re 2))) (/ (* (pow im 2) (log base)) (pow re 2)))
(+.f64 (/.f64 (*.f64 im (*.f64 im (log.f64 base))) (*.f64 re re)) (*.f64 (log.f64 base) (log.f64 (*.f64 re re))))
(+ (* (log base) (log (pow re 2))) (* (pow im 2) (+ (* -1/2 (/ (* (pow im 2) (log base)) (pow re 4))) (/ (log base) (pow re 2)))))
(+.f64 (*.f64 (log.f64 base) (log.f64 (*.f64 re re))) (*.f64 im (*.f64 im (+.f64 (/.f64 (/.f64 (log.f64 base) re) re) (/.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (log.f64 base)) (pow.f64 re #s(literal 4 binary64)))))))
(+ (* (log base) (log (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (+ (* -1/2 (/ (log base) (pow re 4))) (* 1/3 (/ (* (pow im 2) (log base)) (pow re 6))))) (/ (log base) (pow re 2)))))
(+.f64 (*.f64 (log.f64 base) (log.f64 (*.f64 re re))) (*.f64 im (*.f64 im (+.f64 (/.f64 (/.f64 (log.f64 base) re) re) (*.f64 (*.f64 im im) (+.f64 (/.f64 (*.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal 1/3 binary64)) (log.f64 base)) (pow.f64 re #s(literal 6 binary64)))))))))
(* -2 (* (log base) (log (/ 1 im))))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (log.f64 base) #s(literal -2 binary64)))
(+ (* -2 (* (log base) (log (/ 1 im)))) (/ (* (pow re 2) (log base)) (pow im 2)))
(+.f64 (*.f64 (/.f64 (*.f64 re re) im) (/.f64 (log.f64 base) im)) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (log.f64 base) #s(literal -2 binary64))))
(+ (* -2 (* (log base) (log (/ 1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (/ (* (pow re 2) (log base)) (pow im 2))))
(+.f64 (*.f64 (/.f64 (*.f64 re re) im) (/.f64 (log.f64 base) im)) (+.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64)))))
(+ (* -2 (* (log base) (log (/ 1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/3 (/ (* (pow re 6) (log base)) (pow im 6))) (/ (* (pow re 2) (log base)) (pow im 2)))))
(+.f64 (+.f64 (*.f64 (/.f64 (*.f64 re re) im) (/.f64 (log.f64 base) im)) (/.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (log.f64 base)) (pow.f64 im #s(literal 6 binary64)))) (+.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64)))))
(* -2 (* (log base) (log (/ -1 im))))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (*.f64 (log.f64 base) #s(literal -2 binary64)))
(+ (* -2 (* (log base) (log (/ -1 im)))) (/ (* (pow re 2) (log base)) (pow im 2)))
(+.f64 (*.f64 (/.f64 (*.f64 re re) im) (/.f64 (log.f64 base) im)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (*.f64 (log.f64 base) #s(literal -2 binary64))))
(+ (* -2 (* (log base) (log (/ -1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (/ (* (pow re 2) (log base)) (pow im 2))))
(+.f64 (*.f64 (/.f64 (*.f64 re re) im) (/.f64 (log.f64 base) im)) (+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (*.f64 (log.f64 base) #s(literal -2 binary64)))))
(+ (* -2 (* (log base) (log (/ -1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/3 (/ (* (pow re 6) (log base)) (pow im 6))) (/ (* (pow re 2) (log base)) (pow im 2)))))
(+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2 binary64)) (log.f64 base)) (pow.f64 im #s(literal 4 binary64))) (+.f64 (+.f64 (*.f64 (/.f64 (*.f64 re re) im) (/.f64 (log.f64 base) im)) (/.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (log.f64 base)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (*.f64 (log.f64 base) #s(literal -2 binary64)))))
(* (log base) (log (+ (pow im 2) (pow re 2))))
(*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(* (log base) (log (+ (pow im 2) (pow re 2))))
(*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(* (log base) (log (+ (pow im 2) (pow re 2))))
(*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(* (log base) (log (+ (pow im 2) (pow re 2))))
(*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))

eval335.0ms (3.2%)

Compiler

Compiled 53442 to 4097 computations (92.3% saved)

prune281.0ms (2.7%)

Pruning

24 alts after pruning (22 fresh and 2 done)

PrunedKeptTotal
New2319202339
Fresh13215
Picked415
Done011
Total2336242360
Accuracy
100.0%
Counts
2360 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶25.9%
(/.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
54.5%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
48.6%
(/.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)))
98.3%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 base))
19.9%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 2 binary64) (-.f64 (log.f64 (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))))) (log.f64 (+.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im))))))))
98.3%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
53.9%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 im im)) (log.f64 base)))) (log.f64 base))
✓99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
48.5%
(/.f64 (log.f64 im) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
98.2%
(/.f64 (log.f64 im) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
98.2%
(/.f64 (log.f64 im) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 base))))
98.2%
(/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓98.4%
(/.f64 (log.f64 im) (log.f64 base))
48.2%
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
98.3%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
54.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
▶54.6%
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (-.f64 #s(literal 0 binary64) (log.f64 base))))
54.5%
(*.f64 (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
▶98.3%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
54.5%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) (log.f64 base))
54.4%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
▶99.3%
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
▶98.2%
(*.f64 (log.f64 im) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
51.2%
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
Compiler

Compiled 800 to 531 computations (33.6% saved)

simplify187.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f64 base)
✓cost-diff0
(pow.f64 (log.f64 base) #s(literal -1/2 binary64))
✓cost-diff12800
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓cost-diff12928
(/.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
✓cost-diff0
(log.f64 base)
✓cost-diff0
(log.f64 im)
✓cost-diff12864
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓cost-diff12992
(*.f64 (log.f64 im) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
✓cost-diff0
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
✓cost-diff256
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (-.f64 #s(literal 0 binary64) (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
(hypot.f64 re im)
✓cost-diff0
(log.f64 (hypot.f64 re im))
✓cost-diff12864
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓cost-diff12992
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
Rules
4414×*-lowering-*.f32
4414×*-lowering-*.f64
1370×/-lowering-/.f32
1370×/-lowering-/.f64
1240×fmsub-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029204
156199
2112177
3247176
4477176
51131176
63302176
74673176
86453176
08417176
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (log (sqrt (+ (* re re) (* im im)))) (/ (log base) (pow (log base) 2)))
(log (sqrt (+ (* re re) (* im im))))
(sqrt (+ (* re re) (* im im)))
re
im
(/ (log base) (pow (log base) 2))
(log base)
base
(pow (log base) 2)
2
(* (/ 1 (log base)) (log im))
(/ 1 (log base))
1
(log base)
base
(log im)
im
(/ -1/2 (* (/ 1 (log (+ (* re re) (* im im)))) (- 0 (log base))))
-1/2
(* (/ 1 (log (+ (* re re) (* im im)))) (- 0 (log base)))
(/ 1 (log (+ (* re re) (* im im))))
1
(log (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(* re re)
re
(* im im)
im
(- 0 (log base))
0
(log base)
base
(* (log im) (/ (log base) (pow (log base) 2)))
(log im)
im
(/ (log base) (pow (log base) 2))
(log base)
base
(pow (log base) 2)
2
(/ (pow (pow (log base) -1/2) 2) (/ 2 (log (+ (* re re) (* im im)))))
(pow (pow (log base) -1/2) 2)
(pow (log base) -1/2)
(log base)
base
-1/2
2
(/ 2 (log (+ (* re re) (* im im))))
(log (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(* re re)
re
(* im im)
im
Outputs
(* (log (sqrt (+ (* re re) (* im im)))) (/ (log base) (pow (log base) 2)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log (sqrt (+ (* re re) (* im im))))
(log.f64 (hypot.f64 re im))
(sqrt (+ (* re re) (* im im)))
(hypot.f64 re im)
re
im
(/ (log base) (pow (log base) 2))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log base)
(log.f64 base)
base
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (/ 1 (log base)) (log im))
(/.f64 (log.f64 im) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
1
#s(literal 1 binary64)
(log base)
(log.f64 base)
base
(log im)
(log.f64 im)
im
(/ -1/2 (* (/ 1 (log (+ (* re re) (* im im)))) (- 0 (log base))))
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 2 binary64)))
-1/2
#s(literal -1/2 binary64)
(* (/ 1 (log (+ (* re re) (* im im)))) (- 0 (log base)))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(/ 1 (log (+ (* re re) (* im im))))
(/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
1
#s(literal 1 binary64)
(log (+ (* re re) (* im im)))
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+ (* re re) (* im im))
(+.f64 (*.f64 re re) (*.f64 im im))
(* re re)
(*.f64 re re)
re
(* im im)
(*.f64 im im)
im
(- 0 (log base))
(-.f64 #s(literal 0 binary64) (log.f64 base))
0
#s(literal 0 binary64)
(log base)
(log.f64 base)
base
(* (log im) (/ (log base) (pow (log base) 2)))
(/.f64 (log.f64 im) (log.f64 base))
(log im)
(log.f64 im)
im
(/ (log base) (pow (log base) 2))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log base)
(log.f64 base)
base
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (pow (pow (log base) -1/2) 2) (/ 2 (log (+ (* re re) (* im im)))))
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 2 binary64)))
(pow (pow (log base) -1/2) 2)
(/.f64 #s(literal 1 binary64) (log.f64 base))
(pow (log base) -1/2)
(pow.f64 (log.f64 base) #s(literal -1/2 binary64))
(log base)
(log.f64 base)
base
-1/2
#s(literal -1/2 binary64)
2
#s(literal 2 binary64)
(/ 2 (log (+ (* re re) (* im im))))
(/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(log (+ (* re re) (* im im)))
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+ (* re re) (* im im))
(+.f64 (*.f64 re re) (*.f64 im im))
(* re re)
(*.f64 re re)
re
(* im im)
(*.f64 im im)
im

localize168.0ms (1.6%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
✓accuracy99.8%
(/.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
✓accuracy99.6%
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓accuracy76.5%
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
✓accuracy100.0%
(log.f64 base)
✓accuracy99.7%
(*.f64 (log.f64 im) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
✓accuracy99.7%
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓accuracy99.7%
(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
✓accuracy99.8%
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (-.f64 #s(literal 0 binary64) (log.f64 base))))
✓accuracy76.5%
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
✓accuracy100.0%
(log.f64 im)
✓accuracy100.0%
(log.f64 base)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
✓accuracy100.0%
(log.f64 base)
✓accuracy99.7%
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
✓accuracy99.7%
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓accuracy99.7%
(pow.f64 (log.f64 base) #s(literal 2 binary64))
Results
63.0ms129×0invalid
54.0ms127×0valid
Compiler

Compiled 226 to 30 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
compiled-spec: 21.0ms (23.9% of total)
ival-add: 14.0ms (15.9% of total)
ival-mult: 14.0ms (15.9% of total)
ival-log: 12.0ms (13.7% of total)
ival-div: 11.0ms (12.5% of total)
ival-pow: 10.0ms (11.4% of total)
ival-sqrt: 2.0ms (2.3% of total)
ival-sub: 1.0ms (1.1% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series88.0ms (0.8%)

Counts
18 → 396
Calls
Call 1
Inputs
#<alt (* (log (sqrt (+ (* re re) (* im im)))) (/ (log base) (pow (log base) 2)))>
#<alt (/ (log base) (pow (log base) 2))>
#<alt (log (sqrt (+ (* re re) (* im im))))>
#<alt (sqrt (+ (* re re) (* im im)))>
#<alt (* (/ 1 (log base)) (log im))>
#<alt (/ 1 (log base))>
#<alt (log base)>
#<alt (log im)>
#<alt (/ -1/2 (* (/ 1 (log (+ (* re re) (* im im)))) (- 0 (log base))))>
#<alt (* (/ 1 (log (+ (* re re) (* im im)))) (- 0 (log base)))>
#<alt (/ 1 (log (+ (* re re) (* im im))))>
#<alt (log (+ (* re re) (* im im)))>
#<alt (* (log im) (/ (log base) (pow (log base) 2)))>
#<alt (/ (pow (pow (log base) -1/2) 2) (/ 2 (log (+ (* re re) (* im im)))))>
#<alt (pow (pow (log base) -1/2) 2)>
#<alt (pow (log base) -1/2)>
#<alt (pow (log base) 2)>
#<alt (/ 2 (log (+ (* re re) (* im im))))>
Outputs
#<alt (/ (log im) (log base))>
#<alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))>
#<alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))>
#<alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))>
#<alt (* -1 (/ (log (/ 1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (/ (log re) (log base))>
#<alt (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))>
#<alt (+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))>
#<alt (+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log im)>
#<alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (* -1 (log (/ 1 re)))>
#<alt (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* -1 (log (/ -1 re)))>
#<alt (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (log re)>
#<alt (+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))>
#<alt (+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* -1 (log (/ -1 im)))>
#<alt (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt im>
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#<alt (- (* -1/4 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (* 1/2 (/ 1 (log (/ 1 im)))))>
#<alt (- (* -1 (/ (+ (* -1/8 (/ (pow re 4) (pow (log (/ 1 im)) 2))) (* 1/8 (/ (pow re 4) (pow (log (/ 1 im)) 3)))) (pow im 4))) (+ (* 1/4 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (* 1/2 (/ 1 (log (/ 1 im))))))>
#<alt (- (* -1 (/ (+ (* -1/16 (/ (pow re 6) (pow (log (/ 1 im)) 3))) (+ (* 1/12 (/ (pow re 6) (pow (log (/ 1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/8 (/ (pow re 4) (pow (log (/ 1 im)) 2))) (* 1/8 (/ (pow re 4) (pow (log (/ 1 im)) 3))))) (log (/ 1 im)))))) (pow im 6))) (+ (* -1/8 (/ (pow re 4) (* (pow im 4) (pow (log (/ 1 im)) 2)))) (+ (* 1/8 (/ (pow re 4) (* (pow im 4) (pow (log (/ 1 im)) 3)))) (+ (* 1/4 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (* 1/2 (/ 1 (log (/ 1 im))))))))>
#<alt (/ -1/2 (log (/ -1 im)))>
#<alt (- (* -1/4 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (* 1/2 (/ 1 (log (/ -1 im)))))>
#<alt (- (* -1 (/ (+ (* -1/8 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (pow re 4) (pow (log (/ -1 im)) 3)))) (pow im 4))) (+ (* 1/4 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (* 1/2 (/ 1 (log (/ -1 im))))))>
#<alt (- (* -1 (/ (+ (* -1/16 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (+ (* 1/12 (/ (pow re 6) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/8 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (pow re 4) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6))) (+ (* -1/8 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/8 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (+ (* 1/4 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (* 1/2 (/ 1 (log (/ -1 im))))))))>
#<alt (log (pow im 2))>
#<alt (+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))>
#<alt (+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))>
#<alt (+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))>
#<alt (* -2 (log (/ 1 re)))>
#<alt (+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))>
#<alt (+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))>
#<alt (* -2 (log (/ -1 re)))>
#<alt (+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2)))>
#<alt (+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))>
#<alt (log (pow re 2))>
#<alt (+ (log (pow re 2)) (/ (pow im 2) (pow re 2)))>
#<alt (+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))))>
#<alt (+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))>
#<alt (* -2 (log (/ 1 im)))>
#<alt (+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))>
#<alt (+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))>
#<alt (* -2 (log (/ -1 im)))>
#<alt (+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))>
#<alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))>
#<alt (* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (* 1/2 (/ (log (pow im 2)) (log base)))>
#<alt (+ (* 1/2 (/ (log (pow im 2)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* 1/2 (/ (log (pow im 2)) (log base))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))))>
#<alt (+ (* 1/2 (/ (log (pow im 2)) (log base))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))))>
#<alt (* -1 (/ (log (/ 1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (* 1/2 (/ (log (pow re 2)) (log base)))>
#<alt (+ (* 1/2 (/ (log (pow re 2)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* 1/2 (/ (log (pow re 2)) (log base))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))))>
#<alt (+ (* 1/2 (/ (log (pow re 2)) (log base))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (/ 1 (log base)))>
#<alt (sqrt (/ 1 (log base)))>
#<alt (sqrt (/ 1 (log base)))>
#<alt (sqrt (/ 1 (log base)))>
#<alt (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))>
#<alt (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (/ 2 (log (pow im 2)))>
#<alt (+ (* -2 (/ (pow re 2) (* (pow im 2) (pow (log (pow im 2)) 2)))) (* 2 (/ 1 (log (pow im 2)))))>
#<alt (+ (* (pow re 2) (- (* (pow re 2) (+ (/ 1 (* (pow im 4) (pow (log (pow im 2)) 2))) (* 2 (/ 1 (* (pow im 4) (pow (log (pow im 2)) 3)))))) (* 2 (/ 1 (* (pow im 2) (pow (log (pow im 2)) 2)))))) (* 2 (/ 1 (log (pow im 2)))))>
#<alt (+ (* (pow re 2) (- (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* 2/3 (/ 1 (* (pow im 6) (pow (log (pow im 2)) 2)))) (+ (* 2 (/ 1 (* (pow im 6) (pow (log (pow im 2)) 3)))) (* 2 (/ 1 (* (pow im 6) (pow (log (pow im 2)) 4)))))))) (+ (* 2 (/ 1 (* (pow im 4) (pow (log (pow im 2)) 3)))) (/ 1 (* (pow im 4) (pow (log (pow im 2)) 2)))))) (* 2 (/ 1 (* (pow im 2) (pow (log (pow im 2)) 2)))))) (* 2 (/ 1 (log (pow im 2)))))>
#<alt (/ -1 (log (/ 1 re)))>
#<alt (- (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re))))>
#<alt (- (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3)))) (pow re 4))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re)))))>
#<alt (- (* -1 (/ (+ (* -1/8 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (+ (* 1/6 (/ (pow im 6) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3))))) (log (/ 1 re)))))) (pow re 6))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re)))))))>
#<alt (/ -1 (log (/ -1 re)))>
#<alt (- (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (/ 1 (log (/ -1 re))))>
#<alt (- (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ -1 re)) 3)))) (pow re 4))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (/ 1 (log (/ -1 re)))))>
#<alt (- (* -1 (/ (+ (* -1/8 (/ (pow im 6) (pow (log (/ -1 re)) 3))) (+ (* 1/6 (/ (pow im 6) (pow (log (/ -1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ -1 re)) 3))))) (log (/ -1 re)))))) (pow re 6))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ -1 re)) 2)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ -1 re)) 3)))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (/ 1 (log (/ -1 re)))))))>
#<alt (/ 2 (log (pow re 2)))>
#<alt (+ (* -2 (/ (pow im 2) (* (pow re 2) (pow (log (pow re 2)) 2)))) (* 2 (/ 1 (log (pow re 2)))))>
#<alt (+ (* (pow im 2) (- (* (pow im 2) (+ (/ 1 (* (pow re 4) (pow (log (pow re 2)) 2))) (* 2 (/ 1 (* (pow re 4) (pow (log (pow re 2)) 3)))))) (* 2 (/ 1 (* (pow re 2) (pow (log (pow re 2)) 2)))))) (* 2 (/ 1 (log (pow re 2)))))>
#<alt (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1 (* (pow im 2) (+ (* 2/3 (/ 1 (* (pow re 6) (pow (log (pow re 2)) 2)))) (+ (* 2 (/ 1 (* (pow re 6) (pow (log (pow re 2)) 3)))) (* 2 (/ 1 (* (pow re 6) (pow (log (pow re 2)) 4)))))))) (+ (* 2 (/ 1 (* (pow re 4) (pow (log (pow re 2)) 3)))) (/ 1 (* (pow re 4) (pow (log (pow re 2)) 2)))))) (* 2 (/ 1 (* (pow re 2) (pow (log (pow re 2)) 2)))))) (* 2 (/ 1 (log (pow re 2)))))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (- (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (/ 1 (log (/ 1 im))))>
#<alt (- (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ 1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ 1 im)) 3)))) (pow im 4))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (/ 1 (log (/ 1 im)))))>
#<alt (- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (pow (log (/ 1 im)) 3))) (+ (* 1/6 (/ (pow re 6) (pow (log (/ 1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ 1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ 1 im)) 3))))) (log (/ 1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ 1 im)) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ 1 im)) 3)))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (/ 1 (log (/ 1 im)))))))>
#<alt (/ -1 (log (/ -1 im)))>
#<alt (- (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))>
#<alt (- (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3)))) (pow im 4))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))))>
#<alt (- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (+ (* 1/6 (/ (pow re 6) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))))))>
Calls

99 calls:

TimeVariablePointExpression
2.0ms
base
@inf
(* (log (sqrt (+ (* re re) (* im im)))) (/ (log base) (pow (log base) 2)))
1.0ms
im
@inf
(* (/ 1 (log (+ (* re re) (* im im)))) (- 0 (log base)))
1.0ms
re
@inf
(* (/ 1 (log (+ (* re re) (* im im)))) (- 0 (log base)))
1.0ms
re
@0
(* (/ 1 (log (+ (* re re) (* im im)))) (- 0 (log base)))
1.0ms
im
@0
(* (/ 1 (log (+ (* re re) (* im im)))) (- 0 (log base)))

rewrite275.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
4322×*-lowering-*.f32
4322×*-lowering-*.f64
3144×/-lowering-/.f32
3144×/-lowering-/.f64
960×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029124
114390
295090
0833290
Stop Event
1×iter limit
1×node limit
Counts
18 → 1481
Calls
Call 1
Inputs
(* (log (sqrt (+ (* re re) (* im im)))) (/ (log base) (pow (log base) 2)))
(/ (log base) (pow (log base) 2))
(log (sqrt (+ (* re re) (* im im))))
(sqrt (+ (* re re) (* im im)))
(* (/ 1 (log base)) (log im))
(/ 1 (log base))
(log base)
(log im)
(/ -1/2 (* (/ 1 (log (+ (* re re) (* im im)))) (- 0 (log base))))
(* (/ 1 (log (+ (* re re) (* im im)))) (- 0 (log base)))
(/ 1 (log (+ (* re re) (* im im))))
(log (+ (* re re) (* im im)))
(* (log im) (/ (log base) (pow (log base) 2)))
(/ (pow (pow (log base) -1/2) 2) (/ 2 (log (+ (* re re) (* im im)))))
(pow (pow (log base) -1/2) 2)
(pow (log base) -1/2)
(pow (log base) 2)
(/ 2 (log (+ (* re re) (* im im))))
Outputs
(+.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 (log.f64 base) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64)))
(+.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 (log.f64 base) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
(+.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 (log.f64 base) #s(literal 1/2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
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(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (log.f64 base)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (pow.f64 (log.f64 base) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/8 binary64)) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (pow.f64 (log.f64 base) #s(literal -1/8 binary64))) (pow.f64 (log.f64 base) #s(literal -1/8 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -1/4 binary64)))
(+.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (fma.f64 (log.f64 base) #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (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 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (log.f64 (log.f64 base))))
(-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(fma.f64 (log.f64 base) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 base))
(/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) base))) (log.f64 base))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) base))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal -1 binary64)) (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 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (*.f64 (log.f64 base) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(*.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(neg.f64 (/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 1/2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal -2 binary64)))
(/.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re re) (*.f64 im im))))))
(/.f64 (/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 (/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal -2 binary64))
(*.f64 (pow.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal -1/2 binary64))) (pow.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal -1/2 binary64)))

simplify390.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
5898×*-lowering-*.f32
5898×*-lowering-*.f64
5344×+-lowering-+.f64
5344×+-lowering-+.f32
1746×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09498230
132127992
086097992
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (log (/ -1 re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(log re)
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))
(+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))
(* -1 (log (/ 1 im)))
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (log (/ -1 im)))
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(log (pow im 2))
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))
(+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))
(* -2 (log (/ 1 re)))
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(* -2 (log (/ 1 im)))
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(/ (log im) (log base))
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(+ (* 1/2 (/ (log (pow im 2)) (log base))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))))
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(* -1 (/ (log (/ -1 re)) (log base)))
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(* 1/2 (/ (log (pow re 2)) (log base)))
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(+ (* 1/2 (/ (log (pow re 2)) (log base))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))))
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(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
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(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt (/ 1 (log base)))
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(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))
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(pow (log base) 2)
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(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
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(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(/ 2 (log (pow im 2)))
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Outputs
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(* -1 (/ (log (/ 1 re)) (log base)))
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(/ (log re) (log base))
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(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (*.f64 (*.f64 re re) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))))
(- (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ -1 re)) 3)))) (pow re 4))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (/ 1 (log (/ -1 re)))))
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64)))) (neg.f64 (pow.f64 re #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 (*.f64 re re) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64))))))
(- (* -1 (/ (+ (* -1/8 (/ (pow im 6) (pow (log (/ -1 re)) 3))) (+ (* 1/6 (/ (pow im 6) (pow (log (/ -1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ -1 re)) 3))))) (log (/ -1 re)))))) (pow re 6))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ -1 re)) 2)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ -1 re)) 3)))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (/ 1 (log (/ -1 re)))))))
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64)))))) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64))))) (neg.f64 (pow.f64 re #s(literal 6 binary64)))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 (*.f64 re re) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal 2 binary64)))))))
(/ 2 (log (pow re 2)))
(/.f64 #s(literal 2 binary64) (log.f64 (*.f64 re re)))
(+ (* -2 (/ (pow im 2) (* (pow re 2) (pow (log (pow re 2)) 2)))) (* 2 (/ 1 (log (pow re 2)))))
(+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 im im)) (*.f64 (*.f64 re re) (pow.f64 (log.f64 (*.f64 re re)) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (log.f64 (*.f64 re re))))
(+ (* (pow im 2) (- (* (pow im 2) (+ (/ 1 (* (pow re 4) (pow (log (pow re 2)) 2))) (* 2 (/ 1 (* (pow re 4) (pow (log (pow re 2)) 3)))))) (* 2 (/ 1 (* (pow re 2) (pow (log (pow re 2)) 2)))))) (* 2 (/ 1 (log (pow re 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (log.f64 (*.f64 re re))) (*.f64 (*.f64 im im) (+.f64 (*.f64 (*.f64 im im) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (*.f64 re re)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (*.f64 re re)) #s(literal 3 binary64)))))) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 re re) (pow.f64 (log.f64 (*.f64 re re)) #s(literal 2 binary64)))))))
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -1 (* (pow im 2) (+ (* 2/3 (/ 1 (* (pow re 6) (pow (log (pow re 2)) 2)))) (+ (* 2 (/ 1 (* (pow re 6) (pow (log (pow re 2)) 3)))) (* 2 (/ 1 (* (pow re 6) (pow (log (pow re 2)) 4)))))))) (+ (* 2 (/ 1 (* (pow re 4) (pow (log (pow re 2)) 3)))) (/ 1 (* (pow re 4) (pow (log (pow re 2)) 2)))))) (* 2 (/ 1 (* (pow re 2) (pow (log (pow re 2)) 2)))))) (* 2 (/ 1 (log (pow re 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) (log.f64 (*.f64 re re))) (*.f64 (*.f64 im im) (+.f64 (*.f64 (*.f64 im im) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (*.f64 re re)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (*.f64 re re)) #s(literal 3 binary64))))) (*.f64 (*.f64 im im) (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 re re)) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 re re)) #s(literal 3 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (log.f64 (*.f64 re re)) #s(literal 4 binary64)))))))) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 re re) (pow.f64 (log.f64 (*.f64 re re)) #s(literal 2 binary64)))))))
(/ -1 (log (/ 1 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(- (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (/ 1 (log (/ 1 im))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(- (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ 1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ 1 im)) 3)))) (pow im 4))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (/ 1 (log (/ 1 im)))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (neg.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64))))) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (pow (log (/ 1 im)) 3))) (+ (* 1/6 (/ (pow re 6) (pow (log (/ 1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ 1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ 1 im)) 3))))) (log (/ 1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ 1 im)) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ 1 im)) 3)))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (/ 1 (log (/ 1 im)))))))
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (neg.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)))))) (-.f64 #s(literal 0 binary64) (log.f64 im))) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 6 binary64))) (neg.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)))))) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (+.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 im))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #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)) (neg.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #s(literal 2 binary64)))))))
(/ -1 (log (/ -1 im)))
(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(- (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(- (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3)))) (pow im 4))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))))
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64)))) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))))))
(- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (+ (* 1/6 (/ (pow re 6) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))))))
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))))))

eval620.0ms (5.9%)

Compiler

Compiled 55651 to 4807 computations (91.4% saved)

prune367.0ms (3.5%)

Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New2699122711
Fresh71017
Picked415
Done022
Total2710252735
Accuracy
100.0%
Counts
2735 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.3%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 base))
19.9%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 2 binary64) (-.f64 (log.f64 (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))))) (log.f64 (+.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im))))))))
▶98.3%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
98.2%
(/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
48.5%
(/.f64 (log.f64 im) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓98.4%
(/.f64 (log.f64 im) (log.f64 base))
▶48.2%
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
▶98.3%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
54.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
98.2%
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 im)) (-.f64 #s(literal 0 binary64) (log.f64 base))))
▶49.5%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal -1/4 binary64)) (log.f64 im))
48.4%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (log.f64 im))
48.6%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im))
98.3%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (log.f64 im)))
48.2%
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base)))) (log.f64 im))
98.2%
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
✓98.3%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
98.1%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (log.f64 im))
54.5%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) (log.f64 base))
54.4%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
50.1%
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
▶98.3%
(*.f64 (log.f64 im) (/.f64 (log.f64 base) (/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
48.2%
(*.f64 (log.f64 im) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
51.2%
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
Compiler

Compiled 718 to 501 computations (30.2% saved)

simplify234.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f64 im)
✓cost-diff192
(/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓cost-diff13056
(/.f64 (log.f64 base) (/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓cost-diff13184
(*.f64 (log.f64 im) (/.f64 (log.f64 base) (/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
✓cost-diff0
(log.f64 base)
✓cost-diff0
(pow.f64 (log.f64 base) #s(literal 4 binary64))
✓cost-diff0
(pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal -1/4 binary64))
✓cost-diff0
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal -1/4 binary64)) (log.f64 im))
✓cost-diff0
(log.f64 (log.f64 base))
✓cost-diff0
(log.f64 im)
✓cost-diff12800
(exp.f64 (log.f64 (log.f64 base)))
✓cost-diff12800
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (log.f64 im))
✓cost-diff0
(log.f64 base)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓cost-diff256
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
✓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
1786×*-lowering-*.f32
1786×*-lowering-*.f64
1146×prod-exp
1044×sum3-define
948×/-lowering-/.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
021106
140105
278101
3134101
4255101
5979100
62175100
74710100
87317100
08004100
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ (log base) (log im)))
1
(/ (log base) (log im))
(log base)
base
(log im)
im
(/ (/ 1 (log base)) (/ 1 (log im)))
(/ 1 (log base))
1
(log base)
base
(/ 1 (log im))
(log im)
im
(/ (log im) (exp (log (log base))))
(log im)
im
(exp (log (log base)))
(log (log base))
(log base)
base
(* (pow (pow (log base) 4) -1/4) (log im))
(pow (pow (log base) 4) -1/4)
(pow (log base) 4)
(log base)
base
4
-1/4
(log im)
im
(* (log im) (/ (log base) (/ (log base) (/ 1 (log base)))))
(log im)
im
(/ (log base) (/ (log base) (/ 1 (log base))))
(log base)
base
(/ (log base) (/ 1 (log base)))
(/ 1 (log base))
1
Outputs
(/ 1 (/ (log base) (log im)))
(/.f64 (log.f64 im) (log.f64 base))
1
#s(literal 1 binary64)
(/ (log base) (log im))
(/.f64 (log.f64 base) (log.f64 im))
(log base)
(log.f64 base)
base
(log im)
(log.f64 im)
im
(/ (/ 1 (log base)) (/ 1 (log im)))
(/.f64 (log.f64 im) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
1
#s(literal 1 binary64)
(log base)
(log.f64 base)
base
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(log im)
(log.f64 im)
im
(/ (log im) (exp (log (log base))))
(/.f64 (log.f64 im) (log.f64 base))
(log im)
(log.f64 im)
im
(exp (log (log base)))
(log.f64 base)
(log (log base))
(log.f64 (log.f64 base))
(log base)
(log.f64 base)
base
(* (pow (pow (log base) 4) -1/4) (log im))
(*.f64 (log.f64 im) (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal -1/4 binary64)))
(pow (pow (log base) 4) -1/4)
(pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal -1/4 binary64))
(pow (log base) 4)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(log base)
(log.f64 base)
base
4
#s(literal 4 binary64)
-1/4
#s(literal -1/4 binary64)
(log im)
(log.f64 im)
im
(* (log im) (/ (log base) (/ (log base) (/ 1 (log base)))))
(/.f64 (log.f64 im) (log.f64 base))
(log im)
(log.f64 im)
im
(/ (log base) (/ (log base) (/ 1 (log base))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log base)
(log.f64 base)
base
(/ (log base) (/ 1 (log base)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
1
#s(literal 1 binary64)

localize124.0ms (1.2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓accuracy99.7%
(*.f64 (log.f64 im) (/.f64 (log.f64 base) (/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
✓accuracy99.7%
(/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓accuracy99.7%
(/.f64 (log.f64 base) (/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓accuracy100.0%
(log.f64 base)
✓accuracy99.9%
(pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal -1/4 binary64))
✓accuracy99.7%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal -1/4 binary64)) (log.f64 im))
✓accuracy99.4%
(pow.f64 (log.f64 base) #s(literal 4 binary64))
✓accuracy100.0%
(log.f64 base)
✓accuracy100.0%
(log.f64 (log.f64 base))
✓accuracy99.7%
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
✓accuracy99.1%
(exp.f64 (log.f64 (log.f64 base)))
✓accuracy100.0%
(log.f64 base)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (log.f64 im))
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
✓accuracy100.0%
(log.f64 im)
✓accuracy100.0%
(log.f64 base)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
✓accuracy99.7%
(/.f64 (log.f64 base) (log.f64 im))
Results
46.0ms129×0invalid
42.0ms127×0valid
Compiler

Compiled 135 to 23 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-div: 17.0ms (36.4% of total)
ival-pow: 14.0ms (30% of total)
ival-log: 9.0ms (19.3% of total)
ival-mult: 4.0ms (8.6% of total)
ival-exp: 2.0ms (4.3% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series163.0ms (1.6%)

Counts
16 → 264
Calls
Call 1
Inputs
#<alt (/ 1 (/ (log base) (log im)))>
#<alt (/ (log base) (log im))>
#<alt (log base)>
#<alt (log im)>
#<alt (/ (/ 1 (log base)) (/ 1 (log im)))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log im))>
#<alt (/ (log im) (exp (log (log base))))>
#<alt (exp (log (log base)))>
#<alt (log (log base))>
#<alt (* (pow (pow (log base) 4) -1/4) (log im))>
#<alt (pow (pow (log base) 4) -1/4)>
#<alt (pow (log base) 4)>
#<alt (* (log im) (/ (log base) (/ (log base) (/ 1 (log base)))))>
#<alt (/ (log base) (/ (log base) (/ 1 (log base))))>
#<alt (/ (log base) (/ 1 (log base)))>
Outputs
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (log base) (log im))>
#<alt (/ (log base) (log im))>
#<alt (/ (log base) (log im))>
#<alt (/ (log base) (log im))>
#<alt (* -1 (/ (log (/ 1 base)) (log im)))>
#<alt (* -1 (/ (log (/ 1 base)) (log im)))>
#<alt (* -1 (/ (log (/ 1 base)) (log im)))>
#<alt (* -1 (/ (log (/ 1 base)) (log im)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))>
#<alt (/ (log base) (log im))>
#<alt (/ (log base) (log im))>
#<alt (/ (log base) (log im))>
#<alt (/ (log base) (log im))>
#<alt (* -1 (/ (log base) (log (/ 1 im))))>
#<alt (* -1 (/ (log base) (log (/ 1 im))))>
#<alt (* -1 (/ (log base) (log (/ 1 im))))>
#<alt (* -1 (/ (log base) (log (/ 1 im))))>
#<alt (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (log im))>
#<alt (/ 1 (log im))>
#<alt (/ 1 (log im))>
#<alt (/ 1 (log im))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (log (log base))>
#<alt (log (log base))>
#<alt (log (log base))>
#<alt (log (log base))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (pow (log base) 4)>
#<alt (pow (log base) 4)>
#<alt (pow (log base) 4)>
#<alt (pow (log base) 4)>
#<alt (pow (log (/ 1 base)) 4)>
#<alt (pow (log (/ 1 base)) 4)>
#<alt (pow (log (/ 1 base)) 4)>
#<alt (pow (log (/ 1 base)) 4)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
Calls

66 calls:

TimeVariablePointExpression
64.0ms
base
@inf
(log (log base))
28.0ms
base
@0
(* (pow (pow (log base) 4) -1/4) (log im))
18.0ms
base
@-inf
(log (log base))
17.0ms
base
@0
(log (log base))
12.0ms
im
@0
(* (pow (pow (log base) 4) -1/4) (log im))

rewrite201.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
1416×*-lowering-*.f32
1416×*-lowering-*.f64
1220×frac-times
1166×/-lowering-/.f32
1166×/-lowering-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02161
19559
246059
0343259
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
16 → 1161
Calls
Call 1
Inputs
(/ 1 (/ (log base) (log im)))
(/ (log base) (log im))
(log base)
(log im)
(/ (/ 1 (log base)) (/ 1 (log im)))
(/ 1 (log base))
(/ 1 (log im))
(/ (log im) (exp (log (log base))))
(exp (log (log base)))
(log (log base))
(* (pow (pow (log base) 4) -1/4) (log im))
(pow (pow (log base) 4) -1/4)
(pow (log base) 4)
(* (log im) (/ (log base) (/ (log base) (/ 1 (log base)))))
(/ (log base) (/ (log base) (/ 1 (log base))))
(/ (log base) (/ 1 (log base)))
Outputs
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (log.f64 base) (log.f64 im)))))
(exp.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (*.f64 #s(literal -1 binary64) (log.f64 (log.f64 im)))))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 base))) (/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))) (/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(neg.f64 (/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 im))))
(/.f64 (log.f64 base) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 im))))
(/.f64 (log.f64 base) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (log.f64 base) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.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 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 im))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im))))
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(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (log.f64 base)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -1/4 binary64)))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 (log.f64 base))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 (log.f64 base)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))))
(/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
(/.f64 (*.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)) (log.f64 base))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 base))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 base))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 base))) (log.f64 base))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 base))) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base))
(/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -1/4 binary64)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 2 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (/.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)) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (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 -2 binary64)) #s(literal -1/2 binary64)))

simplify245.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1840×fma-lowering-fma.f32
1840×fma-lowering-fma.f64
1766×sum5-define
1620×fnmadd-define
1472×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0521600
1891512
21331512
33171512
49361512
521041512
645801512
080321512
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (log base) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(* -1 (/ (log (/ 1 base)) (log im)))
(* -1 (/ (log (/ 1 base)) (log im)))
(* -1 (/ (log (/ 1 base)) (log im)))
(* -1 (/ (log (/ 1 base)) (log im)))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(* -1 (/ (log base) (log (/ 1 im))))
(* -1 (/ (log base) (log (/ 1 im))))
(* -1 (/ (log base) (log (/ 1 im))))
(* -1 (/ (log base) (log (/ 1 im))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(log base)
(log base)
(log base)
(log base)
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(log im)
(log im)
(log im)
(log im)
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (log im))
(/ 1 (log im))
(/ 1 (log im))
(/ 1 (log im))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(log base)
(log base)
(log base)
(log base)
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(log (log base))
(log (log base))
(log (log base))
(log (log base))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (log base) 4)
(pow (log base) 4)
(pow (log base) 4)
(pow (log base) 4)
(pow (log (/ 1 base)) 4)
(pow (log (/ 1 base)) 4)
(pow (log (/ 1 base)) 4)
(pow (log (/ 1 base)) 4)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
Outputs
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (log base) (log im))
(/.f64 (log.f64 base) (log.f64 im))
(/ (log base) (log im))
(/.f64 (log.f64 base) (log.f64 im))
(/ (log base) (log im))
(/.f64 (log.f64 base) (log.f64 im))
(/ (log base) (log im))
(/.f64 (log.f64 base) (log.f64 im))
(* -1 (/ (log (/ 1 base)) (log im)))
(/.f64 (log.f64 base) (log.f64 im))
(* -1 (/ (log (/ 1 base)) (log im)))
(/.f64 (log.f64 base) (log.f64 im))
(* -1 (/ (log (/ 1 base)) (log im)))
(/.f64 (log.f64 base) (log.f64 im))
(* -1 (/ (log (/ 1 base)) (log im)))
(/.f64 (log.f64 base) (log.f64 im))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 im))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 im))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 im))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 im))
(/ (log base) (log im))
(/.f64 (log.f64 base) (log.f64 im))
(/ (log base) (log im))
(/.f64 (log.f64 base) (log.f64 im))
(/ (log base) (log im))
(/.f64 (log.f64 base) (log.f64 im))
(/ (log base) (log im))
(/.f64 (log.f64 base) (log.f64 im))
(* -1 (/ (log base) (log (/ 1 im))))
(/.f64 (log.f64 base) (log.f64 im))
(* -1 (/ (log base) (log (/ 1 im))))
(/.f64 (log.f64 base) (log.f64 im))
(* -1 (/ (log base) (log (/ 1 im))))
(/.f64 (log.f64 base) (log.f64 im))
(* -1 (/ (log base) (log (/ 1 im))))
(/.f64 (log.f64 base) (log.f64 im))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 base) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 base) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 base) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 base) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(log im)
(log.f64 im)
(log im)
(log.f64 im)
(log im)
(log.f64 im)
(log im)
(log.f64 im)
(* -1 (log (/ 1 im)))
(log.f64 im)
(* -1 (log (/ 1 im)))
(log.f64 im)
(* -1 (log (/ 1 im)))
(log.f64 im)
(* -1 (log (/ 1 im)))
(log.f64 im)
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ -1 (log (/ 1 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ -1 (log (/ 1 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ -1 (log (/ 1 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ -1 (log (/ 1 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(log (log base))
(log.f64 (log.f64 base))
(log (log base))
(log.f64 (log.f64 base))
(log (log base))
(log.f64 (log.f64 base))
(log (log base))
(log.f64 (log.f64 base))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
(pow (log base) 4)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(pow (log base) 4)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(pow (log base) 4)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(pow (log base) 4)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(pow (log (/ 1 base)) 4)
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 4 binary64))
(pow (log (/ 1 base)) 4)
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 4 binary64))
(pow (log (/ 1 base)) 4)
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 4 binary64))
(pow (log (/ 1 base)) 4)
(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))

eval349.0ms (3.3%)

Compiler

Compiled 32787 to 3448 computations (89.5% saved)

prune274.0ms (2.6%)

Pruning

24 alts after pruning (17 fresh and 7 done)

PrunedKeptTotal
New221642220
Fresh41317
Picked145
Done033
Total2221242245
Accuracy
100.0%
Counts
2245 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.2%
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
98.3%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 base))
19.9%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 2 binary64) (-.f64 (log.f64 (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))))) (log.f64 (+.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im))))))))
✓98.3%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
98.2%
(/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
48.5%
(/.f64 (log.f64 im) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓98.4%
(/.f64 (log.f64 im) (log.f64 base))
✓48.2%
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
✓98.3%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
98.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
54.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
✓49.5%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal -1/4 binary64)) (log.f64 im))
48.4%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (log.f64 im))
98.3%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (log.f64 im)))
98.2%
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
✓98.3%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
98.1%
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 im))))
98.1%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (log.f64 im))
54.4%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
50.1%
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
98.1%
(*.f64 (log.f64 im) (/.f64 (log.f64 base) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64))))
48.2%
(*.f64 (log.f64 im) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
51.2%
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
Compiler

Compiled 1173 to 429 computations (63.4% saved)

regimes106.0ms (1%)

Counts
58 → 1
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (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)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 base))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 im)) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(/.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (-.f64 #s(literal 0 binary64) (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) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 2 binary64) (-.f64 (log.f64 (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) (*.f64 im im))))) (log.f64 (+.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im))))))))
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
(*.f64 (log.f64 im) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (log.f64 im))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal -1/4 binary64)) (log.f64 im))
(/.f64 (log.f64 im) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (log.f64 im) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (log.f64 im)))
(/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (log.f64 im) (/.f64 (log.f64 base) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64))))
(/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (log.f64 im) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (log.f64 im) (/.f64 (log.f64 base) (/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 im))))
(/.f64 (log.f64 im) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 im im)) (log.f64 base)))) (log.f64 base))
(/.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 (log.f64 base) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) (log.f64 base))
(*.f64 (/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)))) (log.f64 base))
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base)))) (log.f64 im))
(/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.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 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (log.f64 im))
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal -2 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))))
Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Calls

5 calls:

28.0ms
base
25.0ms
(/.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))))
17.0ms
(log.f64 base)
15.0ms
im
15.0ms
re
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)

regimes19.0ms (0.2%)

Accuracy

Total -28.6b remaining (-2775.3%)

Threshold costs -28.6b (-2775.3%)

Counts
13 → 1
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (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)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 base))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 im)) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(/.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (-.f64 #s(literal 0 binary64) (log.f64 base))))
Outputs
(/.f64 (log.f64 im) (log.f64 base))
Calls

4 calls:

6.0ms
re
4.0ms
(log.f64 base)
4.0ms
base
4.0ms
im
Results
AccuracySegmentsBranch
98.4%1re
98.4%1im
98.4%1base
98.4%1(log.f64 base)
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))

soundness657.0ms (6.3%)

Rules
4444×*-lowering-*.f32
4444×*-lowering-*.f64
4084×*-lowering-*.f32
4084×*-lowering-*.f64
3660×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01814
13013
23913
3519
4607
5627
61157
73337
814497
924927
1037737
1140897
1245597
1353047
1463517
1576587
080177
03624474
111184052
238504046
081024046
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 43 to 29 computations (32.6% saved)

preprocess34.0ms (0.3%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 212 to 138 computations (34.9% saved)

end0.0ms (0%)

Profiling

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