math.log/2 on complex, real part

Time bar (total: 10.5s)

analyze513.0ms (4.9%)

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

Compiled 32 to 19 computations (40.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 425.0ms
ival-atan2: 306.0ms (72% of total)
ival-mult: 56.0ms (13.2% of total)
ival-log: 26.0ms (6.1% of total)
ival-add: 19.0ms (4.5% of total)
ival-sqrt: 9.0ms (2.1% of total)
ival-div: 7.0ms (1.6% of total)
const: 1.0ms (0.2% of total)
backward-pass: 0.0ms (0% of total)

sample1.7s (16%)

Results
1.3s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 946.0ms
ival-mult: 327.0ms (34.6% of total)
ival-log: 221.0ms (23.4% of total)
ival-add: 149.0ms (15.7% of total)
ival-sqrt: 110.0ms (11.6% of total)
ival-atan2: 73.0ms (7.7% of total)
ival-div: 53.0ms (5.6% of total)
const: 11.0ms (1.2% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess247.0ms (2.4%)

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)

explain196.0ms (1.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1070-0-(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
125.0ms512×0valid
Compiler

Compiled 277 to 56 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 17.0ms (32.4% of total)
ival-log: 13.0ms (24.8% of total)
ival-add: 9.0ms (17.1% of total)
ival-atan2: 4.0ms (7.6% of total)
ival-sqrt: 4.0ms (7.6% of total)
ival-div: 3.0ms (5.7% of total)
const: 1.0ms (1.9% 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
▶59.0%
(/.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))))
▶99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Compiler

Compiled 41 to 25 computations (39% saved)

simplify195.0ms (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)

localize107.0ms (1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(/.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))))
✓accuracy99.4%
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
✓accuracy99.2%
(*.f64 (log.f64 base) (log.f64 base))
✓accuracy61.2%
(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
75.0ms256×0valid
Compiler

Compiled 142 to 22 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
compiled-spec: 13.0ms (21.4% of total)
ival-mult: 12.0ms (19.8% of total)
ival-log: 10.0ms (16.5% of total)
ival-div: 9.0ms (14.8% of total)
ival-sqrt: 8.0ms (13.2% of total)
ival-add: 5.0ms (8.2% of total)
ival-atan2: 2.0ms (3.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series97.0ms (0.9%)

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
57.0ms
base
@0
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
14.0ms
base
@-inf
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
7.0ms
base
@inf
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
2.0ms
re
@0
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
1.0ms
re
@inf
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))

rewrite320.0ms (3.1%)

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)))

simplify313.0ms (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))

eval130.0ms (1.2%)

Compiler

Compiled 36833 to 2381 computations (93.5% saved)

prune169.0ms (1.6%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New1017161033
Fresh000
Picked112
Done000
Total1018171035
Accuracy
99.9%
Counts
1035 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶59.0%
(/.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)))
58.9%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
59.1%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)))))
▶59.0%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
59.1%
(/.f64 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 base))
98.6%
(/.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))))
▶99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
48.4%
(/.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))
47.9%
(/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
▶98.8%
(/.f64 (log.f64 im) (log.f64 base))
59.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
59.0%
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (/.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 6 binary64))))
▶59.1%
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
59.2%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
59.1%
(*.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))
59.1%
(*.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))))
Compiler

Compiled 620 to 419 computations (32.4% saved)

simplify254.0ms (2.4%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓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-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
✓cost-diff19456
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
✓cost-diff0
(/.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
✓cost-diff0
(log.f64 base)
✓cost-diff0
(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓cost-diff12992
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)))
✓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
5672×*-lowering-*.f32
5672×*-lowering-*.f64
3122×/-lowering-/.f32
3122×/-lowering-/.f64
1552×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031222
160222
2143219
3407219
41030219
51714219
61838219
71911219
82030219
92199219
102419219
114670219
126063219
137186219
147806219
08118219
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
(/ (pow (log base) -2) (/ (/ 2 (log (+ (* re re) (* im im)))) (log base)))
(pow (log base) -2)
(log base)
base
-2
(/ (/ 2 (log (+ (* re re) (* im im)))) (log 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)))) (pow (log base) 4)) (pow (log base) 3))
(/ (* 1/2 (log (+ (* re re) (* im im)))) (pow (log base) 4))
(* 1/2 (log (+ (* re re) (* im im))))
1/2
(log (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(* re re)
re
(* im im)
im
(pow (log base) 4)
(log base)
base
4
(pow (log base) 3)
3
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
(/ (pow (log base) -2) (/ (/ 2 (log (+ (* re re) (* im im)))) (log base)))
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 2 binary64)))
(pow (log base) -2)
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log base)
(log.f64 base)
base
-2
#s(literal -2 binary64)
(/ (/ 2 (log (+ (* re re) (* im im)))) (log base))
(/.f64 (/.f64 #s(literal 2 binary64) (log.f64 base)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(/ 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)))) (pow (log base) 4)) (pow (log base) 3))
(/.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)))) (pow (log base) 4))
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 #s(literal 2 binary64) (pow.f64 (log.f64 base) #s(literal 4 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
(pow (log base) 4)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(log base)
(log.f64 base)
base
4
#s(literal 4 binary64)
(pow (log base) 3)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize184.0ms (1.8%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
✓accuracy98.9%
(pow.f64 (log.f64 base) #s(literal 3 binary64))
✓accuracy98.6%
(pow.f64 (log.f64 base) #s(literal 4 binary64))
✓accuracy59.5%
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
✓accuracy99.5%
(/.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)))
✓accuracy99.4%
(/.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
✓accuracy99.2%
(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓accuracy59.5%
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
✓accuracy99.6%
(/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓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)))))
✓accuracy59.5%
(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
116.0ms256×0valid
Compiler

Compiled 261 to 32 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-div: 21.0ms (27.2% of total)
ival-pow: 19.0ms (24.6% of total)
ival-mult: 11.0ms (14.3% of total)
ival-log: 11.0ms (14.3% of total)
compiled-spec: 8.0ms (10.4% of total)
ival-add: 2.0ms (2.6% of total)
ival-sqrt: 2.0ms (2.6% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series136.0ms (1.3%)

Counts
19 → 444
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 (/ (pow (log base) -2) (/ (/ 2 (log (+ (* re re) (* im im)))) (log base)))>
#<alt (pow (log base) -2)>
#<alt (/ (/ 2 (log (+ (* re re) (* im im)))) (log base))>
#<alt (* (/ (* 1/2 (log (+ (* re re) (* im im)))) (pow (log base) 4)) (pow (log base) 3))>
#<alt (/ (* 1/2 (log (+ (* re re) (* im im)))) (pow (log base) 4))>
#<alt (* 1/2 (log (+ (* re re) (* im im))))>
#<alt (log (+ (* re re) (* im im)))>
#<alt (pow (log base) 4)>
#<alt (pow (log base) 3)>
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)))>
#<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)))))>
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#<alt (+ (* -1 (/ (log (/ -1 re)) (pow (log base) 4))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 4)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 4))))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (pow (log base) 4))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 4)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (pow (log base) 4)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 4)))))))>
#<alt (* 1/2 (/ (log (pow re 2)) (pow (log base) 4)))>
#<alt (+ (* 1/2 (/ (log (pow re 2)) (pow (log base) 4))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 4)))))>
#<alt (+ (* 1/2 (/ (log (pow re 2)) (pow (log base) 4))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (pow (log base) 4)))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 4)))))))>
#<alt (+ (* 1/2 (/ (log (pow re 2)) (pow (log base) 4))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (pow (log base) 4)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log base) 4)))))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 4)))))))>
#<alt (* -1 (/ (log (/ 1 im)) (pow (log base) 4)))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (pow (log base) 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 4)))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (pow (log base) 4))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 4)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 4))))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (pow (log base) 4))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 4)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (pow (log base) 4)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 4)))))))>
#<alt (* -1 (/ (log (/ -1 im)) (pow (log base) 4)))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (pow (log base) 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 4)))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (pow (log base) 4))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 4)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 4))))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (pow (log base) 4))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 4)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (pow (log base) 4)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 4)))))))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 4)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 4)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 4)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 4)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 4)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 4)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 4)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 4)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))>
#<alt (* 1/2 (log (pow im 2)))>
#<alt (+ (* 1/2 (log (pow im 2))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (+ (* 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))))))>
#<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))) (+ (* 1/6 (/ (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))) (+ (* 1/6 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* 1/2 (log (pow re 2)))>
#<alt (+ (* 1/2 (log (pow re 2))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* 1/2 (log (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))>
#<alt (+ (* 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))))))>
#<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))) (+ (* 1/6 (/ (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))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<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 (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 (pow (log base) 3)>
#<alt (pow (log base) 3)>
#<alt (pow (log base) 3)>
#<alt (pow (log base) 3)>
#<alt (* -1 (pow (log (/ 1 base)) 3))>
#<alt (* -1 (pow (log (/ 1 base)) 3))>
#<alt (* -1 (pow (log (/ 1 base)) 3))>
#<alt (* -1 (pow (log (/ 1 base)) 3))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)>
Calls

111 calls:

TimeVariablePointExpression
38.0ms
im
@0
(/ (log im) (log base))
21.0ms
base
@0
(/ (/ 1 (log base)) (/ 2 (log (+ (* re re) (* im im)))))
14.0ms
base
@0
(/ (log im) (log base))
7.0ms
im
@-inf
(/ (log im) (log base))
7.0ms
im
@inf
(/ (log im) (log base))

rewrite393.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
4506×*-lowering-*.f32
4506×*-lowering-*.f64
3080×/-lowering-/.f32
3080×/-lowering-/.f64
1202×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031107
115194
2103994
3739494
0817094
Stop Event
1×iter limit
1×node limit
Counts
19 → 1767
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))))
(/ (pow (log base) -2) (/ (/ 2 (log (+ (* re re) (* im im)))) (log base)))
(pow (log base) -2)
(/ (/ 2 (log (+ (* re re) (* im im)))) (log base))
(* (/ (* 1/2 (log (+ (* re re) (* im im)))) (pow (log base) 4)) (pow (log base) 3))
(/ (* 1/2 (log (+ (* re re) (* im im)))) (pow (log base) 4))
(* 1/2 (log (+ (* re re) (* im im))))
(log (+ (* re re) (* im im)))
(pow (log base) 4)
(pow (log base) 3)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) #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))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))) (/.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 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))))
(neg.f64 (*.f64 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))))
(neg.f64 (*.f64 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(neg.f64 (/.f64 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal -3 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(neg.f64 (/.f64 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 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 (*.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -2 binary64)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
(/.f64 (log.f64 base) (/.f64 (/.f64 #s(literal 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 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 2 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 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (log.f64 base)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.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))) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -3 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 3 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 binary64) (log.f64 base)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (log.f64 base)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (-.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 0 binary64) (log.f64 base)))
(/.f64 (-.f64 #s(literal 0 binary64) (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 (/.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 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -4 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 -3 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.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 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #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 0 binary64) (log.f64 base))) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 base) #s(literal 3 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 2 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -4 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 4 binary64)))) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 3 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 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
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(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(neg.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 -4 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 1 binary64))
(/.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 4 binary64))) #s(literal -1 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) (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 -1 binary64) (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 -1 binary64) (log.f64 base)))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -4 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (log.f64 base)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 4 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -4 binary64)))
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 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) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -4 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -4 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal -3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))) #s(literal 3/2 binary64)))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 3/2 binary64)) (*.f64 (log.f64 (log.f64 base)) #s(literal 3/2 binary64))))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(neg.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 3 binary64)))
(neg.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (*.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 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 2 binary64)) (/.f64 #s(literal 1 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 base)))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 base))) #s(literal -1 binary64))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -3 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -3/2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log.f64 base)))
(*.f64 #s(literal 1 binary64) (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)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.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 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 3/2 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)) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3/4 binary64)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))))
(*.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 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -3 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 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) (log.f64 base))) #s(literal -1 binary64))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (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 base) (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 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 base)) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (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 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 3/4 binary64))) (pow.f64 (log.f64 base) #s(literal 3/4 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))

simplify407.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
6488×*-lowering-*.f32
6488×*-lowering-*.f64
4508×+-lowering-+.f64
4508×+-lowering-+.f32
1590×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09709125
130708842
083008842
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
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
(+ 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 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)))
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(/ -1 (* (log base) (log (/ -1 im))))
(- (* -1/2 (/ (pow re 2) (* (pow im 2) (* (log base) (pow (log (/ -1 im)) 2))))) (/ 1 (* (log base) (log (/ -1 im)))))
(- (* -1 (/ (+ (* -1/4 (/ (pow re 4) (* (log base) (pow (log (/ -1 im)) 2)))) (* 1/4 (/ (pow re 4) (* (log base) (pow (log (/ -1 im)) 3))))) (pow im 4))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (* (log base) (pow (log (/ -1 im)) 2))))) (/ 1 (* (log base) (log (/ -1 im))))))
(- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (* (log base) (pow (log (/ -1 im)) 3)))) (+ (* 1/6 (/ (pow re 6) (* (log base) (pow (log (/ -1 im)) 2)))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (* (log base) (pow (log (/ -1 im)) 2)))) (* 1/4 (/ (pow re 4) (* (log base) (pow (log (/ -1 im)) 3)))))) (log (/ -1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (* (log base) (pow (log (/ -1 im)) 2))))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (* (log base) (pow (log (/ -1 im)) 3))))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (* (log base) (pow (log (/ -1 im)) 2))))) (/ 1 (* (log base) (log (/ -1 im))))))))
(/ 2 (* (log base) (log (+ (pow im 2) (pow re 2)))))
(/ 2 (* (log base) (log (+ (pow im 2) (pow re 2)))))
(/ 2 (* (log base) (log (+ (pow im 2) (pow re 2)))))
(/ 2 (* (log base) (log (+ (pow im 2) (pow re 2)))))
(/ -2 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(/ -2 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(/ -2 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(/ -2 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(/ 2 (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(/ 2 (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(/ 2 (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(/ 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))) (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)) (pow (log base) 4)))
(+ (* 1/2 (/ (log (pow im 2)) (pow (log base) 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 4)))))
(+ (* 1/2 (/ (log (pow im 2)) (pow (log base) 4))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (pow (log base) 4)))) (* 1/2 (/ 1 (* (pow im 2) (pow (log base) 4)))))))
(+ (* 1/2 (/ (log (pow im 2)) (pow (log base) 4))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (pow (log base) 4)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log base) 4)))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log base) 4)))))))
(* -1 (/ (log (/ 1 re)) (pow (log base) 4)))
(+ (* -1 (/ (log (/ 1 re)) (pow (log base) 4))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 4)))))
(+ (* -1 (/ (log (/ 1 re)) (pow (log base) 4))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 4)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 4))))))
(+ (* -1 (/ (log (/ 1 re)) (pow (log base) 4))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 4)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (pow (log base) 4)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 4)))))))
(* -1 (/ (log (/ -1 re)) (pow (log base) 4)))
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 4))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 4)))))
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 4))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 4)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 4))))))
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 4))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 4)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (pow (log base) 4)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 4)))))))
(* 1/2 (/ (log (pow re 2)) (pow (log base) 4)))
(+ (* 1/2 (/ (log (pow re 2)) (pow (log base) 4))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 4)))))
(+ (* 1/2 (/ (log (pow re 2)) (pow (log base) 4))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (pow (log base) 4)))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 4)))))))
(+ (* 1/2 (/ (log (pow re 2)) (pow (log base) 4))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (pow (log base) 4)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log base) 4)))))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 4)))))))
(* -1 (/ (log (/ 1 im)) (pow (log base) 4)))
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 4)))))
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 4))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 4)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 4))))))
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 4))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 4)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (pow (log base) 4)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 4)))))))
(* -1 (/ (log (/ -1 im)) (pow (log base) 4)))
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 4)))))
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 4))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 4)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 4))))))
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 4))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 4)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (pow (log base) 4)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 4)))))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 4)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 4)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 4)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 4)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 4)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 4)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 4)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 4)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
(* 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))))))
(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)))
(+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))
(+ (* -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)))))
(* -2 (log (/ -1 re)))
(+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2)))
(+ (* -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)))))
(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)
(pow (log base) 3)
(pow (log base) 3)
(pow (log base) 3)
(pow (log base) 3)
(* -1 (pow (log (/ 1 base)) 3))
(* -1 (pow (log (/ 1 base)) 3))
(* -1 (pow (log (/ 1 base)) 3))
(* -1 (pow (log (/ 1 base)) 3))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
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 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im (*.f64 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 #s(literal -1/4 binary64) (*.f64 re re)) (*.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))) (/.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 (*.f64 re re) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))))))) (/.f64 (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 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64))))))
(+ (* -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 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re))) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64)))))) (/.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 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
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(+.f64 (log.f64 (*.f64 re re)) (*.f64 (*.f64 im im) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (pow.f64 re #s(literal 4 binary64))))))
(+ (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)))))
(+.f64 (log.f64 (*.f64 re re)) (*.f64 (*.f64 im im) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 im im)) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 4 binary64))))))))
(* -2 (log (/ 1 im)))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #s(literal -2 binary64))
(+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))
(+.f64 (/.f64 (*.f64 re re) (*.f64 im im)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #s(literal -2 binary64)))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+.f64 (/.f64 (*.f64 re re) (*.f64 im im)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #s(literal -2 binary64))))
(+ (* -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)))))
(+.f64 (+.f64 (/.f64 (*.f64 re re) (*.f64 im im)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #s(literal -2 binary64)))) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))))
(* -2 (log (/ -1 im)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64))
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))
(+.f64 (/.f64 (*.f64 re re) (*.f64 im im)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64)))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+.f64 (/.f64 (*.f64 re re) (*.f64 im im)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64))))
(+ (* -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)))))
(+.f64 (+.f64 (/.f64 (*.f64 re re) (*.f64 im im)) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 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))
(pow (log base) 3)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(pow (log base) 3)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(pow (log base) 3)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(pow (log base) 3)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 base)) 3))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 base)) 3))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 base)) 3))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 base)) 3))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64))

eval457.0ms (4.4%)

Compiler

Compiled 68372 to 4642 computations (93.2% saved)

prune321.0ms (3.1%)

Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New2880202900
Fresh10111
Picked325
Done011
Total2893242917
Accuracy
100.0%
Counts
2917 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.1%
(/.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)))))
▶98.6%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
98.6%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
▶59.0%
(/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
59.1%
(/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)) #s(literal 2 binary64))
59.0%
(/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
59.0%
(/.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)))
22.4%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 2 binary64) (-.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 (*.f64 re re) (*.f64 re re)))) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) (*.f64 im im)))))) (log.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))))))))
98.6%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
▶22.4%
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 (*.f64 re re) (*.f64 re re)))) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) (*.f64 im im)))))) #s(literal 2 binary64)) (/.f64 (log.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
98.6%
(/.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))))
98.6%
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 3 binary64)))))
✓99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
48.2%
(/.f64 (log.f64 im) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
98.8%
(/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)))
98.6%
(/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
98.8%
(/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
98.7%
(/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
✓98.8%
(/.f64 (log.f64 im) (log.f64 base))
47.8%
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
▶98.7%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
98.7%
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
▶98.8%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
Compiler

Compiled 856 to 549 computations (35.9% saved)

simplify183.0ms (1.7%)

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 -2 binary64))
✓cost-diff12992
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓cost-diff13120
(/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))
✓cost-diff0
(log.f64 base)
✓cost-diff0
(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓cost-diff13120
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
✓cost-diff0
(/.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 (*.f64 re re) (*.f64 re re)))) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) (*.f64 im im)))))) #s(literal 2 binary64))
✓cost-diff128
(-.f64 (/.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 (*.f64 re re) (*.f64 re re)))) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) (*.f64 im im)))))) #s(literal 2 binary64)) (/.f64 (log.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))))) #s(literal 2 binary64)))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓cost-diff384
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 (*.f64 re re) (*.f64 re re)))) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) (*.f64 im im)))))) #s(literal 2 binary64)) (/.f64 (log.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓cost-diff0
(log.f64 im)
✓cost-diff0
(log.f64 base)
✓cost-diff0
(/.f64 (log.f64 base) (log.f64 im))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
✓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))
Rules
2644×*-lowering-*.f32
2644×*-lowering-*.f64
1922×/-lowering-/.f32
1922×/-lowering-/.f64
1672×fnmadd-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
040433
1106344
2244299
3568294
41451293
53907289
67441289
08113289
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ 1 (log base)) (log im))
(/ 1 (log base))
1
(log base)
base
(log im)
im
(/ 1 (/ (log base) (log im)))
1
(/ (log base) (log im))
(log base)
base
(log im)
im
(/ (- (/ (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) 2) (/ (log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))) 2)) (/ 1 (/ 1 (log base))))
(- (/ (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) 2) (/ (log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))) 2))
(/ (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) 2)
(log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im))))))
(+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))
(* re (* re (* (* re re) (* re re))))
re
(* re (* (* re re) (* re re)))
(* (* re re) (* re re))
(* re re)
(* im (* im (* (* im im) (* im im))))
im
(* im (* (* im im) (* im im)))
(* (* im im) (* im im))
(* im im)
2
(/ (log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))) 2)
(log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re)))))
(+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))
(* (* im im) (- (* im im) (* re re)))
(- (* im im) (* re re))
(/ 1 (/ 1 (log base)))
1
(/ 1 (log base))
(log base)
base
(/ (pow (log base) -2) (/ (/ 1 (log im)) (log base)))
(pow (log base) -2)
(log base)
base
-2
(/ (/ 1 (log im)) (log base))
(/ 1 (log im))
1
(log im)
im
(/ (/ (pow (log base) -2) (/ 1 (log base))) (/ 2 (log (+ (* re re) (* im im)))))
(/ (pow (log base) -2) (/ 1 (log base)))
(pow (log base) -2)
(log base)
base
-2
(/ 1 (log base))
1
(/ 2 (log (+ (* re re) (* im im))))
2
(log (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(* re re)
re
(* im im)
im
Outputs
(* (/ 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 (/ (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
(/ (- (/ (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) 2) (/ (log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))) 2)) (/ 1 (/ 1 (log base))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 re (*.f64 re (*.f64 re re)))) (*.f64 im (*.f64 (*.f64 im im) (*.f64 im (*.f64 im im)))))) (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))))))) (log.f64 base))
(- (/ (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) 2) (/ (log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))) 2))
(*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 re (*.f64 re (*.f64 re re)))) (*.f64 im (*.f64 (*.f64 im im) (*.f64 im (*.f64 im im)))))) (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re)))))))
(/ (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) 2)
(/.f64 (log.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 re (*.f64 re (*.f64 re re)))) (*.f64 im (*.f64 (*.f64 im im) (*.f64 im (*.f64 im im)))))) #s(literal 2 binary64))
(log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im))))))
(log.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 re (*.f64 re (*.f64 re re)))) (*.f64 im (*.f64 (*.f64 im im) (*.f64 im (*.f64 im im))))))
(+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))
(+.f64 (*.f64 (*.f64 re re) (*.f64 re (*.f64 re (*.f64 re re)))) (*.f64 im (*.f64 (*.f64 im im) (*.f64 im (*.f64 im im)))))
(* re (* re (* (* re re) (* re re))))
(*.f64 (*.f64 re re) (*.f64 re (*.f64 re (*.f64 re re))))
re
(* re (* (* re re) (* re re)))
(*.f64 re (*.f64 re (*.f64 re (*.f64 re re))))
(* (* re re) (* re re))
(*.f64 re (*.f64 re (*.f64 re re)))
(* re re)
(*.f64 re re)
(* im (* im (* (* im im) (* im im))))
(*.f64 im (*.f64 (*.f64 im im) (*.f64 im (*.f64 im im))))
im
(* im (* (* im im) (* im im)))
(*.f64 (*.f64 im im) (*.f64 im (*.f64 im im)))
(* (* im im) (* im im))
(*.f64 im (*.f64 im (*.f64 im im)))
(* im im)
(*.f64 im im)
2
#s(literal 2 binary64)
(/ (log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))) 2)
(/.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))))) #s(literal 2 binary64))
(log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re)))))
(log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re)))))
(+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))
(+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))))
(* (* im im) (- (* im im) (* re re)))
(*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re)))
(- (* im im) (* re re))
(-.f64 (*.f64 im im) (*.f64 re re))
(/ 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
(/ (pow (log base) -2) (/ (/ 1 (log im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(pow (log base) -2)
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log base)
(log.f64 base)
base
-2
#s(literal -2 binary64)
(/ (/ 1 (log im)) (log base))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
1
#s(literal 1 binary64)
(log im)
(log.f64 im)
im
(/ (/ (pow (log base) -2) (/ 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)))
(/ (pow (log base) -2) (/ 1 (log base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(pow (log base) -2)
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log base)
(log.f64 base)
base
-2
#s(literal -2 binary64)
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
1
#s(literal 1 binary64)
(/ 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

localize251.0ms (2.4%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
✓accuracy99.2%
(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓accuracy99.2%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓accuracy59.5%
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (log.f64 im))
✓accuracy99.4%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
✓accuracy99.4%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))
✓accuracy99.2%
(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓accuracy98.7%
(-.f64 (/.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 (*.f64 re re) (*.f64 re re)))) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) (*.f64 im im)))))) #s(literal 2 binary64)) (/.f64 (log.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))))) #s(literal 2 binary64)))
✓accuracy95.9%
(-.f64 (*.f64 im im) (*.f64 re re))
✓accuracy32.7%
(log.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re)))))
✓accuracy24.9%
(log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 (*.f64 re re) (*.f64 re re)))) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) (*.f64 im im))))))
✓accuracy100.0%
(log.f64 im)
✓accuracy100.0%
(log.f64 base)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
✓accuracy99.4%
(/.f64 (log.f64 base) (log.f64 im))
✓accuracy100.0%
(log.f64 im)
✓accuracy100.0%
(log.f64 base)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
Results
173.0ms256×0valid
Compiler

Compiled 486 to 41 computations (91.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-div: 29.0ms (37.1% of total)
ival-log: 20.0ms (25.6% of total)
ival-mult: 17.0ms (21.8% of total)
ival-pow: 5.0ms (6.4% of total)
ival-add: 4.0ms (5.1% of total)
ival-sub: 3.0ms (3.8% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series242.0ms (2.3%)

Counts
20 → 420
Calls
Call 1
Inputs
#<alt (* (/ 1 (log base)) (log im))>
#<alt (/ 1 (log base))>
#<alt (log base)>
#<alt (log im)>
#<alt (/ 1 (/ (log base) (log im)))>
#<alt (/ (log base) (log im))>
#<alt (/ (- (/ (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) 2) (/ (log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))) 2)) (/ 1 (/ 1 (log base))))>
#<alt (/ 1 (/ 1 (log base)))>
#<alt (- (/ (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) 2) (/ (log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))) 2))>
#<alt (/ (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) 2)>
#<alt (/ (pow (log base) -2) (/ (/ 1 (log im)) (log base)))>
#<alt (pow (log base) -2)>
#<alt (/ (/ 1 (log im)) (log base))>
#<alt (/ (/ (pow (log base) -2) (/ 1 (log base))) (/ 2 (log (+ (* re re) (* im im)))))>
#<alt (/ (pow (log base) -2) (/ 1 (log base)))>
#<alt (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im))))))>
#<alt (log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re)))))>
#<alt (- (* im im) (* re re))>
#<alt (/ 1 (log im))>
#<alt (log (+ (* re re) (* im im)))>
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 (/ 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 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 (/ (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 (/ (- (* 1/2 (log (pow im 6))) (* 1/2 (log (pow im 4)))) (log base))>
#<alt (- (+ (* 1/2 (/ (log (pow im 6)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) (* 1/2 (/ (log (pow im 4)) (log base))))>
#<alt (- (+ (* 1/2 (/ (log (pow im 6)) (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 4)) (log base))))>
#<alt (- (+ (* 1/2 (/ (log (pow im 6)) (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))))))) (* 1/2 (/ (log (pow im 4)) (log base))))>
#<alt (/ (- (* -3 (log (/ 1 re))) (* -2 (log (/ 1 re)))) (log base))>
#<alt (- (+ (* -3 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) (* -2 (/ (log (/ 1 re)) (log base))))>
#<alt (- (+ (* -3 (/ (log (/ 1 re)) (log base))) (+ (* -1/48 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) (* -2 (/ (log (/ 1 re)) (log base))))>
#<alt (- (+ (* -3 (/ (log (/ 1 re)) (log base))) (+ (* -1/48 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (* (pow re 4) (log base)))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (* 1/2 (/ (pow im 6) (* (pow re 6) (log base))))))) (+ (* -2 (/ (log (/ 1 re)) (log base))) (* 1/1440 (/ (+ (* -240 (pow im 6)) (* 720 (pow im 6))) (* (pow re 6) (log base))))))>
#<alt (/ (- (* -3 (log (/ -1 re))) (* -2 (log (/ -1 re)))) (log base))>
#<alt (- (+ (* -3 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) (* -2 (/ (log (/ -1 re)) (log base))))>
#<alt (- (+ (* -3 (/ (log (/ -1 re)) (log base))) (+ (* -1/48 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) (* -2 (/ (log (/ -1 re)) (log base))))>
#<alt (- (+ (* -3 (/ (log (/ -1 re)) (log base))) (+ (* -1/48 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (* (pow re 4) (log base)))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (* 1/2 (/ (pow im 6) (* (pow re 6) (log base))))))) (+ (* -2 (/ (log (/ -1 re)) (log base))) (* 1/1440 (/ (+ (* -240 (pow im 6)) (* 720 (pow im 6))) (* (pow re 6) (log base))))))>
#<alt (/ (- (* 1/2 (log (pow re 6))) (* 1/2 (log (pow re 4)))) (log base))>
#<alt (- (+ (* 1/2 (/ (log (pow re 6)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) (* 1/2 (/ (log (pow re 4)) (log base))))>
#<alt (- (+ (* 1/2 (/ (log (pow re 6)) (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 4)) (log base))))>
#<alt (- (+ (* 1/2 (/ (log (pow re 6)) (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))))))) (* 1/2 (/ (log (pow re 4)) (log base))))>
#<alt (/ (- (* -3 (log (/ 1 im))) (* -2 (log (/ 1 im)))) (log base))>
#<alt (- (+ (* -3 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) (* -2 (/ (log (/ 1 im)) (log base))))>
#<alt (- (+ (* -3 (/ (log (/ 1 im)) (log base))) (+ (* -1/48 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) (* -2 (/ (log (/ 1 im)) (log base))))>
#<alt (- (+ (* -3 (/ (log (/ 1 im)) (log base))) (+ (* -1/48 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (* (pow im 4) (log base)))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (* 1/2 (/ (pow re 6) (* (pow im 6) (log base))))))) (+ (* -2 (/ (log (/ 1 im)) (log base))) (* 1/1440 (/ (+ (* -240 (pow re 6)) (* 720 (pow re 6))) (* (pow im 6) (log base))))))>
#<alt (/ (- (* -3 (log (/ -1 im))) (* -2 (log (/ -1 im)))) (log base))>
#<alt (- (+ (* -3 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) (* -2 (/ (log (/ -1 im)) (log base))))>
#<alt (- (+ (* -3 (/ (log (/ -1 im)) (log base))) (+ (* -1/48 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) (* -2 (/ (log (/ -1 im)) (log base))))>
#<alt (- (+ (* -3 (/ (log (/ -1 im)) (log base))) (+ (* -1/48 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (* (pow im 4) (log base)))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (* 1/2 (/ (pow re 6) (* (pow im 6) (log base))))))) (+ (* -2 (/ (log (/ -1 im)) (log base))) (* 1/1440 (/ (+ (* -240 (pow re 6)) (* 720 (pow re 6))) (* (pow im 6) (log base))))))>
#<alt (/ (- (* 1/2 (log (+ (pow im 6) (pow re 6)))) (* 1/2 (log (+ (* (pow im 2) (- (pow im 2) (pow re 2))) (pow re 4))))) (log base))>
#<alt (/ (- (* 1/2 (log (+ (pow im 6) (pow re 6)))) (* 1/2 (log (+ (* (pow im 2) (- (pow im 2) (pow re 2))) (pow re 4))))) (log base))>
#<alt (/ (- (* 1/2 (log (+ (pow im 6) (pow re 6)))) (* 1/2 (log (+ (* (pow im 2) (- (pow im 2) (pow re 2))) (pow re 4))))) (log base))>
#<alt (/ (- (* 1/2 (log (+ (pow im 6) (pow re 6)))) (* 1/2 (log (+ (* (pow im 2) (- (pow im 2) (pow re 2))) (pow re 4))))) (log base))>
#<alt (* -1 (/ (- (* 1/2 (log (+ (pow im 6) (pow re 6)))) (* 1/2 (log (+ (* (pow im 2) (- (pow im 2) (pow re 2))) (pow re 4))))) (log (/ 1 base))))>
#<alt (* -1 (/ (- (* 1/2 (log (+ (pow im 6) (pow re 6)))) (* 1/2 (log (+ (* (pow im 2) (- (pow im 2) (pow re 2))) (pow re 4))))) (log (/ 1 base))))>
#<alt (* -1 (/ (- (* 1/2 (log (+ (pow im 6) (pow re 6)))) (* 1/2 (log (+ (* (pow im 2) (- (pow im 2) (pow re 2))) (pow re 4))))) (log (/ 1 base))))>
#<alt (* -1 (/ (- (* 1/2 (log (+ (pow im 6) (pow re 6)))) (* 1/2 (log (+ (* (pow im 2) (- (pow im 2) (pow re 2))) (pow re 4))))) (log (/ 1 base))))>
#<alt (/ (- (* 1/2 (log (+ (pow im 6) (pow re 6)))) (* 1/2 (log (+ (* (pow im 2) (- (pow im 2) (pow re 2))) (pow re 4))))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (- (* 1/2 (log (+ (pow im 6) (pow re 6)))) (* 1/2 (log (+ (* (pow im 2) (- (pow im 2) (pow re 2))) (pow re 4))))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (- (* 1/2 (log (+ (pow im 6) (pow re 6)))) (* 1/2 (log (+ (* (pow im 2) (- (pow im 2) (pow re 2))) (pow re 4))))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (- (* 1/2 (log (+ (pow im 6) (pow re 6)))) (* 1/2 (log (+ (* (pow im 2) (- (pow im 2) (pow re 2))) (pow re 4))))) (+ (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 (- (* 1/2 (log (pow im 6))) (* 1/2 (log (pow im 4))))>
#<alt (- (+ (* 1/2 (log (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))) (* 1/2 (log (pow im 4))))>
#<alt (- (+ (* 1/2 (log (pow im 6))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (* 1/2 (log (pow im 4))))>
#<alt (- (+ (* 1/2 (log (pow im 6))) (* (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)))))) (* 1/2 (log (pow im 4))))>
#<alt (- (* -3 (log (/ 1 re))) (* -2 (log (/ 1 re))))>
#<alt (- (+ (* -3 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) (* -2 (log (/ 1 re))))>
#<alt (- (+ (* -3 (log (/ 1 re))) (* -1/48 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow re 4)))) (+ (* -2 (log (/ 1 re))) (* -1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (- (+ (* -3 (log (/ 1 re))) (* 1/2 (/ (pow im 6) (pow re 6)))) (+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* 1/1440 (/ (+ (* -240 (pow im 6)) (* 720 (pow im 6))) (pow re 6))) (* 1/48 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow re 4)))))))>
#<alt (- (* -3 (log (/ -1 re))) (* -2 (log (/ -1 re))))>
#<alt (- (+ (* -3 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) (* -2 (log (/ -1 re))))>
#<alt (- (+ (* -3 (log (/ -1 re))) (* -1/48 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow re 4)))) (+ (* -2 (log (/ -1 re))) (* -1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (- (+ (* -3 (log (/ -1 re))) (* 1/2 (/ (pow im 6) (pow re 6)))) (+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* 1/1440 (/ (+ (* -240 (pow im 6)) (* 720 (pow im 6))) (pow re 6))) (* 1/48 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow re 4)))))))>
#<alt (- (* 1/2 (log (pow re 6))) (* 1/2 (log (pow re 4))))>
#<alt (- (+ (* 1/2 (log (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))) (* 1/2 (log (pow re 4))))>
#<alt (- (+ (* 1/2 (log (pow re 6))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))) (* 1/2 (log (pow re 4))))>
#<alt (- (+ (* 1/2 (log (pow re 6))) (* (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)))))) (* 1/2 (log (pow re 4))))>
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#<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)))))>
Calls

105 calls:

TimeVariablePointExpression
112.0ms
base
@0
(/ (- (/ (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) 2) (/ (log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))) 2)) (/ 1 (/ 1 (log base))))
24.0ms
re
@inf
(/ (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) 2)
24.0ms
im
@-inf
(/ (log base) (log im))
18.0ms
im
@0
(/ (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) 2)
15.0ms
re
@0
(/ (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) 2)

rewrite378.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
4538×*-lowering-*.f32
4538×*-lowering-*.f64
3098×/-lowering-/.f32
3098×/-lowering-/.f64
2382×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040241
1264123
22358123
08927123
Stop Event
1×iter limit
1×node limit
Counts
20 → 775
Calls
Call 1
Inputs
(* (/ 1 (log base)) (log im))
(/ 1 (log base))
(log base)
(log im)
(/ 1 (/ (log base) (log im)))
(/ (log base) (log im))
(/ (- (/ (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) 2) (/ (log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))) 2)) (/ 1 (/ 1 (log base))))
(/ 1 (/ 1 (log base)))
(- (/ (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) 2) (/ (log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))) 2))
(/ (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) 2)
(/ (pow (log base) -2) (/ (/ 1 (log im)) (log base)))
(pow (log base) -2)
(/ (/ 1 (log im)) (log base))
(/ (/ (pow (log base) -2) (/ 1 (log base))) (/ 2 (log (+ (* re re) (* im im)))))
(/ (pow (log base) -2) (/ 1 (log base)))
(log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im))))))
(log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re)))))
(- (* im im) (* re re))
(/ 1 (log im))
(log (+ (* re re) (* im im)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (*.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64))))
(neg.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) (log.f64 base))))
(neg.f64 (/.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 im))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (log.f64 im))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) (log.f64 base)))
(/.f64 (neg.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 im)))
(/.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (*.f64 (log.f64 im) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (log.f64 base) (log.f64 im)) (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 im))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (log.f64 im)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (log.f64 im)))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.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 0 binary64) (log.f64 im)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)) (log.f64 base))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)) #s(literal 1 binary64)) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 im))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(*.f64 (/.f64 (log.f64 im) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base)))))
(exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base))) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base))) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal -1 binary64) (-.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 base)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -1 binary64))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 1 binary64)))
(*.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 -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.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 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 1 binary64)))
(*.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 (pow.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 1 binary64)))
(log.f64 base)
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))
(exp.f64 (log.f64 (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 #s(literal 1 binary64) (log.f64 base))
(*.f64 (log.f64 base) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 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 (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 (pow.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(log.f64 im)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 im))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (log.f64 im) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #s(literal -1 binary64))
(pow.f64 (log.f64 im) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 im))
(*.f64 (log.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))))
(*.f64 (pow.f64 (pow.f64 (log.f64 im) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 im) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (*.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64))))
(neg.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) (log.f64 base))))
(neg.f64 (/.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 im))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (log.f64 im))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) (log.f64 base)))
(/.f64 (neg.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 im)))
(/.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (*.f64 (log.f64 im) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (log.f64 base) (log.f64 im)) (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 im))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (log.f64 im)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (log.f64 im)))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) (log.f64 base))))
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simplify360.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
3342×+-lowering-+.f64
3342×+-lowering-+.f32
2878×*-lowering-*.f32
2878×*-lowering-*.f64
2758×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06186053
120255633
265065627
080155627
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
Calls
Call 1
Inputs
(/ (log im) (log base))
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(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(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)))
(+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))
(+ (* -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)))))
(* -2 (log (/ -1 re)))
(+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2)))
(+ (* -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)))))
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))
(/ 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) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal 1 binary64) (-.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 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))
(/ (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))))
(/ (- (* 1/2 (log (pow im 6))) (* 1/2 (log (pow im 4)))) (log base))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (pow.f64 im #s(literal 6 binary64))) (log.f64 (pow.f64 im #s(literal 4 binary64))))) (log.f64 base))
(- (+ (* 1/2 (/ (log (pow im 6)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) (* 1/2 (/ (log (pow im 4)) (log base))))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im)) (log.f64 base)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (pow.f64 im #s(literal 6 binary64))) (log.f64 (pow.f64 im #s(literal 4 binary64))))) (log.f64 base)))
(- (+ (* 1/2 (/ (log (pow im 6)) (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 4)) (log base))))
(+.f64 (*.f64 (*.f64 re re) (+.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (pow.f64 im #s(literal 6 binary64))) (log.f64 (pow.f64 im #s(literal 4 binary64))))) (log.f64 base)))
(- (+ (* 1/2 (/ (log (pow im 6)) (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))))))) (* 1/2 (/ (log (pow im 4)) (log base))))
(+.f64 (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 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 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (pow.f64 im #s(literal 6 binary64))) (log.f64 (pow.f64 im #s(literal 4 binary64))))) (log.f64 base)))
(/ (- (* -3 (log (/ 1 re))) (* -2 (log (/ 1 re)))) (log base))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(- (+ (* -3 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) (* -2 (/ (log (/ 1 re)) (log base))))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re (*.f64 re (log.f64 base)))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (log.f64 base)))
(- (+ (* -3 (/ (log (/ 1 re)) (log base))) (+ (* -1/48 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) (* -2 (/ (log (/ 1 re)) (log base))))
(+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re (*.f64 re (log.f64 base)))) (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(- (+ (* -3 (/ (log (/ 1 re)) (log base))) (+ (* -1/48 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (* (pow re 4) (log base)))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (* 1/2 (/ (pow im 6) (* (pow re 6) (log base))))))) (+ (* -2 (/ (log (/ 1 re)) (log base))) (* 1/1440 (/ (+ (* -240 (pow im 6)) (* 720 (pow im 6))) (* (pow re 6) (log base))))))
(+.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 im im) (*.f64 re (*.f64 re (log.f64 base)))) (/.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (log.f64 base))))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) re)) (-.f64 #s(literal 0 binary64) (log.f64 base)))) (*.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 480 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64))))))
(/ (- (* -3 (log (/ -1 re))) (* -2 (log (/ -1 re)))) (log base))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(- (+ (* -3 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) (* -2 (/ (log (/ -1 re)) (log base))))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re (*.f64 re (log.f64 base)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
(- (+ (* -3 (/ (log (/ -1 re)) (log base))) (+ (* -1/48 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) (* -2 (/ (log (/ -1 re)) (log base))))
(+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re (*.f64 re (log.f64 base)))) (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (-.f64 #s(literal 0 binary64) (log.f64 base))))
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(+.f64 (neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 re re) (*.f64 im im)))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+.f64 (neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 re re) (*.f64 im im)) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 im #s(literal 4 binary64)))))
(+ (* -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)))))
(+.f64 (neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 re re) (*.f64 im im)) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (pow.f64 im #s(literal 6 binary64))))))
(* -2 (log (/ -1 im)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64))
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))
(+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64)) (/.f64 (*.f64 re re) (*.f64 im im)))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+.f64 (/.f64 (*.f64 re re) (*.f64 im im)) (+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64)) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 im #s(literal 4 binary64)))))
(+ (* -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)))))
(+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 re re) (*.f64 im im)) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (pow.f64 im #s(literal 6 binary64))))))

eval250.0ms (2.4%)

Compiler

Compiled 54985 to 3451 computations (93.7% saved)

prune262.0ms (2.5%)

Pruning

24 alts after pruning (19 fresh and 5 done)

PrunedKeptTotal
New1607121619
Fresh9716
Picked325
Done033
Total1619241643
Accuracy
100.0%
Counts
1643 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶46.8%
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
98.6%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 im))))
59.1%
(/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)) #s(literal 2 binary64))
98.5%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
▶22.4%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 2 binary64) (-.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 (*.f64 re re) (*.f64 re re)))) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) (*.f64 im im)))))) (log.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))))))))
98.6%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
30.6%
(/.f64 (-.f64 (neg.f64 (*.f64 (log.f64 im) #s(literal -3 binary64))) (/.f64 (log.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
48.2%
(/.f64 (log.f64 im) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
▶98.8%
(/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓98.8%
(/.f64 (log.f64 im) (log.f64 base))
47.8%
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
✓98.7%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
▶70.2%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64))))))
98.5%
(/.f64 #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 im))))
▶98.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
48.2%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im))
98.8%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (log.f64 im)))
98.7%
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
98.5%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (log.f64 im))
✓98.8%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
70.2%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64)))))
98.7%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)) (log.f64 base))
Compiler

Compiled 708 to 487 computations (31.2% saved)

simplify183.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff192
(neg.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64)))
✓cost-diff12992
(exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64))))
✓cost-diff12992
(/.f64 (log.f64 base) (exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64)))))
✓cost-diff13120
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64))))))
✓cost-diff0
(log.f64 base)
✓cost-diff0
(/.f64 (log.f64 base) (log.f64 im))
✓cost-diff0
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64))
✓cost-diff12928
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (-.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 (*.f64 re re) (*.f64 re re)))) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) (*.f64 im im)))))) (log.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re)))))))
✓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) (-.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 (*.f64 re re) (*.f64 re re)))) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) (*.f64 im im)))))) (log.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))))))))
✓cost-diff0
(log.f64 im)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (log.f64 im))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓cost-diff0
(log.f64 im)
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓cost-diff256
(/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
Rules
1950×--lowering--.f32
1950×--lowering--.f64
1888×*-lowering-*.f32
1888×*-lowering-*.f64
1482×fnmadd-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041397
1108307
2246264
3508260
41269260
53527260
65409260
08228260
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (log im) (/ 1 (/ 1 (log base))))
(log im)
im
(/ 1 (/ 1 (log base)))
1
(/ 1 (log base))
(log base)
base
(/ 1 (* (/ 1 (log im)) (log base)))
1
(* (/ 1 (log im)) (log base))
(/ 1 (log im))
(log im)
im
(log base)
base
(/ (/ 1 (log base)) (/ 2 (- (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) (log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))))))
(/ 1 (log base))
1
(log base)
base
(/ 2 (- (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) (log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re)))))))
2
(- (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) (log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))))
(log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im))))))
(+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))
(* re (* re (* (* re re) (* re re))))
re
(* re (* (* re re) (* re re)))
(* (* re re) (* re re))
(* re re)
(* im (* im (* (* im im) (* im im))))
im
(* im (* (* im im) (* im im)))
(* (* im im) (* im im))
(* im im)
(log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re)))))
(+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))
(* (* im im) (- (* im im) (* re re)))
(- (* im im) (* re re))
(pow (pow (/ (log base) (log im)) -1/2) 2)
(pow (/ (log base) (log im)) -1/2)
(/ (log base) (log im))
(log base)
base
(log im)
im
-1/2
2
(/ 1 (/ (log base) (exp (neg (* (log (log im)) -1)))))
1
(/ (log base) (exp (neg (* (log (log im)) -1))))
(log base)
base
(exp (neg (* (log (log im)) -1)))
(neg (* (log (log im)) -1))
(* (log (log im)) -1)
(log (log im))
(log im)
im
-1
Outputs
(/ (log im) (/ 1 (/ 1 (log base))))
(/.f64 (log.f64 im) (log.f64 base))
(log im)
(log.f64 im)
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
(/ 1 (* (/ 1 (log im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
1
#s(literal 1 binary64)
(* (/ 1 (log im)) (log base))
(/.f64 (log.f64 base) (log.f64 im))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(log im)
(log.f64 im)
im
(log base)
(log.f64 base)
base
(/ (/ 1 (log base)) (/ 2 (- (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) (log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))))))
(/.f64 (-.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re (*.f64 re (*.f64 re re))))) (*.f64 im (*.f64 im (*.f64 im (*.f64 im (*.f64 im im))))))) (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 (+.f64 im re) (*.f64 im (*.f64 im (-.f64 im re))))))) (*.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 (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) (log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re)))))))
(/.f64 #s(literal 2 binary64) (-.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re (*.f64 re (*.f64 re re))))) (*.f64 im (*.f64 im (*.f64 im (*.f64 im (*.f64 im im))))))) (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 (+.f64 im re) (*.f64 im (*.f64 im (-.f64 im re))))))))
2
#s(literal 2 binary64)
(- (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) (log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))))
(-.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re (*.f64 re (*.f64 re re))))) (*.f64 im (*.f64 im (*.f64 im (*.f64 im (*.f64 im im))))))) (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 (+.f64 im re) (*.f64 im (*.f64 im (-.f64 im re)))))))
(log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im))))))
(log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re (*.f64 re (*.f64 re re))))) (*.f64 im (*.f64 im (*.f64 im (*.f64 im (*.f64 im im)))))))
(+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))
(+.f64 (*.f64 re (*.f64 re (*.f64 re (*.f64 re (*.f64 re re))))) (*.f64 im (*.f64 im (*.f64 im (*.f64 im (*.f64 im im))))))
(* re (* re (* (* re re) (* re re))))
(*.f64 re (*.f64 re (*.f64 re (*.f64 re (*.f64 re re)))))
re
(* re (* (* re re) (* re re)))
(*.f64 re (*.f64 re (*.f64 re (*.f64 re re))))
(* (* re re) (* re re))
(*.f64 re (*.f64 re (*.f64 re re)))
(* re re)
(*.f64 re re)
(* im (* im (* (* im im) (* im im))))
(*.f64 im (*.f64 im (*.f64 im (*.f64 im (*.f64 im im)))))
im
(* im (* (* im im) (* im im)))
(*.f64 im (*.f64 im (*.f64 im (*.f64 im im))))
(* (* im im) (* im im))
(*.f64 im (*.f64 im (*.f64 im im)))
(* im im)
(*.f64 im im)
(log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re)))))
(log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 (+.f64 im re) (*.f64 im (*.f64 im (-.f64 im re))))))
(+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))
(+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 (+.f64 im re) (*.f64 im (*.f64 im (-.f64 im re)))))
(* (* im im) (- (* im im) (* re re)))
(*.f64 (+.f64 im re) (*.f64 im (*.f64 im (-.f64 im re))))
(- (* im im) (* re re))
(-.f64 (*.f64 im im) (*.f64 re re))
(pow (pow (/ (log base) (log im)) -1/2) 2)
(/.f64 (log.f64 im) (log.f64 base))
(pow (/ (log base) (log im)) -1/2)
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64))
(/ (log base) (log im))
(/.f64 (log.f64 base) (log.f64 im))
(log base)
(log.f64 base)
base
(log im)
(log.f64 im)
im
-1/2
#s(literal -1/2 binary64)
2
#s(literal 2 binary64)
(/ 1 (/ (log base) (exp (neg (* (log (log im)) -1)))))
(/.f64 (log.f64 im) (log.f64 base))
1
#s(literal 1 binary64)
(/ (log base) (exp (neg (* (log (log im)) -1))))
(/.f64 (log.f64 base) (log.f64 im))
(log base)
(log.f64 base)
base
(exp (neg (* (log (log im)) -1)))
(log.f64 im)
(neg (* (log (log im)) -1))
(log.f64 (log.f64 im))
(* (log (log im)) -1)
(log.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)))
(log (log im))
(log.f64 (log.f64 im))
(log im)
(log.f64 im)
im
-1
#s(literal -1 binary64)

localize215.0ms (2.1%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(log.f64 (log.f64 im))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64))))))
✓accuracy99.8%
(/.f64 (log.f64 base) (exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64)))))
✓accuracy99.4%
(exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64))))
✓accuracy100.0%
(log.f64 base)
✓accuracy99.9%
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64))
✓accuracy99.8%
(/.f64 (log.f64 base) (log.f64 im))
✓accuracy99.7%
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓accuracy99.5%
(-.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 (*.f64 re re) (*.f64 re re)))) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) (*.f64 im im)))))) (log.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))))))
✓accuracy97.8%
(-.f64 (*.f64 im im) (*.f64 re re))
✓accuracy75.0%
(log.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re)))))
✓accuracy72.0%
(log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 (*.f64 re re) (*.f64 re re)))) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) (*.f64 im im))))))
✓accuracy100.0%
(log.f64 base)
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (log.f64 im))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))
✓accuracy100.0%
(log.f64 base)
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓accuracy99.8%
(/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
Results
75.0ms169×0invalid
45.0ms87×0valid
Compiler

Compiled 456 to 42 computations (90.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-div: 19.0ms (27.9% of total)
ival-mult: 19.0ms (27.9% of total)
ival-log: 15.0ms (22.1% of total)
ival-pow: 6.0ms (8.8% of total)
ival-sub: 3.0ms (4.4% of total)
ival-exp: 2.0ms (2.9% of total)
ival-add: 2.0ms (2.9% of total)
const: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series116.0ms (1.1%)

Counts
22 → 444
Calls
Call 1
Inputs
#<alt (/ (log im) (/ 1 (/ 1 (log base))))>
#<alt (/ 1 (/ 1 (log base)))>
#<alt (log im)>
#<alt (/ 1 (log base))>
#<alt (/ 1 (* (/ 1 (log im)) (log base)))>
#<alt (* (/ 1 (log im)) (log base))>
#<alt (/ 1 (log im))>
#<alt (/ (/ 1 (log base)) (/ 2 (- (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) (log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))))))>
#<alt (log base)>
#<alt (/ 2 (- (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) (log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re)))))))>
#<alt (pow (pow (/ (log base) (log im)) -1/2) 2)>
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#<alt (- (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) (log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))))>
#<alt (log (log im))>
Outputs
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#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
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#<alt (log base)>
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#<alt (log im)>
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#<alt (/ (log im) (log base))>
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#<alt (* 1/2 (/ (- (log (pow re 6)) (log (pow re 4))) (log base)))>
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#<alt (+ (* 1/2 (/ (- (log (pow re 6)) (log (pow re 4))) (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 (* 1/2 (/ (- (* -6 (log (/ 1 im))) (* -4 (log (/ 1 im)))) (log base)))>
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#<alt (* 1/2 (/ (- (* -6 (log (/ -1 im))) (* -4 (log (/ -1 im)))) (log base)))>
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#<alt (+ (* -1/48 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (* (pow im 4) (log base)))) (+ (* 1/2 (/ (- (* -6 (log (/ -1 im))) (* -4 (log (/ -1 im)))) (log base))) (+ (* 1/2 (/ (- (/ (pow re 6) (log base)) (* 1/720 (/ (+ (* -240 (pow re 6)) (* 720 (pow re 6))) (log base)))) (pow im 6))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
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#<alt (+ (* (pow re 2) (- (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* 2/3 (/ 1 (* (pow im 6) (pow (- (log (pow im 6)) (log (pow im 4))) 2)))) (+ (* 2 (/ 1 (* (pow im 6) (pow (- (log (pow im 6)) (log (pow im 4))) 3)))) (* 2 (/ 1 (* (pow im 6) (pow (- (log (pow im 6)) (log (pow im 4))) 4)))))))) (+ (* 2 (/ 1 (* (pow im 4) (pow (- (log (pow im 6)) (log (pow im 4))) 3)))) (/ 1 (* (pow im 4) (pow (- (log (pow im 6)) (log (pow im 4))) 2)))))) (* 2 (/ 1 (* (pow im 2) (pow (- (log (pow im 6)) (log (pow im 4))) 2)))))) (* 2 (/ 1 (- (log (pow im 6)) (log (pow im 4))))))>
#<alt (/ 2 (- (* -6 (log (/ 1 re))) (* -4 (log (/ 1 re)))))>
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#<alt (- (+ (* -1 (/ (+ (* -2 (/ (pow im 4) (pow (- (* -6 (log (/ 1 re))) (* -4 (log (/ 1 re)))) 3))) (* -1/12 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow (- (* -6 (log (/ 1 re))) (* -4 (log (/ 1 re)))) 2)))) (pow re 4))) (* 2 (/ 1 (- (* -6 (log (/ 1 re))) (* -4 (log (/ 1 re))))))) (* 2 (/ (pow im 2) (* (pow re 2) (pow (- (* -6 (log (/ 1 re))) (* -4 (log (/ 1 re)))) 2)))))>
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#<alt (/ 2 (- (* -6 (log (/ -1 re))) (* -4 (log (/ -1 re)))))>
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#<alt (- (+ (* -6 (log (/ 1 im))) (* -1/24 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4)))) (+ (* -4 (log (/ 1 im))) (* -1 (/ (pow re 2) (pow im 2)))))>
#<alt (- (+ (* -6 (log (/ 1 im))) (/ (pow re 6) (pow im 6))) (+ (* -4 (log (/ 1 im))) (+ (* -1 (/ (pow re 2) (pow im 2))) (+ (* 1/720 (/ (+ (* -240 (pow re 6)) (* 720 (pow re 6))) (pow im 6))) (* 1/24 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4)))))))>
#<alt (- (* -6 (log (/ -1 im))) (* -4 (log (/ -1 im))))>
#<alt (- (+ (* -6 (log (/ -1 im))) (/ (pow re 2) (pow im 2))) (* -4 (log (/ -1 im))))>
#<alt (- (+ (* -6 (log (/ -1 im))) (* -1/24 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4)))) (+ (* -4 (log (/ -1 im))) (* -1 (/ (pow re 2) (pow im 2)))))>
#<alt (- (+ (* -6 (log (/ -1 im))) (/ (pow re 6) (pow im 6))) (+ (* -4 (log (/ -1 im))) (+ (* -1 (/ (pow re 2) (pow im 2))) (+ (* 1/720 (/ (+ (* -240 (pow re 6)) (* 720 (pow re 6))) (pow im 6))) (* 1/24 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4)))))))>
#<alt (log (log im))>
#<alt (log (log im))>
#<alt (log (log im))>
#<alt (log (log im))>
#<alt (log (* -1 (log (/ 1 im))))>
#<alt (log (* -1 (log (/ 1 im))))>
#<alt (log (* -1 (log (/ 1 im))))>
#<alt (log (* -1 (log (/ 1 im))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 im)))))>
Calls

111 calls:

TimeVariablePointExpression
22.0ms
im
@-inf
(/ 1 (/ (log base) (exp (neg (* (log (log im)) -1)))))
18.0ms
base
@0
(/ 1 (/ (log base) (exp (neg (* (log (log im)) -1)))))
16.0ms
im
@inf
(/ 1 (/ (log base) (exp (neg (* (log (log im)) -1)))))
11.0ms
im
@0
(/ 1 (/ (log base) (exp (neg (* (log (log im)) -1)))))
5.0ms
base
@-inf
(/ (/ 1 (log base)) (/ 2 (- (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) (log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))))))

rewrite362.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
3130×/-lowering-/.f32
3130×/-lowering-/.f64
3124×*-lowering-*.f32
3124×*-lowering-*.f64
1568×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041224
1242163
21681163
08329163
Stop Event
1×iter limit
1×node limit
Counts
22 → 886
Calls
Call 1
Inputs
(/ (log im) (/ 1 (/ 1 (log base))))
(/ 1 (/ 1 (log base)))
(log im)
(/ 1 (log base))
(/ 1 (* (/ 1 (log im)) (log base)))
(* (/ 1 (log im)) (log base))
(/ 1 (log im))
(/ (/ 1 (log base)) (/ 2 (- (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) (log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))))))
(log base)
(/ 2 (- (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) (log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re)))))))
(pow (pow (/ (log base) (log im)) -1/2) 2)
(pow (/ (log base) (log im)) -1/2)
(/ (log base) (log im))
(/ 1 (/ (log base) (exp (neg (* (log (log im)) -1)))))
(/ (log base) (exp (neg (* (log (log im)) -1))))
(exp (neg (* (log (log im)) -1)))
(neg (* (log (log im)) -1))
(log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im))))))
(log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re)))))
(- (* im im) (* re re))
(- (log (+ (* re (* re (* (* re re) (* re re)))) (* im (* im (* (* im im) (* im im)))))) (log (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))))
(log (log im))
Outputs
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(neg.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(/.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal 2 binary64))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (log.f64 base) (log.f64 im)))))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (pow.f64 (log.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.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 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))) #s(literal 1 binary64)))
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (log.f64 im)))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -3/4 binary64)) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/4 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 im)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (log.f64 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 #s(literal 1 binary64) (pow.f64 (log.f64 im) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 im) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 im) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 im) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 im) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (pow.f64 (log.f64 im) #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 im))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 im))) (/.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)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 im))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 im) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 im) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(log.f64 base)
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))
(exp.f64 (log.f64 (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 base) #s(literal -1 binary64)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal -1 binary64))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 base))
(*.f64 (log.f64 base) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 1 binary64)))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal -1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (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 (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)))
(log.f64 im)
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))
(exp.f64 (log.f64 (log.f64 im)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 im)))
(neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(/.f64 (log.f64 im) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal -1 binary64))
(pow.f64 (log.f64 im) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 im))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 im))) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (log.f64 im)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 im)))
(*.f64 #s(literal 1 binary64) (log.f64 im))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 im)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #s(literal 1 binary64)))
(*.f64 (log.f64 im) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #s(literal -1 binary64))
(*.f64 (pow.f64 (pow.f64 (log.f64 im) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 im) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -1 binary64))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.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 (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)))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(neg.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(/.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal 2 binary64))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (log.f64 base) (log.f64 im)))))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (pow.f64 (log.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
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(*.f64 (*.f64 (log.f64 (*.f64 (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im))))) (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 (+.f64 im re) (*.f64 (-.f64 im re) (*.f64 im im)))))) (log.f64 (/.f64 (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im))))) (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 (+.f64 im re) (*.f64 (-.f64 im re) (*.f64 im im))))))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im))))) (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 (+.f64 im re) (*.f64 (-.f64 im re) (*.f64 im im))))))))
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(log.f64 (log.f64 im))
(+.f64 (log.f64 (log.f64 im)) #s(literal 0 binary64))
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simplify380.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
4864×*-lowering-*.f32
4864×*-lowering-*.f64
2784×+-lowering-+.f64
2784×+-lowering-+.f32
2226×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06736393
121056007
274986003
085376003
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
Calls
Call 1
Inputs
(/ (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)))
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(/ (+ (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))))
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(+ (log (pow re 4)) (* (pow im 2) (- (* (pow im 2) (+ (* 2/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))
(* -4 (log (/ 1 im)))
(+ (* -4 (log (/ 1 im))) (* -1 (/ (pow re 2) (pow im 2))))
(+ (* -4 (log (/ 1 im))) (+ (* -1 (/ (pow re 2) (pow im 2))) (* 1/24 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4)))))
(+ (* -4 (log (/ 1 im))) (+ (* -1 (/ (pow re 2) (pow im 2))) (+ (* 1/720 (/ (+ (* -240 (pow re 6)) (* 720 (pow re 6))) (pow im 6))) (* 1/24 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4))))))
(* -4 (log (/ -1 im)))
(+ (* -4 (log (/ -1 im))) (* -1 (/ (pow re 2) (pow im 2))))
(+ (* -4 (log (/ -1 im))) (+ (* -1 (/ (pow re 2) (pow im 2))) (* 1/24 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4)))))
(+ (* -4 (log (/ -1 im))) (+ (* -1 (/ (pow re 2) (pow im 2))) (+ (* 1/720 (/ (+ (* -240 (pow re 6)) (* 720 (pow re 6))) (pow im 6))) (* 1/24 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4))))))
(* -1 (pow re 2))
(- (pow im 2) (pow re 2))
(- (pow im 2) (pow re 2))
(- (pow im 2) (pow re 2))
(pow im 2)
(* (pow im 2) (+ 1 (* -1 (/ (pow re 2) (pow im 2)))))
(* (pow im 2) (+ 1 (* -1 (/ (pow re 2) (pow im 2)))))
(* (pow im 2) (+ 1 (* -1 (/ (pow re 2) (pow im 2)))))
(pow im 2)
(* (pow im 2) (+ 1 (* -1 (/ (pow re 2) (pow im 2)))))
(* (pow im 2) (+ 1 (* -1 (/ (pow re 2) (pow im 2)))))
(* (pow im 2) (+ 1 (* -1 (/ (pow re 2) (pow im 2)))))
(pow im 2)
(+ (* -1 (pow re 2)) (pow im 2))
(+ (* -1 (pow re 2)) (pow im 2))
(+ (* -1 (pow re 2)) (pow im 2))
(* -1 (pow re 2))
(* (pow re 2) (- (/ (pow im 2) (pow re 2)) 1))
(* (pow re 2) (- (/ (pow im 2) (pow re 2)) 1))
(* (pow re 2) (- (/ (pow im 2) (pow re 2)) 1))
(* -1 (pow re 2))
(* (pow re 2) (- (/ (pow im 2) (pow re 2)) 1))
(* (pow re 2) (- (/ (pow im 2) (pow re 2)) 1))
(* (pow re 2) (- (/ (pow im 2) (pow re 2)) 1))
(- (log (pow im 6)) (log (pow im 4)))
(- (+ (log (pow im 6)) (/ (pow re 2) (pow im 2))) (log (pow im 4)))
(- (+ (log (pow im 6)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2))))) (log (pow im 4)))
(- (+ (log (pow im 6)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2))))) (log (pow im 4)))
(- (* -6 (log (/ 1 re))) (* -4 (log (/ 1 re))))
(- (+ (* -6 (log (/ 1 re))) (/ (pow im 2) (pow re 2))) (* -4 (log (/ 1 re))))
(- (+ (* -6 (log (/ 1 re))) (* -1/24 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow re 4)))) (+ (* -4 (log (/ 1 re))) (* -1 (/ (pow im 2) (pow re 2)))))
(- (+ (* -6 (log (/ 1 re))) (/ (pow im 6) (pow re 6))) (+ (* -4 (log (/ 1 re))) (+ (* -1 (/ (pow im 2) (pow re 2))) (+ (* 1/720 (/ (+ (* -240 (pow im 6)) (* 720 (pow im 6))) (pow re 6))) (* 1/24 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow re 4)))))))
(- (* -6 (log (/ -1 re))) (* -4 (log (/ -1 re))))
(- (+ (* -6 (log (/ -1 re))) (/ (pow im 2) (pow re 2))) (* -4 (log (/ -1 re))))
(- (+ (* -6 (log (/ -1 re))) (* -1/24 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow re 4)))) (+ (* -4 (log (/ -1 re))) (* -1 (/ (pow im 2) (pow re 2)))))
(- (+ (* -6 (log (/ -1 re))) (/ (pow im 6) (pow re 6))) (+ (* -4 (log (/ -1 re))) (+ (* -1 (/ (pow im 2) (pow re 2))) (+ (* 1/720 (/ (+ (* -240 (pow im 6)) (* 720 (pow im 6))) (pow re 6))) (* 1/24 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow re 4)))))))
(- (log (pow re 6)) (log (pow re 4)))
(- (+ (log (pow re 6)) (/ (pow im 2) (pow re 2))) (log (pow re 4)))
(- (+ (log (pow re 6)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2))))) (log (pow re 4)))
(- (+ (log (pow re 6)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2))))) (log (pow re 4)))
(- (* -6 (log (/ 1 im))) (* -4 (log (/ 1 im))))
(- (+ (* -6 (log (/ 1 im))) (/ (pow re 2) (pow im 2))) (* -4 (log (/ 1 im))))
(- (+ (* -6 (log (/ 1 im))) (* -1/24 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4)))) (+ (* -4 (log (/ 1 im))) (* -1 (/ (pow re 2) (pow im 2)))))
(- (+ (* -6 (log (/ 1 im))) (/ (pow re 6) (pow im 6))) (+ (* -4 (log (/ 1 im))) (+ (* -1 (/ (pow re 2) (pow im 2))) (+ (* 1/720 (/ (+ (* -240 (pow re 6)) (* 720 (pow re 6))) (pow im 6))) (* 1/24 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4)))))))
(- (* -6 (log (/ -1 im))) (* -4 (log (/ -1 im))))
(- (+ (* -6 (log (/ -1 im))) (/ (pow re 2) (pow im 2))) (* -4 (log (/ -1 im))))
(- (+ (* -6 (log (/ -1 im))) (* -1/24 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4)))) (+ (* -4 (log (/ -1 im))) (* -1 (/ (pow re 2) (pow im 2)))))
(- (+ (* -6 (log (/ -1 im))) (/ (pow re 6) (pow im 6))) (+ (* -4 (log (/ -1 im))) (+ (* -1 (/ (pow re 2) (pow im 2))) (+ (* 1/720 (/ (+ (* -240 (pow re 6)) (* 720 (pow re 6))) (pow im 6))) (* 1/24 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4)))))))
(log (log im))
(log (log im))
(log (log im))
(log (log im))
(log (* -1 (log (/ 1 im))))
(log (* -1 (log (/ 1 im))))
(log (* -1 (log (/ 1 im))))
(log (* -1 (log (/ 1 im))))
(log (+ (log -1) (* -1 (log (/ -1 im)))))
(log (+ (log -1) (* -1 (log (/ -1 im)))))
(log (+ (log -1) (* -1 (log (/ -1 im)))))
(log (+ (log -1) (* -1 (log (/ -1 im)))))
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 (/ 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))
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(/.f64 (log.f64 im) (log.f64 base))
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(* -1 (/ (log im) (log (/ 1 base))))
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(/ (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)
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(log base)
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(* -1 (log (/ 1 base)))
(log.f64 base)
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(log.f64 base)
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(-.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)
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(log.f64 im)
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(log.f64 im)
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(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
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(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
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(-.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)))
(/ 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))
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(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
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(/ (log im) (log base))
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(/ (log im) (log base))
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(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
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(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
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(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
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(/ (+ (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))
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(/.f64 (log.f64 im) (log.f64 base))
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(* -1 (/ (log im) (log (/ 1 base))))
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(/ (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)))))
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(/ (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 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))
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(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
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(/ (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 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))
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(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
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(/ 1 (log im))
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(/ 1 (log im))
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(/ 1 (log im))
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(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ -1 (log (/ 1 im)))
(neg.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)))
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(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(* 1/2 (/ (- (log (+ (pow im 6) (pow re 6))) (log (+ (* (pow im 2) (- (pow im 2) (pow re 2))) (pow re 4)))) (log base)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (log.f64 (+.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))) (pow.f64 re #s(literal 4 binary64)))))) (log.f64 base))
(* 1/2 (/ (- (log (+ (pow im 6) (pow re 6))) (log (+ (* (pow im 2) (- (pow im 2) (pow re 2))) (pow re 4)))) (log base)))
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(pow im 2)
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(* (pow re 2) (- (/ (pow im 2) (pow re 2)) 1))
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(- (+ (* -6 (log (/ -1 re))) (/ (pow im 2) (pow re 2))) (* -4 (log (/ -1 re))))
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(- (log (pow re 6)) (log (pow re 4)))
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(- (* -6 (log (/ 1 im))) (* -4 (log (/ 1 im))))
(neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64)))
(- (+ (* -6 (log (/ 1 im))) (/ (pow re 2) (pow im 2))) (* -4 (log (/ 1 im))))
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(log (log im))
(log.f64 (log.f64 im))
(log (log im))
(log.f64 (log.f64 im))
(log (log im))
(log.f64 (log.f64 im))
(log (log im))
(log.f64 (log.f64 im))
(log (* -1 (log (/ 1 im))))
(log.f64 (log.f64 im))
(log (* -1 (log (/ 1 im))))
(log.f64 (log.f64 im))
(log (* -1 (log (/ 1 im))))
(log.f64 (log.f64 im))
(log (* -1 (log (/ 1 im))))
(log.f64 (log.f64 im))
(log (+ (log -1) (* -1 (log (/ -1 im)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(log (+ (log -1) (* -1 (log (/ -1 im)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(log (+ (log -1) (* -1 (log (/ -1 im)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(log (+ (log -1) (* -1 (log (/ -1 im)))))
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eval237.0ms (2.3%)

Compiler

Compiled 55358 to 3744 computations (93.2% saved)

prune180.0ms (1.7%)

Pruning

24 alts after pruning (17 fresh and 7 done)

PrunedKeptTotal
New160051605
Fresh21214
Picked325
Done055
Total1605241629
Accuracy
100.0%
Counts
1629 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.6%
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
46.8%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))
98.6%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 im))))
59.1%
(/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)) #s(literal 2 binary64))
98.5%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
30.5%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 2 binary64) (-.f64 (neg.f64 (*.f64 (log.f64 im) #s(literal -6 binary64))) (log.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))))))))
98.6%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
✓99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
48.2%
(/.f64 (log.f64 im) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓98.8%
(/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓98.8%
(/.f64 (log.f64 im) (log.f64 base))
47.8%
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
✓98.7%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
70.2%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (exp.f64 (log.f64 (log.f64 im)))))
70.7%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (log.f64 im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)))
98.5%
(/.f64 #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 im))))
✓98.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
48.2%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im))
98.8%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (log.f64 im)))
98.5%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (log.f64 im))
✓98.8%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
70.2%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64)))))
98.7%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)) (log.f64 base))
Compiler

Compiled 1189 to 428 computations (64% saved)

regimes112.0ms (1.1%)

Counts
55 → 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 (log.f64 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 1 binary64) (log.f64 im)))
(/.f64 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 base))
(/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)) #s(literal 2 binary64))
(*.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 (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 (neg.f64 (*.f64 (log.f64 im) #s(literal -6 binary64))) (log.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))))))))
(/.f64 (-.f64 (neg.f64 (*.f64 (log.f64 im) #s(literal -3 binary64))) (/.f64 (log.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))))) #s(literal 2 binary64))) (/.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 re (*.f64 re (*.f64 (*.f64 re re) (*.f64 re re)))) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) (*.f64 im im)))))) (log.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))))))))
(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 (*.f64 re re) (*.f64 re re)))) (*.f64 im (*.f64 im (*.f64 (*.f64 im im) (*.f64 im im)))))) #s(literal 2 binary64)) (/.f64 (log.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (exp.f64 (log.f64 (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))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (log.f64 im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64))))))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 im))))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (log.f64 im))
(/.f64 #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 im))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (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))))
(/.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 (*.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 (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 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.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 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.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 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (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 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 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 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (/.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 6 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:

18.0ms
im
17.0ms
(log.f64 base)
16.0ms
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
15.0ms
re
15.0ms
base
Results
AccuracySegmentsBranch
99.4%1re
99.4%1im
99.4%1base
99.4%1(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.4%1(log.f64 base)
Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes16.0ms (0.2%)

Accuracy

Total -25.8b remaining (-3360%)

Threshold costs -25.8b (-3360%)

Counts
11 → 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 (log.f64 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 1 binary64) (log.f64 im)))
(/.f64 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 base))
(/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 base)) #s(literal 2 binary64))
(*.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)))))
Outputs
(/.f64 (log.f64 im) (log.f64 base))
Calls

4 calls:

4.0ms
(log.f64 base)
4.0ms
re
4.0ms
im
4.0ms
base
Results
AccuracySegmentsBranch
98.8%1re
98.8%1im
98.8%1base
98.8%1(log.f64 base)
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify9.0ms (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))

soundness592.0ms (5.7%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
03624474
111184052
238504046
081024046
01814
13013
23913
3519
4607
5627
61157
73337
814497
924927
1037737
1140897
1245597
1353047
1463517
1576587
080177
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)

preprocess32.0ms (0.3%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 212 to 138 computations (34.9% saved)

end0.0ms (0%)

Profiling

Loading profile data...