math.log/2 on complex, real part

Time bar (total: 10.7s)

analyze238.0ms (2.2%)

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

Compiled 32 to 19 computations (40.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 138.0ms
ival-mult: 56.0ms (40.7% of total)
ival-log: 33.0ms (24% of total)
ival-add: 19.0ms (13.8% of total)
ival-atan2: 11.0ms (8% of total)
ival-sqrt: 9.0ms (6.5% of total)
ival-div: 7.0ms (5.1% of total)
const: 2.0ms (1.5% of total)
backward-pass: 1.0ms (0.7% of total)

sample2.1s (19.2%)

Results
1.7s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 330.0ms (27.9% of total)
ival-atan2: 325.0ms (27.4% of total)
ival-log: 210.0ms (17.7% of total)
ival-add: 146.0ms (12.3% of total)
ival-sqrt: 102.0ms (8.6% of total)
ival-div: 56.0ms (4.7% of total)
const: 12.0ms (1% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess321.0ms (3%)

Algorithm
2×egg-herbie
Rules
4572×*-lowering-*.f32
4572×*-lowering-*.f64
1940×fnmadd-define
1908×sum3-define
1858×cube-prod
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
079127
1186117
2323117
364489
4131775
5236175
6718875
01812
13311
24211
3549
4637
5657
61187
73347
814477
924857
1037587
1140747
1245667
1353307
1464237
1578107
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)

explain321.0ms (3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1340-2(1.442682361970833e-305 1.9082425252488898e-157 1.4241576458488586e-282)(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
208.0ms512×0valid
Compiler

Compiled 277 to 56 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-atan2: 24.0ms (31% of total)
ival-log: 20.0ms (25.8% of total)
ival-mult: 17.0ms (22% of total)
ival-add: 7.0ms (9% of total)
ival-sqrt: 4.0ms (5.2% of total)
ival-div: 3.0ms (3.9% of total)
const: 1.0ms (1.3% 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
▶49.5%
(/.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))))
▶99.5%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Compiler

Compiled 41 to 25 computations (39% saved)

simplify225.0ms (2.1%)

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
4080×*-lowering-*.f32
4080×*-lowering-*.f64
1908×sum3-define
1840×cube-prod
1670×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01975
13473
24373
35473
46373
56573
611873
733573
8143173
9247473
10373973
11405673
12454873
13530173
14639573
15778273
0807673
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)

localize158.0ms (1.5%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
✓accuracy99.4%
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓accuracy99.2%
(*.f64 (log.f64 base) (log.f64 base))
✓accuracy51.7%
(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)
✓accuracy99.5%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Results
114.0ms256×0valid
Compiler

Compiled 142 to 22 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
compiled-spec: 36.0ms (34.6% of total)
ival-sqrt: 25.0ms (24% of total)
ival-mult: 18.0ms (17.3% of total)
ival-log: 15.0ms (14.4% of total)
ival-add: 5.0ms (4.8% of total)
ival-div: 3.0ms (2.9% of total)
ival-atan2: 2.0ms (1.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series117.0ms (1.1%)

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
51.0ms
base
@0
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
36.0ms
base
@-inf
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
7.0ms
base
@inf
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
6.0ms
im
@inf
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
2.0ms
re
@0
(/ (log (sqrt (+ (* re re) (* im im)))) (log base))

rewrite342.0ms (3.2%)

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
01951
19748
273548
3703448
0839648
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 (log.f64 base) (*.f64 #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 6 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (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 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 #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) (neg.f64 (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 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)) (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 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 (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 (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))) (neg.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 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 (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 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)) (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 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 (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)))

simplify300.0ms (2.8%)

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
111183758
238563658
081153658
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 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))) (log.f64 base)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) im) im)))) (/.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 (*.f64 (log.f64 base) im) im)) (*.f64 re (*.f64 re (+.f64 (*.f64 (*.f64 re (/.f64 re (pow.f64 im #s(literal 6 binary64)))) (/.f64 #s(literal 1/6 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 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re) (log.f64 base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+.f64 (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re) (log.f64 base)) (+.f64 (/.f64 (log.f64 re) (log.f64 base)) (/.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 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re) (log.f64 base)) (+.f64 (/.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)))
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(*.f64 re (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re) (+.f64 #s(literal 1 binary64) (/.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 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1/8 binary64)) (*.f64 (*.f64 re re) (*.f64 re re))))) (-.f64 #s(literal 0 binary64) 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 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) im) im) (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal -1/8 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))) (+.f64 (/.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 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) im) im) (+.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal -1/8 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))) (+.f64 (/.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))

eval128.0ms (1.2%)

Compiler

Compiled 36826 to 2387 computations (93.5% saved)

prune158.0ms (1.5%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1018151033
Fresh000
Picked112
Done000
Total1019161035
Accuracy
99.9%
Counts
1035 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.4%
(/.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)))
49.5%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
22.7%
(/.f64 (-.f64 (log.f64 (hypot.f64 (*.f64 re (*.f64 re re)) (*.f64 im (*.f64 im im)))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im (*.f64 im (-.f64 (*.f64 im im) (*.f64 re re)))))))) (log.f64 base))
49.6%
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.2%
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶99.4%
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
45.9%
(/.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))))
✓99.5%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶45.6%
(/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
▶99.4%
(/.f64 (log.f64 im) (log.f64 base))
49.6%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
47.8%
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
49.5%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
▶49.6%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
▶49.6%
(*.f64 (log.f64 base) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
24.7%
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))) #s(literal -1 binary64)))
Compiler

Compiled 624 to 401 computations (35.7% saved)

simplify143.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f64 (hypot.f64 re im))
✓cost-diff128
(*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))
✓cost-diff12928
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
✓cost-diff12928
(/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
✓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 2 binary64)))
✓cost-diff0
(log.f64 base)
✓cost-diff12992
(*.f64 (log.f64 base) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
✓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))))
✓cost-diff0
(*.f64 #s(literal 1/2 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 1/2 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))
Rules
2046×fnmadd-define
1954×fma-lowering-fma.f32
1954×fma-lowering-fma.f64
1536×*-lowering-*.f32
1536×*-lowering-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027168
158164
2128164
3349164
4947164
51587164
63250164
75670164
08166164
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (log im) (log base))
(log im)
im
(log base)
base
(* (/ 1 (log base)) (* 1/2 (log (+ (* re re) (* im im)))))
(/ 1 (log base))
1
(log base)
base
(* 1/2 (log (+ (* re re) (* im im))))
1/2
(log (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(* re re)
re
(* im im)
im
(/ (log (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 base) (/ (* 1/2 (log (+ (* re re) (* im im)))) (pow (log base) 2)))
(log base)
base
(/ (* 1/2 (log (+ (* re re) (* im im)))) (pow (log base) 2))
(* 1/2 (log (+ (* re re) (* im im))))
1/2
(log (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(* re re)
re
(* im im)
im
(pow (log base) 2)
2
(/ (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1)))
(log (sqrt (+ (* re re) (* im im))))
(sqrt (+ (* re re) (* im im)))
re
im
(exp (* (log (log base)) 1))
(* (log (log base)) 1)
(log (log base))
(log base)
base
1
Outputs
(/ (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)) (* 1/2 (log (+ (* re re) (* im im)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
1
#s(literal 1 binary64)
(log base)
(log.f64 base)
base
(* 1/2 (log (+ (* re re) (* im im))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
1/2
#s(literal 1/2 binary64)
(log (+ (* re re) (* im im)))
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+ (* re re) (* im im))
(+.f64 (*.f64 re re) (*.f64 im im))
(* re re)
(*.f64 re re)
re
(* im im)
(*.f64 im im)
im
(/ (log (sqrt (+ (* re re) (* im im)))) (/ 1 (/ 1 (log base))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log (sqrt (+ (* re re) (* im im))))
(log.f64 (hypot.f64 im re))
(sqrt (+ (* re re) (* im im)))
(hypot.f64 im re)
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 base) (/ (* 1/2 (log (+ (* re re) (* im im)))) (pow (log base) 2)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(log base)
(log.f64 base)
base
(/ (* 1/2 (log (+ (* re re) (* im im)))) (pow (log base) 2))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(* 1/2 (log (+ (* re re) (* im im))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
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) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log (sqrt (+ (* re re) (* im im))))
(log.f64 (hypot.f64 im re))
(sqrt (+ (* re re) (* im im)))
(hypot.f64 im re)
re
im
(exp (* (log (log base)) 1))
(log.f64 base)
(* (log (log base)) 1)
(log.f64 (log.f64 base))
(log (log base))
(log.f64 (log.f64 base))
(log base)
(log.f64 base)
base
1
#s(literal 1 binary64)

localize195.0ms (1.8%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(log.f64 base)
✓accuracy99.9%
(log.f64 (log.f64 base))
✓accuracy99.8%
(/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
✓accuracy99.2%
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
✓accuracy99.8%
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓accuracy99.8%
(*.f64 (log.f64 base) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
✓accuracy99.6%
(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓accuracy76.9%
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
✓accuracy100.0%
(log.f64 base)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓accuracy99.8%
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓accuracy100.0%
(log.f64 base)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
✓accuracy76.9%
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
✓accuracy100.0%
(log.f64 im)
✓accuracy100.0%
(log.f64 base)
✓accuracy99.8%
(/.f64 (log.f64 im) (log.f64 base))
Results
86.0ms137×0invalid
61.0ms119×0valid
Compiler

Compiled 219 to 28 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 15.0ms (26.6% of total)
ival-log: 14.0ms (24.8% of total)
ival-div: 9.0ms (15.9% of total)
compiled-spec: 7.0ms (12.4% of total)
ival-exp: 3.0ms (5.3% of total)
ival-pow: 3.0ms (5.3% of total)
ival-add: 2.0ms (3.5% of total)
ival-sqrt: 2.0ms (3.5% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series210.0ms (2%)

Counts
18 → 396
Calls
Call 1
Inputs
#<alt (/ (log im) (log base))>
#<alt (log im)>
#<alt (log base)>
#<alt (* (/ 1 (log base)) (* 1/2 (log (+ (* re re) (* im im)))))>
#<alt (/ 1 (log base))>
#<alt (* 1/2 (log (+ (* re re) (* im im))))>
#<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 base) (/ (* 1/2 (log (+ (* re re) (* im im)))) (pow (log base) 2)))>
#<alt (/ (* 1/2 (log (+ (* re re) (* im im)))) (pow (log base) 2))>
#<alt (/ (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1)))>
#<alt (exp (* (log (log base)) 1))>
#<alt (* (log (log base)) 1)>
#<alt (log (+ (* re re) (* im im)))>
#<alt (pow (log base) 2)>
#<alt (log (log base))>
Outputs
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
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#<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 (* 1/2 (/ (log (pow im 2)) (pow (log base) 2)))>
#<alt (+ (* 1/2 (/ (log (pow im 2)) (pow (log base) 2))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))>
#<alt (+ (* 1/2 (/ (log (pow im 2)) (pow (log base) 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (pow (log base) 2)))) (* 1/2 (/ 1 (* (pow im 2) (pow (log base) 2)))))))>
#<alt (+ (* 1/2 (/ (log (pow im 2)) (pow (log base) 2))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log base) 2)))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log base) 2)))))))>
#<alt (* -1 (/ (log (/ 1 re)) (pow (log base) 2)))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (pow (log base) 2))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (pow (log base) 2))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 2)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2))))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (pow (log base) 2))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 2)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (pow (log base) 2)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))))))>
#<alt (* -1 (/ (log (/ -1 re)) (pow (log base) 2)))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (pow (log base) 2))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (pow (log base) 2))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 2)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2))))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (pow (log base) 2))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 2)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (pow (log base) 2)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))))))>
#<alt (* 1/2 (/ (log (pow re 2)) (pow (log base) 2)))>
#<alt (+ (* 1/2 (/ (log (pow re 2)) (pow (log base) 2))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))))>
#<alt (+ (* 1/2 (/ (log (pow re 2)) (pow (log base) 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (pow (log base) 2)))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 2)))))))>
#<alt (+ (* 1/2 (/ (log (pow re 2)) (pow (log base) 2))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log base) 2)))))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 2)))))))>
#<alt (* -1 (/ (log (/ 1 im)) (pow (log base) 2)))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (pow (log base) 2))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2))))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))))>
#<alt (* -1 (/ (log (/ -1 im)) (pow (log base) 2)))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (pow (log base) 2))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2))))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 2)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 2)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 2)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 2)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 2)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 2)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 2)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 2)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))>
#<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 (log base))>
#<alt (log (log base))>
#<alt (log (log base))>
#<alt (log (log base))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (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) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (log (log base))>
#<alt (log (log base))>
#<alt (log (log base))>
#<alt (log (log base))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
Calls

99 calls:

TimeVariablePointExpression
63.0ms
base
@-inf
(* (log (log base)) 1)
37.0ms
im
@0
(/ (log im) (log base))
21.0ms
base
@0
(* (/ 1 (log base)) (* 1/2 (log (+ (* re re) (* im im)))))
18.0ms
base
@inf
(* (log (log base)) 1)
16.0ms
base
@0
(* (log (log base)) 1)

rewrite296.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
2894×*-lowering-*.f32
2894×*-lowering-*.f64
1984×/-lowering-/.f32
1984×/-lowering-/.f64
1238×sum5-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027112
112078
271778
3529178
0826878
Stop Event
1×iter limit
1×node limit
Counts
18 → 1284
Calls
Call 1
Inputs
(/ (log im) (log base))
(log im)
(log base)
(* (/ 1 (log base)) (* 1/2 (log (+ (* re re) (* im im)))))
(/ 1 (log base))
(* 1/2 (log (+ (* re re) (* im im))))
(/ (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 base) (/ (* 1/2 (log (+ (* re re) (* im im)))) (pow (log base) 2)))
(/ (* 1/2 (log (+ (* re re) (* im im)))) (pow (log base) 2))
(/ (log (sqrt (+ (* re re) (* im im)))) (exp (* (log (log base)) 1)))
(exp (* (log (log base)) 1))
(* (log (log base)) 1)
(log (+ (* re re) (* im im)))
(pow (log base) 2)
(log (log base))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 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))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(/.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 (-.f64 #s(literal 0 binary64) (log.f64 im)) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))) #s(literal -1 binary64))
(/.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 im))) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) #s(literal -1 binary64)) (log.f64 base))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1 binary64))
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (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 (/.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 (-.f64 #s(literal 0 binary64) (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)))
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(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 re (*.f64 re (*.f64 re (*.f64 re (*.f64 re re))))) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im)))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re)))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im (*.f64 im (*.f64 im im)))))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 re re) (*.f64 im im)))))
(-.f64 (log.f64 (*.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (-.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 (-.f64 (*.f64 im im) (*.f64 re re))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re (*.f64 re (*.f64 re re))))) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re (*.f64 re (*.f64 re re))))) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))))) (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re (*.f64 re (*.f64 re re))))) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im)))))) (+.f64 (*.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))))) (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re)))))) (*.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re (*.f64 re (*.f64 re re))))) (*.f64 (*.f64 im (*.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)))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im (*.f64 im (*.f64 im im))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (*.f64 re re) (*.f64 im im))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (-.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im (*.f64 im (*.f64 im im))))) (log.f64 (-.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im (*.f64 im (*.f64 im im)))))) (+.f64 (*.f64 (log.f64 (-.f64 (*.f64 re re) (*.f64 im im))) (log.f64 (-.f64 (*.f64 re re) (*.f64 im im)))) (*.f64 (log.f64 (-.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im (*.f64 im (*.f64 im im))))) (log.f64 (-.f64 (*.f64 re re) (*.f64 im im)))))))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re (*.f64 re (*.f64 re re))))) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im))))) (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re (*.f64 re (*.f64 re re))))) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im)))))) (*.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))))) (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))))))) (log.f64 (*.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re (*.f64 re (*.f64 re re))))) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 im (*.f64 im im)))) (+.f64 (*.f64 re (*.f64 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 re re))) (*.f64 im (*.f64 im (*.f64 im im))))) (log.f64 (-.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im (*.f64 im (*.f64 im im)))))) (*.f64 (log.f64 (-.f64 (*.f64 re re) (*.f64 im im))) (log.f64 (-.f64 (*.f64 re re) (*.f64 im im))))) (log.f64 (*.f64 (-.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im (*.f64 im (*.f64 im im)))) (-.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 #s(literal 1 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 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 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))))
(pow.f64 (*.f64 (E.f64) (E.f64)) (log.f64 (log.f64 base)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(log.f64 (log.f64 base))
(+.f64 (log.f64 (log.f64 base)) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(+.f64 #s(literal 0 binary64) (log.f64 (log.f64 base)))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 1 binary64))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) (log.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(+.f64 (log.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))) (log.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))) (log.f64 (*.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (log.f64 base)))))
(+.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (log.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (log.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (log.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))
(+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 base))) (log.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))))
(+.f64 (log.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (log.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (log.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (log.f64 (pow.f64 (E.f64) (/.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) (log.f64 (pow.f64 (E.f64) (/.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))))
(+.f64 (log.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 base))) (log.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 base))))
(+.f64 (log.f64 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))) (log.f64 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))) (log.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))) (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(-.f64 (log.f64 (log.f64 base)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))
(-.f64 (log.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))) (log.f64 #s(literal -1 binary64)))
(-.f64 (+.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))
(fma.f64 #s(literal 1 binary64) (log.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (log.f64 (log.f64 base)) (log.f64 (E.f64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal -1 binary64) #s(literal 0 binary64))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (log.f64 (log.f64 base)) (log.f64 (log.f64 base))) (*.f64 #s(literal 0 binary64) (log.f64 (log.f64 base))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))) (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (log.f64 base)) (log.f64 (log.f64 base)))) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 #s(literal 1 binary64) (log.f64 (log.f64 base)))
(*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))
(*.f64 (log.f64 (log.f64 base)) (log.f64 (E.f64)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal -1 binary64))

simplify408.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
3736×*-lowering-*.f32
3736×*-lowering-*.f64
3476×+-lowering-+.f64
3476×+-lowering-+.f32
1988×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04826472
114645526
248105376
082835376
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
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)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(log im)
(log im)
(log im)
(log im)
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(log 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))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(* 1/2 (/ (log (pow im 2)) (log base)))
(+ (* 1/2 (/ (log (pow im 2)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
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(* -1 (/ (log (/ 1 im)) (pow (log base) 2)))
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 2))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2))))))
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))))
(* -1 (/ (log (/ -1 im)) (pow (log base) 2)))
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 2))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2))))))
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
(/ (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 (log base))
(log (log base))
(log (log base))
(log (log base))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (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) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(log (log base))
(log (log base))
(log (log base))
(log (log base))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
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))
(/.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.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 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)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) (log.f64 base)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) (log.f64 base)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) (log.f64 base)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) (log.f64 base)))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) (log.f64 base))))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) (log.f64 base))))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) (log.f64 base))))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) (log.f64 base))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* 1/2 (/ (log (pow im 2)) (log base)))
(*.f64 (log.f64 (*.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)))
(+ (* 1/2 (/ (log (pow im 2)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (log.f64 (*.f64 im im)) (log.f64 base)) (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 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)))))))
(+.f64 (*.f64 (log.f64 (*.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (*.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 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) (log.f64 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)))))))
(+.f64 (*.f64 (log.f64 (*.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (*.f64 (*.f64 re re) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) (log.f64 base)) (*.f64 (*.f64 re re) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (/.f64 re (pow.f64 im #s(literal 6 binary64))))) (log.f64 base)) (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (log.f64 base)))))))
(* -1 (/ (log (/ 1 re)) (log base)))
(/.f64 (log.f64 re) (log.f64 base))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re) (log.f64 base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re) (log.f64 base)) (/.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)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(+.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (*.f64 (*.f64 re re) (*.f64 re re))) (log.f64 base)) (/.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))) (log.f64 base))) (+.f64 (/.f64 (log.f64 re) (log.f64 base)) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re) (log.f64 base))))
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(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(log (log base))
(log.f64 (log.f64 base))
(log (log base))
(log.f64 (log.f64 base))
(log (log base))
(log.f64 (log.f64 base))
(log (log base))
(log.f64 (log.f64 base))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(log (pow im 2))
(log.f64 (*.f64 im im))
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))
(+.f64 (log.f64 (*.f64 im im)) (/.f64 (*.f64 re re) (*.f64 im im)))
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))
(+.f64 (log.f64 (*.f64 im im)) (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) (/.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))))))
(+ (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)))))
(+.f64 (log.f64 (*.f64 im im)) (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) (*.f64 re (*.f64 re (+.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/3 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))))))))
(* -2 (log (/ 1 re)))
(*.f64 #s(literal 2 binary64) (log.f64 re))
(+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))
(+.f64 (/.f64 (*.f64 im im) (*.f64 re re)) (*.f64 #s(literal 2 binary64) (log.f64 re)))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)) (+.f64 (/.f64 (*.f64 im im) (*.f64 re re)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (*.f64 (*.f64 re re) (*.f64 re re)))))
(+ (* -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)))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)) (+.f64 (/.f64 (*.f64 im im) (*.f64 re re)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (*.f64 (*.f64 re re) (*.f64 re re))) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/3 binary64)) (pow.f64 re #s(literal 6 binary64))))))
(* -2 (log (/ -1 re)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64))
(+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2)))
(+.f64 (/.f64 (*.f64 im im) (*.f64 re re)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64)))
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (*.f64 (*.f64 re re) (*.f64 re re))) (+.f64 (/.f64 (*.f64 im im) (*.f64 re re)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64))))
(+ (* -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)))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (*.f64 (*.f64 re re) (*.f64 re re))) (+.f64 (+.f64 (/.f64 (*.f64 im im) (*.f64 re re)) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/3 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64))))
(log (pow re 2))
(log.f64 (*.f64 re re))
(+ (log (pow re 2)) (/ (pow im 2) (pow re 2)))
(+.f64 (log.f64 (*.f64 re re)) (/.f64 (*.f64 im im) (*.f64 re re)))
(+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (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 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 (*.f64 re re) (*.f64 re re))))))
(+ (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 (*.f64 im im) #s(literal 1/3 binary64)) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 re re) (*.f64 re re))))))))
(* -2 (log (/ 1 im)))
(*.f64 (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 (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 (*.f64 re re) (*.f64 im im)) (*.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 re re) (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 im im))))
(+ (* -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 #s(literal -1/2 binary64) (*.f64 (*.f64 re re) (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 im im))) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (pow.f64 im #s(literal 6 binary64)))) (+.f64 (/.f64 (*.f64 re re) (*.f64 im im)) (*.f64 (log.f64 im) #s(literal 2 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) (*.f64 (*.f64 re re) (*.f64 re re))) (*.f64 (*.f64 im im) (*.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))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 re re) (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 im im))) (+.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))))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #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 base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(log (log base))
(log.f64 (log.f64 base))
(log (log base))
(log.f64 (log.f64 base))
(log (log base))
(log.f64 (log.f64 base))
(log (log base))
(log.f64 (log.f64 base))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))

eval346.0ms (3.2%)

Compiler

Compiled 51396 to 3555 computations (93.1% saved)

prune361.0ms (3.4%)

Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New2358182376
Fresh8210
Picked415
Done011
Total2370222392
Accuracy
100.0%
Counts
2392 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.4%
(/.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)))
99.2%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
▶99.2%
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.3%
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
99.2%
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
✓99.5%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
99.2%
(/.f64 (log.f64 im) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
▶99.3%
(/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
99.2%
(/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓99.4%
(/.f64 (log.f64 im) (log.f64 base))
45.6%
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
49.5%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
46.0%
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 im)))
▶49.6%
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
49.5%
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
15.6%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re (*.f64 re (*.f64 re re))))) (*.f64 (*.f64 im (*.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))))))))
49.6%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (/.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (+.f64 im re))) (log.f64 (+.f64 im re)))))
▶99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
49.5%
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
99.3%
(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
▶47.7%
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
Compiler

Compiled 744 to 495 computations (33.5% saved)

simplify249.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (log.f64 im) (log.f64 base))
✓cost-diff128
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
✓cost-diff192
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
✓cost-diff13312
(/.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))))
✓cost-diff0
(/.f64 (log.f64 base) (log.f64 im))
✓cost-diff0
(log.f64 (/.f64 (log.f64 base) (log.f64 im)))
✓cost-diff128
(*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))
✓cost-diff12928
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
✓cost-diff0
(log.f64 base)
✓cost-diff6336
(pow.f64 (log.f64 base) #s(literal -1 binary64))
✓cost-diff6464
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im 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))
✓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
4854×*-lowering-*.f32
4854×*-lowering-*.f64
1884×cube-prod
1784×fma-define
1658×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029132
160130
2114130
3219129
4655129
52228129
63890129
74326129
84844129
95564129
105877129
116823129
126981129
137106129
147275129
08105129
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 (log base)) (log im))
(/ 1 (log base))
1
(log base)
base
(log im)
im
(* (pow (log base) -1) (* 1/2 (log (+ (* re re) (* im im)))))
(pow (log base) -1)
(log base)
base
-1
(* 1/2 (log (+ (* re re) (* im im))))
1/2
(log (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(* re re)
re
(* im im)
im
(exp (* (log (/ (log base) (log im))) -1))
(* (log (/ (log base) (log im))) -1)
(log (/ (log base) (log im)))
(/ (log base) (log im))
(log base)
base
(log im)
im
-1
(/ (* (log im) (log base)) (+ (* (log base) (log base)) (* 0 0)))
(* (log im) (log base))
(log im)
im
(log base)
base
(+ (* (log base) (log base)) (* 0 0))
(* (log base) (log base))
(* 0 0)
0
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 (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
(* (pow (log base) -1) (* 1/2 (log (+ (* re re) (* im im)))))
(*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base)))
(pow (log base) -1)
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log base)
(log.f64 base)
base
-1
#s(literal -1 binary64)
(* 1/2 (log (+ (* re re) (* im im))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
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
(exp (* (log (/ (log base) (log im))) -1))
(/.f64 (log.f64 im) (log.f64 base))
(* (log (/ (log base) (log im))) -1)
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
(log (/ (log base) (log im)))
(log.f64 (/.f64 (log.f64 base) (log.f64 im)))
(/ (log base) (log im))
(/.f64 (log.f64 base) (log.f64 im))
(log base)
(log.f64 base)
base
(log im)
(log.f64 im)
im
-1
#s(literal -1 binary64)
(/ (* (log im) (log base)) (+ (* (log base) (log base)) (* 0 0)))
(/.f64 (log.f64 im) (log.f64 base))
(* (log im) (log base))
(*.f64 (log.f64 im) (log.f64 base))
(log im)
(log.f64 im)
im
(log base)
(log.f64 base)
base
(+ (* (log base) (log base)) (* 0 0))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(* (log base) (log base))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(* 0 0)
#s(literal 0 binary64)
0
#s(literal 0 binary64)

localize207.0ms (1.9%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(log.f64 base)
✓accuracy99.7%
(*.f64 (log.f64 im) (log.f64 base))
✓accuracy99.7%
(/.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))))
✓accuracy99.6%
(*.f64 (log.f64 base) (log.f64 base))
✓accuracy100.0%
(log.f64 base)
✓accuracy99.8%
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
✓accuracy99.8%
(/.f64 (log.f64 base) (log.f64 im))
✓accuracy99.4%
(log.f64 (/.f64 (log.f64 base) (log.f64 im)))
✓accuracy100.0%
(log.f64 base)
✓accuracy99.8%
(pow.f64 (log.f64 base) #s(literal -1 binary64))
✓accuracy99.7%
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
✓accuracy76.7%
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
✓accuracy100.0%
(log.f64 im)
✓accuracy100.0%
(log.f64 base)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
✓accuracy100.0%
(log.f64 base)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓accuracy99.7%
(/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
Results
81.0ms123×0valid
69.0ms133×0invalid
Compiler

Compiled 184 to 30 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 14.0ms (31% of total)
ival-log: 12.0ms (26.6% of total)
ival-div: 8.0ms (17.7% of total)
ival-pow: 6.0ms (13.3% of total)
ival-exp: 2.0ms (4.4% of total)
ival-add: 2.0ms (4.4% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

series130.0ms (1.2%)

Counts
19 → 360
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 (log base)) (log im))>
#<alt (log base)>
#<alt (* (pow (log base) -1) (* 1/2 (log (+ (* re re) (* im im)))))>
#<alt (pow (log base) -1)>
#<alt (* 1/2 (log (+ (* re re) (* im im))))>
#<alt (exp (* (log (/ (log base) (log im))) -1))>
#<alt (* (log (/ (log base) (log im))) -1)>
#<alt (log (/ (log base) (log im)))>
#<alt (/ (log base) (log im))>
#<alt (/ (* (log im) (log base)) (+ (* (log base) (log base)) (* 0 0)))>
#<alt (+ (* (log base) (log base)) (* 0 0))>
#<alt (* 0 0)>
#<alt (* (log im) (log base))>
#<alt (log (+ (* re re) (* im im)))>
#<alt (* (log base) (log base))>
Outputs
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (log 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 (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (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)>
#<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 (* 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 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 (/ (log base) (log im))))>
#<alt (* -1 (log (/ (log base) (log im))))>
#<alt (* -1 (log (/ (log base) (log im))))>
#<alt (* -1 (log (/ (log base) (log im))))>
#<alt (* -1 (log (* -1 (/ (log (/ 1 base)) (log im)))))>
#<alt (* -1 (log (* -1 (/ (log (/ 1 base)) (log im)))))>
#<alt (* -1 (log (* -1 (/ (log (/ 1 base)) (log im)))))>
#<alt (* -1 (log (* -1 (/ (log (/ 1 base)) (log im)))))>
#<alt (* -1 (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))))>
#<alt (* -1 (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))))>
#<alt (* -1 (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))))>
#<alt (* -1 (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))))>
#<alt (* -1 (log (/ (log base) (log im))))>
#<alt (* -1 (log (/ (log base) (log im))))>
#<alt (* -1 (log (/ (log base) (log im))))>
#<alt (* -1 (log (/ (log base) (log im))))>
#<alt (* -1 (log (* -1 (/ (log base) (log (/ 1 im))))))>
#<alt (* -1 (log (* -1 (/ (log base) (log (/ 1 im))))))>
#<alt (* -1 (log (* -1 (/ (log base) (log (/ 1 im))))))>
#<alt (* -1 (log (* -1 (/ (log base) (log (/ 1 im))))))>
#<alt (* -1 (log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))))>
#<alt (* -1 (log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))))>
#<alt (* -1 (log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))))>
#<alt (* -1 (log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))))>
#<alt (log (/ (log base) (log im)))>
#<alt (log (/ (log base) (log im)))>
#<alt (log (/ (log base) (log im)))>
#<alt (log (/ (log base) (log im)))>
#<alt (log (* -1 (/ (log (/ 1 base)) (log im))))>
#<alt (log (* -1 (/ (log (/ 1 base)) (log im))))>
#<alt (log (* -1 (/ (log (/ 1 base)) (log im))))>
#<alt (log (* -1 (/ (log (/ 1 base)) (log im))))>
#<alt (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im)))>
#<alt (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im)))>
#<alt (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im)))>
#<alt (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im)))>
#<alt (log (/ (log base) (log im)))>
#<alt (log (/ (log base) (log im)))>
#<alt (log (/ (log base) (log im)))>
#<alt (log (/ (log base) (log im)))>
#<alt (log (* -1 (/ (log base) (log (/ 1 im)))))>
#<alt (log (* -1 (/ (log base) (log (/ 1 im)))))>
#<alt (log (* -1 (/ (log base) (log (/ 1 im)))))>
#<alt (log (* -1 (/ (log base) (log (/ 1 im)))))>
#<alt (log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im))))))>
#<alt (log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im))))))>
#<alt (log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im))))))>
#<alt (log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im))))))>
#<alt (/ (log base) (log im))>
#<alt (/ (log base) (log im))>
#<alt (/ (log base) (log im))>
#<alt (/ (log base) (log im))>
#<alt (* -1 (/ (log (/ 1 base)) (log im)))>
#<alt (* -1 (/ (log (/ 1 base)) (log im)))>
#<alt (* -1 (/ (log (/ 1 base)) (log im)))>
#<alt (* -1 (/ (log (/ 1 base)) (log im)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))>
#<alt (/ (log base) (log im))>
#<alt (/ (log base) (log im))>
#<alt (/ (log base) (log im))>
#<alt (/ (log base) (log im))>
#<alt (* -1 (/ (log base) (log (/ 1 im))))>
#<alt (* -1 (/ (log base) (log (/ 1 im))))>
#<alt (* -1 (/ (log base) (log (/ 1 im))))>
#<alt (* -1 (/ (log base) (log (/ 1 im))))>
#<alt (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log 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 (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (* (log base) (log im))>
#<alt (* (log base) (log im))>
#<alt (* (log base) (log im))>
#<alt (* (log base) (log im))>
#<alt (* -1 (* (log base) (log (/ 1 im))))>
#<alt (* -1 (* (log base) (log (/ 1 im))))>
#<alt (* -1 (* (log base) (log (/ 1 im))))>
#<alt (* -1 (* (log base) (log (/ 1 im))))>
#<alt (* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (* (log base) (log im))>
#<alt (* (log base) (log im))>
#<alt (* (log base) (log im))>
#<alt (* (log base) (log im))>
#<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 (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) 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

90 calls:

TimeVariablePointExpression
47.0ms
base
@-inf
(* (log (/ (log base) (log im))) -1)
20.0ms
im
@-inf
(* (log (/ (log base) (log im))) -1)
18.0ms
base
@inf
(* (log (/ (log base) (log im))) -1)
18.0ms
base
@0
(* (log (/ (log base) (log im))) -1)
12.0ms
im
@inf
(* (log (/ (log base) (log im))) -1)

rewrite322.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
3580×*-lowering-*.f32
3580×*-lowering-*.f64
2454×/-lowering-/.f32
2454×/-lowering-/.f64
1316×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02989
113287
283986
3682286
0851886
Stop Event
1×iter limit
1×node limit
Counts
19 → 1391
Calls
Call 1
Inputs
(/ (log im) (/ 1 (/ 1 (log base))))
(/ 1 (/ 1 (log base)))
(log im)
(/ 1 (log base))
(* (/ 1 (log base)) (log im))
(log base)
(* (pow (log base) -1) (* 1/2 (log (+ (* re re) (* im im)))))
(pow (log base) -1)
(* 1/2 (log (+ (* re re) (* im im))))
(exp (* (log (/ (log base) (log im))) -1))
(* (log (/ (log base) (log im))) -1)
(log (/ (log base) (log im)))
(/ (log base) (log im))
(/ (* (log im) (log base)) (+ (* (log base) (log base)) (* 0 0)))
(+ (* (log base) (log base)) (* 0 0))
(* 0 0)
(* (log im) (log base))
(log (+ (* re re) (* im im)))
(* (log base) (log base))
Outputs
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -5 binary64))) #s(literal 0 binary64)))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64)))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 #s(literal 0 binary64) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -5 binary64)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(+.f64 (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -5 binary64))) #s(literal 0 binary64)) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64)) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -5 binary64)))) (/.f64 (log.f64 im) (log.f64 base)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 (log.f64 base) (log.f64 im)))))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 base))) (/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(neg.f64 (/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (log.f64 im))))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (log.f64 im))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (/.f64 (log.f64 im) (/.f64 #s(literal -1 binary64) (log.f64 base))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(/.f64 (/.f64 (log.f64 im) (log.f64 base)) #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 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 base))) #s(literal -1 binary64))
(/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -5 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(/.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(/.f64 (*.f64 (log.f64 im) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)))))
(/.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (*.f64 (/.f64 (log.f64 im) (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 2 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (/.f64 (log.f64 im) (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 0 binary64) (log.f64 im))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -5 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -5 binary64))) (pow.f64 (log.f64 base) #s(literal 12 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(/.f64 (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -5 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -5 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 base))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 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 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 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) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (/.f64 (/.f64 (log.f64 im) (/.f64 #s(literal -1 binary64) (log.f64 base))) (log.f64 base)) (-.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 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (log.f64 base) (log.f64 im))))
(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))
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (log.f64 base) (/.f64 (log.f64 im) (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) (log.f64 base)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(*.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (*.f64 (log.f64 im) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.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 (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 im)) (/.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 im)) (*.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (/.f64 (log.f64 im) (/.f64 #s(literal -1 binary64) (log.f64 base))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (log.f64 im)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -5 binary64))))
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(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -2 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 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 2 binary64)) #s(literal 1 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 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 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 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 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 -2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (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 (log.f64 base) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 base)))
(*.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 3 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.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 -5 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 (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 -4 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
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(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.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 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 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 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 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 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 2 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 base)))
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(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (log.f64 base) (-.f64 #s(literal 0 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 (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 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 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (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)))
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(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 base))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.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)))

simplify282.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
3928×*-lowering-*.f32
3928×*-lowering-*.f64
1838×+-lowering-+.f64
1838×+-lowering-+.f32
1696×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02873506
18483164
224283110
367923104
080893104
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
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)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(log base)
(log base)
(log base)
(log base)
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(log im)
(log im)
(log im)
(log im)
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
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(/ 1 (log base))
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(/ 1 (log base))
(/ -1 (log (/ 1 base)))
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(/ -1 (log (/ 1 base)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
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(* -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 base)
(log base)
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(* -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))))
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(+ (log -1) (* -1 (log (/ -1 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)))
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(* 1/2 (/ (log (pow im 2)) (log base)))
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(/ 1 (log base))
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(/ 1 (log base))
(/ -1 (log (/ 1 base)))
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(/ -1 (log (/ 1 base)))
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(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(* 1/2 (log (pow im 2)))
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(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(* -1 (log (/ (log base) (log im))))
(* -1 (log (/ (log base) (log im))))
(* -1 (log (/ (log base) (log im))))
(* -1 (log (/ (log base) (log im))))
(* -1 (log (* -1 (/ (log (/ 1 base)) (log im)))))
(* -1 (log (* -1 (/ (log (/ 1 base)) (log im)))))
(* -1 (log (* -1 (/ (log (/ 1 base)) (log im)))))
(* -1 (log (* -1 (/ (log (/ 1 base)) (log im)))))
(* -1 (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))))
(* -1 (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))))
(* -1 (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))))
(* -1 (log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))))
(* -1 (log (/ (log base) (log im))))
(* -1 (log (/ (log base) (log im))))
(* -1 (log (/ (log base) (log im))))
(* -1 (log (/ (log base) (log im))))
(* -1 (log (* -1 (/ (log base) (log (/ 1 im))))))
(* -1 (log (* -1 (/ (log base) (log (/ 1 im))))))
(* -1 (log (* -1 (/ (log base) (log (/ 1 im))))))
(* -1 (log (* -1 (/ (log base) (log (/ 1 im))))))
(* -1 (log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))))
(* -1 (log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))))
(* -1 (log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))))
(* -1 (log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))))
(log (/ (log base) (log im)))
(log (/ (log base) (log im)))
(log (/ (log base) (log im)))
(log (/ (log base) (log im)))
(log (* -1 (/ (log (/ 1 base)) (log im))))
(log (* -1 (/ (log (/ 1 base)) (log im))))
(log (* -1 (/ (log (/ 1 base)) (log im))))
(log (* -1 (/ (log (/ 1 base)) (log im))))
(log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im)))
(log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im)))
(log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im)))
(log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im)))
(log (/ (log base) (log im)))
(log (/ (log base) (log im)))
(log (/ (log base) (log im)))
(log (/ (log base) (log im)))
(log (* -1 (/ (log base) (log (/ 1 im)))))
(log (* -1 (/ (log base) (log (/ 1 im)))))
(log (* -1 (/ (log base) (log (/ 1 im)))))
(log (* -1 (/ (log base) (log (/ 1 im)))))
(log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im))))))
(log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im))))))
(log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im))))))
(log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im))))))
(/ (log base) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(* -1 (/ (log (/ 1 base)) (log im)))
(* -1 (/ (log (/ 1 base)) (log im)))
(* -1 (/ (log (/ 1 base)) (log im)))
(* -1 (/ (log (/ 1 base)) (log im)))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(* -1 (/ (log base) (log (/ 1 im))))
(* -1 (/ (log base) (log (/ 1 im))))
(* -1 (/ (log base) (log (/ 1 im))))
(* -1 (/ (log base) (log (/ 1 im))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (log base) (log im))
(* (log base) (log im))
(* (log base) (log im))
(* (log base) (log im))
(* -1 (* (log base) (log (/ 1 im))))
(* -1 (* (log base) (log (/ 1 im))))
(* -1 (* (log base) (log (/ 1 im))))
(* -1 (* (log base) (log (/ 1 im))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (log base) (log im))
(* (log base) (log im))
(* (log base) (log im))
(* (log base) (log im))
(* -1 (* (log im) (log (/ 1 base))))
(* -1 (* (log im) (log (/ 1 base))))
(* -1 (* (log im) (log (/ 1 base))))
(* -1 (* (log im) (log (/ 1 base))))
(* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(log (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) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
Outputs
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(log 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)))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #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 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.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)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) (log.f64 base)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) (log.f64 base)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) (log.f64 base)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) (log.f64 base)))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (*.f64 im im) (*.f64 re re))) (log.f64 base)))
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(+.f64 (log.f64 (*.f64 im im)) (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) (/.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 im (*.f64 im (*.f64 im im)))))))
(+ (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)))))
(+.f64 (log.f64 (*.f64 im im)) (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) (*.f64 re (*.f64 re (+.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/3 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im (*.f64 im im))))))))))
(* -2 (log (/ 1 re)))
(*.f64 #s(literal 2 binary64) (log.f64 re))
(+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))
(+.f64 (/.f64 (*.f64 im im) (*.f64 re re)) (*.f64 #s(literal 2 binary64) (log.f64 re)))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)) (*.f64 (*.f64 im im) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) (/.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 re (*.f64 re (*.f64 re re)))))))
(+ (* -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)))))
(+.f64 (*.f64 (*.f64 im im) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) (/.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 re (*.f64 re (*.f64 re re)))))) (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/3 binary64)) (pow.f64 re #s(literal 6 binary64)))))
(* -2 (log (/ -1 re)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64))
(+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2)))
(+.f64 (/.f64 (*.f64 im im) (*.f64 re re)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64)))
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+.f64 (*.f64 (*.f64 im im) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) (/.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 re (*.f64 re (*.f64 re re)))))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64)))
(+ (* -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)))))
(+.f64 (*.f64 (*.f64 im im) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) (/.f64 (*.f64 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 re (*.f64 re (*.f64 re re)))))) (+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64)) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/3 binary64)) (pow.f64 re #s(literal 6 binary64)))))
(log (pow re 2))
(log.f64 (*.f64 re re))
(+ (log (pow re 2)) (/ (pow im 2) (pow re 2)))
(+.f64 (log.f64 (*.f64 re re)) (/.f64 (*.f64 im im) (*.f64 re re)))
(+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (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 (*.f64 im im) #s(literal -1/2 binary64)) (*.f64 re (*.f64 re (*.f64 re re)))))))
(+ (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 (*.f64 im im) #s(literal 1/3 binary64)) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 re (*.f64 re (*.f64 re re)))))))))
(* -2 (log (/ 1 im)))
(*.f64 (log.f64 im) #s(literal 2 binary64))
(+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))
(+.f64 (/.f64 (/.f64 (*.f64 re re) im) im) (*.f64 (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 (log.f64 im) #s(literal 2 binary64)) (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) (/.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 im (*.f64 im (*.f64 im im)))))))
(+ (* -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 im) #s(literal 2 binary64)) (+.f64 (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) (/.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 im (*.f64 im (*.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 (/.f64 (*.f64 re re) 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 (/.f64 #s(literal 1 binary64) (*.f64 im im)) (/.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 im (*.f64 im (*.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))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(+.f64 (+.f64 (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) (/.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 im (*.f64 im (*.f64 im im)))))) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #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 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))

eval353.0ms (3.3%)

Compiler

Compiled 42070 to 4440 computations (89.4% saved)

prune348.0ms (3.2%)

Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New2475162491
Fresh8715
Picked325
Done022
Total2486272513
Accuracy
100.0%
Counts
2513 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.6%
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
99.1%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
99.1%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.2%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
99.3%
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
✓99.5%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓99.3%
(/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓99.4%
(/.f64 (log.f64 im) (log.f64 base))
45.6%
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
▶99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
49.5%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
47.0%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 im))
46.0%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im))
▶99.3%
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 im))
▶99.2%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 im) (log.f64 base)))
99.1%
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
99.2%
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 im))
99.1%
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base))) (log.f64 im))
99.3%
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 im))
15.6%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re (*.f64 re (*.f64 re re))))) (*.f64 (*.f64 im (*.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))))))))
49.6%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (/.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (+.f64 im re))) (log.f64 (+.f64 im re)))))
✓99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
▶79.0%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (exp.f64 (log.f64 (log.f64 im))))
45.6%
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (log.f64 base)))) (log.f64 im))
45.6%
(*.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) (log.f64 im))
47.7%
(exp.f64 (neg.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im)))))
▶47.7%
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
Compiler

Compiled 768 to 540 computations (29.7% saved)

simplify16.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (log.f64 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 (log.f64 im) (log.f64 base)))
✓cost-diff0
(log.f64 base)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓cost-diff12800
(exp.f64 (log.f64 (log.f64 im)))
✓cost-diff12928
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (exp.f64 (log.f64 (log.f64 im))))
✓cost-diff0
(log.f64 im)
✓cost-diff0
(/.f64 (log.f64 im) (log.f64 base))
✓cost-diff0
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
✓cost-diff12800
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓cost-diff0
(log.f64 im)
✓cost-diff0
(log.f64 base)
✓cost-diff0
(/.f64 (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-diff6336
(pow.f64 (log.f64 base) #s(literal -1 binary64))
✓cost-diff6464
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 im))
Rules
84×*-lowering-*.f32
84×*-lowering-*.f64
36×/-lowering-/.f32
36×/-lowering-/.f64
24×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021101
13295
24295
37195
47595
59595
611695
713195
815095
917195
1019495
1121695
1222495
022495
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (pow (log base) -1) (log im))
(pow (log base) -1)
(log base)
base
-1
(log im)
im
(/ 1 (/ (log base) (log im)))
1
(/ (log base) (log im))
(log base)
base
(log im)
im
(exp (log (/ (log im) (log base))))
(log (/ (log im) (log base)))
(/ (log im) (log base))
(log im)
im
(log base)
base
(* (/ 1 (log base)) (exp (log (log im))))
(/ 1 (log base))
1
(log base)
base
(exp (log (log im)))
(log (log im))
(log im)
im
(* (pow (log base) -2) (* (log im) (log base)))
(pow (log base) -2)
(log base)
base
-2
(* (log im) (log base))
(log im)
im
Outputs
(* (pow (log base) -1) (log im))
(/.f64 (log.f64 im) (log.f64 base))
(pow (log base) -1)
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log base)
(log.f64 base)
base
-1
#s(literal -1 binary64)
(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
(exp (log (/ (log im) (log base))))
(/.f64 (log.f64 im) (log.f64 base))
(log (/ (log im) (log base)))
(log.f64 (/.f64 (log.f64 im) (log.f64 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)) (exp (log (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
(exp (log (log im)))
(log.f64 im)
(log (log im))
(log.f64 (log.f64 im))
(log im)
(log.f64 im)
im
(* (pow (log base) -2) (* (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)
(* (log im) (log base))
(*.f64 (log.f64 base) (log.f64 im))
(log im)
(log.f64 im)
im

localize165.0ms (1.5%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(log.f64 base)
✓accuracy99.8%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 im) (log.f64 base)))
✓accuracy99.8%
(*.f64 (log.f64 im) (log.f64 base))
✓accuracy99.7%
(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓accuracy100.0%
(log.f64 (log.f64 im))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (exp.f64 (log.f64 (log.f64 im))))
✓accuracy99.3%
(exp.f64 (log.f64 (log.f64 im)))
✓accuracy100.0%
(log.f64 base)
✓accuracy99.9%
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
✓accuracy99.8%
(/.f64 (log.f64 im) (log.f64 base))
✓accuracy99.6%
(log.f64 (/.f64 (log.f64 im) (log.f64 base)))
✓accuracy100.0%
(log.f64 im)
✓accuracy100.0%
(log.f64 base)
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
✓accuracy99.8%
(/.f64 (log.f64 base) (log.f64 im))
✓accuracy100.0%
(log.f64 im)
✓accuracy100.0%
(log.f64 base)
✓accuracy99.8%
(pow.f64 (log.f64 base) #s(literal -1 binary64))
✓accuracy99.8%
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 im))
Results
80.0ms160×0invalid
51.0ms96×0valid
Compiler

Compiled 118 to 23 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-log: 16.0ms (32.9% of total)
ival-pow: 13.0ms (26.8% of total)
ival-div: 6.0ms (12.4% of total)
ival-exp: 6.0ms (12.4% of total)
ival-mult: 6.0ms (12.4% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series528.0ms (4.9%)

Counts
16 → 300
Calls
Call 1
Inputs
#<alt (* (pow (log base) -1) (log im))>
#<alt (pow (log base) -1)>
#<alt (log base)>
#<alt (log im)>
#<alt (/ 1 (/ (log base) (log im)))>
#<alt (/ (log base) (log im))>
#<alt (exp (log (/ (log im) (log base))))>
#<alt (log (/ (log im) (log base)))>
#<alt (/ (log im) (log base))>
#<alt (* (/ 1 (log base)) (exp (log (log im))))>
#<alt (exp (log (log im)))>
#<alt (/ 1 (log base))>
#<alt (* (pow (log base) -2) (* (log im) (log base)))>
#<alt (pow (log base) -2)>
#<alt (* (log im) (log base))>
#<alt (log (log 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 (/ (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 (/ (log im) (log base)))>
#<alt (log (/ (log im) (log base)))>
#<alt (log (/ (log im) (log base)))>
#<alt (log (/ (log im) (log base)))>
#<alt (log (* -1 (/ (log (/ 1 im)) (log base))))>
#<alt (log (* -1 (/ (log (/ 1 im)) (log base))))>
#<alt (log (* -1 (/ (log (/ 1 im)) (log base))))>
#<alt (log (* -1 (/ (log (/ 1 im)) (log base))))>
#<alt (log (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)))>
#<alt (log (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)))>
#<alt (log (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)))>
#<alt (log (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)))>
#<alt (log (/ (log im) (log base)))>
#<alt (log (/ (log im) (log base)))>
#<alt (log (/ (log im) (log base)))>
#<alt (log (/ (log im) (log base)))>
#<alt (log (* -1 (/ (log im) (log (/ 1 base)))))>
#<alt (log (* -1 (/ (log im) (log (/ 1 base)))))>
#<alt (log (* -1 (/ (log im) (log (/ 1 base)))))>
#<alt (log (* -1 (/ (log im) (log (/ 1 base)))))>
#<alt (log (/ (log im) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (log (/ (log im) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (log (/ (log im) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (log (/ (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 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 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 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 (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (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 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (* (log base) (log im))>
#<alt (* (log base) (log im))>
#<alt (* (log base) (log im))>
#<alt (* (log base) (log im))>
#<alt (* -1 (* (log base) (log (/ 1 im))))>
#<alt (* -1 (* (log base) (log (/ 1 im))))>
#<alt (* -1 (* (log base) (log (/ 1 im))))>
#<alt (* -1 (* (log base) (log (/ 1 im))))>
#<alt (* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (* (log base) (log im))>
#<alt (* (log base) (log im))>
#<alt (* (log base) (log im))>
#<alt (* (log base) (log im))>
#<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 (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

75 calls:

TimeVariablePointExpression
274.0ms
im
@-inf
(log (/ (log im) (log base)))
126.0ms
im
@0
(log (log im))
26.0ms
im
@inf
(log (log im))
21.0ms
im
@0
(log (/ (log im) (log base)))
19.0ms
base
@-inf
(log (/ (log im) (log base)))

rewrite178.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
760×*-lowering-*.f32
760×*-lowering-*.f64
472×/-lowering-/.f32
472×/-lowering-/.f64
194×frac-times
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02165
16465
229365
0156665
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
16 → 745
Calls
Call 1
Inputs
(* (pow (log base) -1) (log im))
(pow (log base) -1)
(log base)
(log im)
(/ 1 (/ (log base) (log im)))
(/ (log base) (log im))
(exp (log (/ (log im) (log base))))
(log (/ (log im) (log base)))
(/ (log im) (log base))
(* (/ 1 (log base)) (exp (log (log im))))
(exp (log (log im)))
(/ 1 (log base))
(* (pow (log base) -2) (* (log im) (log base)))
(pow (log base) -2)
(* (log im) (log base))
(log (log im))
Outputs
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (log.f64 base))))
(neg.f64 (*.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (/.f64 (log.f64 im) (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)) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (log.f64 base)) (log.f64 base))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))))
(/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)))) (exp.f64 (log.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 im))) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 im)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (log.f64 base)) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 (*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) base))) #s(literal -1 binary64))
(/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (log.f64 base))) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 im))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))) (log.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal -1 binary64)) (log.f64 (/.f64 (log.f64 base) (log.f64 im))))
(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (log.f64 base))))
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
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(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) base))) #s(literal -1 binary64))
(/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (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 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (log.f64 base)))
(*.f64 (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 #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 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 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 -1/4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.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 (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
(*.f64 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -3/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (log.f64 base))))
(neg.f64 (*.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (/.f64 (log.f64 im) (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)) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (log.f64 base)) (log.f64 base))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) im))))))
(/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)))) (exp.f64 (log.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 im))) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 im)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (log.f64 base)) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 (*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) base))) #s(literal -1 binary64))
(/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (log.f64 base))) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 im))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))) (log.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal -1 binary64)) (log.f64 (/.f64 (log.f64 base) (log.f64 im))))
(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (log.f64 base))))
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (log.f64 im)))
(*.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 im))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 (log.f64 base) (log.f64 im))))
(*.f64 (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))) #s(literal 1 binary64)))
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 1 binary64)))
(*.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) (log.f64 base)) #s(literal -1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/2 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 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (log.f64 base) (log.f64 im))))
(*.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 (log.f64 im) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 im))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(*.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (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 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (log.f64 base)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (*.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 base)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -1 binary64)) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (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 1 binary64) (log.f64 base))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 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 1 binary64) (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -1/4 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (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 (log.f64 base) (log.f64 im)) #s(literal 1 binary64))
(/.f64 (*.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) base))) #s(literal -1 binary64))
(/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 im)) #s(literal -1 binary64))
(*.f64 (log.f64 base) (log.f64 im))
(*.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 im)))
(*.f64 (*.f64 (log.f64 base) (log.f64 im)) #s(literal 1 binary64))
(log.f64 (log.f64 im))
(+.f64 (log.f64 (log.f64 im)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (log.f64 im)))

simplify175.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1846×sum5-define
1356×fnmadd-define
1350×fma-define
1284×sum4-define
1202×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0601944
11211832
22061832
34951832
415711832
539671832
674921832
080581832
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(log base)
(log base)
(log base)
(log base)
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(log im)
(log im)
(log im)
(log im)
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (log base) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(* -1 (/ (log (/ 1 base)) (log im)))
(* -1 (/ (log (/ 1 base)) (log im)))
(* -1 (/ (log (/ 1 base)) (log im)))
(* -1 (/ (log (/ 1 base)) (log im)))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(* -1 (/ (log base) (log (/ 1 im))))
(* -1 (/ (log base) (log (/ 1 im))))
(* -1 (/ (log base) (log (/ 1 im))))
(* -1 (/ (log base) (log (/ 1 im))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(log (/ (log im) (log base)))
(log (/ (log im) (log base)))
(log (/ (log im) (log base)))
(log (/ (log im) (log base)))
(log (* -1 (/ (log (/ 1 im)) (log base))))
(log (* -1 (/ (log (/ 1 im)) (log base))))
(log (* -1 (/ (log (/ 1 im)) (log base))))
(log (* -1 (/ (log (/ 1 im)) (log base))))
(log (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)))
(log (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)))
(log (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)))
(log (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)))
(log (/ (log im) (log base)))
(log (/ (log im) (log base)))
(log (/ (log im) (log base)))
(log (/ (log im) (log base)))
(log (* -1 (/ (log im) (log (/ 1 base)))))
(log (* -1 (/ (log im) (log (/ 1 base)))))
(log (* -1 (/ (log im) (log (/ 1 base)))))
(log (* -1 (/ (log im) (log (/ 1 base)))))
(log (/ (log im) (+ (log -1) (* -1 (log (/ -1 base))))))
(log (/ (log im) (+ (log -1) (* -1 (log (/ -1 base))))))
(log (/ (log im) (+ (log -1) (* -1 (log (/ -1 base))))))
(log (/ (log im) (+ (log -1) (* -1 (log (/ -1 base))))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(log im)
(log im)
(log im)
(log im)
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(* (log base) (log im))
(* (log base) (log im))
(* (log base) (log im))
(* (log base) (log im))
(* -1 (* (log base) (log (/ 1 im))))
(* -1 (* (log base) (log (/ 1 im))))
(* -1 (* (log base) (log (/ 1 im))))
(* -1 (* (log base) (log (/ 1 im))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (log base) (log im))
(* (log base) (log im))
(* (log base) (log im))
(* (log base) (log im))
(* -1 (* (log im) (log (/ 1 base))))
(* -1 (* (log im) (log (/ 1 base))))
(* -1 (* (log im) (log (/ 1 base))))
(* -1 (* (log im) (log (/ 1 base))))
(* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(log (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 im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
(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))
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(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(* -1 (* (log base) (log (/ 1 im))))
(*.f64 (log.f64 im) (log.f64 base))
(* -1 (* (log base) (log (/ 1 im))))
(*.f64 (log.f64 im) (log.f64 base))
(* -1 (* (log base) (log (/ 1 im))))
(*.f64 (log.f64 im) (log.f64 base))
(* -1 (* (log base) (log (/ 1 im))))
(*.f64 (log.f64 im) (log.f64 base))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(*.f64 (log.f64 base) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(*.f64 (log.f64 base) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(*.f64 (log.f64 base) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(*.f64 (log.f64 base) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(* (log base) (log im))
(*.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 (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)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))

eval191.0ms (1.8%)

Compiler

Compiled 15103 to 1354 computations (91% saved)

prune160.0ms (1.5%)

Pruning

28 alts after pruning (19 fresh and 9 done)

PrunedKeptTotal
New130121303
Fresh11718
Picked055
Done044
Total1302281330
Accuracy
100.0%
Counts
1330 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.6%
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
99.1%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
99.1%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.2%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
99.3%
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
✓99.5%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓99.3%
(/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓99.4%
(/.f64 (log.f64 im) (log.f64 base))
45.6%
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
✓99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
99.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
47.0%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 im))
46.0%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im))
✓99.3%
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 im))
✓99.2%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 im) (log.f64 base)))
99.1%
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
99.2%
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 im))
99.1%
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base))) (log.f64 im))
99.3%
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 im))
99.2%
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (log.f64 im) (log.f64 base)))
15.6%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re (*.f64 re (*.f64 re re))))) (*.f64 (*.f64 im (*.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))))))))
49.6%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (/.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (+.f64 im re))) (log.f64 (+.f64 im re)))))
✓99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
✓79.0%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (exp.f64 (log.f64 (log.f64 im))))
45.6%
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (log.f64 base)))) (log.f64 im))
45.6%
(*.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) (log.f64 im))
47.7%
(exp.f64 (neg.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im)))))
✓47.7%
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
Compiler

Compiled 1167 to 463 computations (60.3% saved)

regimes105.0ms (1%)

Counts
53 → 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 #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 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 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 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (*.f64 #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 1/2 binary64) (+.f64 (log.f64 (/.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (+.f64 im re))) (log.f64 (+.f64 im re)))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re (*.f64 re (*.f64 re re))))) (*.f64 (*.f64 im (*.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))))))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
(exp.f64 (neg.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) (log.f64 im))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (log.f64 base)))) (log.f64 im))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (exp.f64 (log.f64 (log.f64 im))))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 im))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 im))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 im))
(/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (log.f64 im) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base))) (log.f64 im))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))) #s(literal -1 binary64)))
(*.f64 (log.f64 base) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (log.f64 base) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 im)))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (-.f64 (log.f64 (hypot.f64 (*.f64 re (*.f64 re re)) (*.f64 im (*.f64 im im)))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im (*.f64 im (-.f64 (*.f64 im im) (*.f64 re re)))))))) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Calls

5 calls:

32.0ms
base
26.0ms
(/.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))))
16.0ms
re
14.0ms
(log.f64 base)
14.0ms
im
Results
AccuracySegmentsBranch
99.5%1re
99.5%1im
99.5%1base
99.5%1(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.5%1(log.f64 base)
Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes18.0ms (0.2%)

Accuracy

Total -32.1b remaining (-9072%)

Threshold costs -32.1b (-9072%)

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

4 calls:

7.0ms
base
4.0ms
im
4.0ms
(log.f64 base)
4.0ms
re
Results
AccuracySegmentsBranch
99.4%1re
99.4%1im
99.4%1base
99.4%1(log.f64 base)
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

soundness940.0ms (8.8%)

Rules
4572×*-lowering-*.f32
4572×*-lowering-*.f64
4444×*-lowering-*.f32
4444×*-lowering-*.f64
3660×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01812
13311
24211
3549
4637
5657
61187
73347
814477
924857
1037587
1140747
1245667
1353307
1464237
1578107
080177
03624474
111183758
238563658
081153658
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)

preprocess36.0ms (0.3%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 212 to 138 computations (34.9% saved)

end0.0ms (0%)

Profiling

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