math.log/2 on complex, real part

Time bar (total: 10.3s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze216.0ms (2.1%)

Memory
16.9MiB live, 430.3MiB allocated
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 30 to 17 computations (43.3% saved)

sample1.5s (14.7%)

Memory
-3.1MiB live, 7 240.5MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 811.0ms
ival-log: 222.0ms (27.4% of total)
ival-hypot: 175.0ms (21.6% of total)
ival-mult: 173.0ms (21.3% of total)
ival-add: 98.0ms (12.1% of total)
ival-atan2: 68.0ms (8.4% of total)
ival-div: 58.0ms (7.2% of total)
ival-true: 7.0ms (0.9% of total)
exact: 6.0ms (0.7% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

explain270.0ms (2.6%)

Memory
15.4MiB live, 1 786.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1450-1(5.945917315546523e-157 -2.4345749514533298e-175 2.197063082783809e+140)(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
00-0-(log.f64 base)
00-0-(*.f64 re re)
00-0-(atan2.f64 im re)
00-0-im
00-0-(+.f64 (*.f64 re re) (*.f64 im im))
00-0-re
00-0-(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
00-0-(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64)))
00-0-(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
00-0-#s(literal 0 binary64)
00-0-(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
00-0-(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
00-0-(*.f64 (log.f64 base) (log.f64 base))
00-0-(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
00-0-(*.f64 im im)
00-0-base
00-0-(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))oflow-rescue1210
↳(+.f64 (*.f64 re re) (*.f64 im im))overflow121
↳(*.f64 re re)overflow75
↳(*.f64 im im)overflow66
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))uflow-rescue230
↳(+.f64 (*.f64 re re) (*.f64 im im))underflow23
↳(*.f64 re re)underflow56
↳(*.f64 im im)underflow64
Confusion
Predicted +Predicted -
+1441
-0111
Precision
1.0
Recall
0.993103448275862
Confusion?
Predicted +Predicted MaybePredicted -
+14401
-00111
Precision?
1.0
Recall?
0.993103448275862
Freqs
test
numberfreq
0112
1144
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
92.0ms512×0valid
Compiler

Compiled 270 to 58 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 19.0ms (29% of total)
ival-log: 17.0ms (26% of total)
ival-hypot: 11.0ms (16.8% of total)
ival-add: 9.0ms (13.7% of total)
ival-atan2: 5.0ms (7.6% of total)
ival-div: 3.0ms (4.6% of total)
ival-true: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess220.0ms (2.1%)

Memory
-21.8MiB live, 421.6MiB allocated
Algorithm
1×egg-herbie
Rules
6 840×lower-*.f32
6 832×lower-*.f64
3 028×cube-prod
2 360×lower-/.f32
2 358×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076189
1144171
2238171
3459125
4851113
51590113
64794113
77463113
01826
03420
14318
24818
35814
46712
56812
612112
732512
8119812
9193412
10239512
11270112
12316912
13390412
14490912
15603512
16637612
17658312
18677812
19698512
084787
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Outputs
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
Symmetry

(abs im)

(abs re)

(sort re im)

Compiler

Compiled 28 to 18 computations (35.7% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶45.1%
(/.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))))
Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify168.0ms (1.6%)

Memory
-5.5MiB live, 102.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff192
(+.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-diff320
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
cost-diff6784
(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
cost-diff13440
(/.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))))
Rules
6 840×lower-*.f32
6 832×lower-*.f64
3 028×cube-prod
2 360×lower-/.f32
2 358×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018113
03499
14393
24893
35889
46787
56887
612187
732587
8119887
9193487
10239587
11270187
12316987
13390487
14490987
15603587
16637687
17658387
18677887
19698587
0847861
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+.f64 (*.f64 re re) (*.f64 im im))
(*.f64 re re)
re
(*.f64 im im)
im
(log.f64 base)
base
(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
(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 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
Outputs
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(+.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 (log.f64 base) (log.f64 (hypot.f64 im re)))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(log.f64 (hypot.f64 im re))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(hypot.f64 im re)
(+.f64 (*.f64 re re) (*.f64 im im))
(fma.f64 im im (*.f64 re re))
(*.f64 re re)
re
(*.f64 im im)
im
(log.f64 base)
base
(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
#s(literal 0 binary64)
(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 (log.f64 base) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

localize62.0ms (0.6%)

Memory
24.4MiB live, 68.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.33041000976844204
(/.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))))
accuracy0.34994125976844204
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
accuracy0.560878759768442
(*.f64 (log.f64 base) (log.f64 base))
accuracy33.53844899505977
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Samples
45.0ms256×0valid
Compiler

Compiled 121 to 20 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-add: 13.0ms (38.1% of total)
ival-mult: 7.0ms (20.5% of total)
ival-log: 6.0ms (17.6% of total)
ival-hypot: 4.0ms (11.7% of total)
ival-div: 2.0ms (5.9% of total)
ival-atan2: 2.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series117.0ms (1.1%)

Memory
-22.3MiB live, 129.5MiB allocated
Counts
7 → 168
Calls
Call 1
Inputs
#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())
#s(alt (*.f64 (atan2.f64 im re) #s(literal 0 binary64)) (patch (*.f64 (atan2.f64 im re) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (patch (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (+.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))) (patch (+.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))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 base) (log.f64 base)) (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())
Outputs
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (+.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))) (patch (+.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))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (+.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))) (patch (+.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))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (+.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))) (patch (+.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))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (+.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))) (patch (+.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))) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (*.f64 (log.f64 base) (log.f64 base)) (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (*.f64 (log.f64 base) (log.f64 base)) (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (*.f64 (log.f64 base) (log.f64 base)) (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (*.f64 (log.f64 base) (log.f64 base)) (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
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#s(alt 0 (taylor -inf im) (#s(alt (*.f64 (atan2.f64 im re) #s(literal 0 binary64)) (patch (*.f64 (atan2.f64 im re) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor -inf im) (#s(alt (*.f64 (atan2.f64 im re) #s(literal 0 binary64)) (patch (*.f64 (atan2.f64 im re) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (log base) (log (/ -1 im)))) (taylor -inf im) (#s(alt (+.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))) (patch (+.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) (taylor -inf im) (#s(alt (+.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))) (patch (+.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))) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf im) (#s(alt (+.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))) (patch (+.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))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor -inf im) (#s(alt (+.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))) (patch (+.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))) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (log base) (log (/ -1 im)))) (taylor -inf im) (#s(alt (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) (taylor -inf im) (#s(alt (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf im) (#s(alt (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(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)))))) (taylor -inf im) (#s(alt (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
57.0ms
base
@0
((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
23.0ms
base
@-inf
((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
14.0ms
base
@inf
((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
2.0ms
re
@0
((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
2.0ms
re
@inf
((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))

simplify505.0ms (4.9%)

Memory
-273.5MiB live, 210.9MiB allocated
Algorithm
1×egg-herbie
Rules
12 210×lower-fma.f64
12 210×lower-fma.f32
4 836×lower-*.f64
4 836×lower-*.f32
3 926×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02992912
18402860
226412828
363302818
080952516
Stop Event
1×iter limit
1×node limit
Counts
168 → 164
Calls
Call 1
Inputs
(/ (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))
(* (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)))))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 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))))
(* -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))))
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 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)))))
(* (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)))))
(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 (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 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)))
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))))))))
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)))))
(* (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 (/ 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)))))))
0
0
0
0
(* -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))))))
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 (* (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 (/ -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)))))))
0
0
0
0
(* -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 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))))))))
(* -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 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)))
0
0
0
0
(* (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))))))))
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)))))
(* (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 (/ 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)))))))
0
0
0
0
(* -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))))))
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 (* (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 (/ -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)))))))
0
0
0
0
(* -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 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))))))))
(* -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))))))
Outputs
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re 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))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(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))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 re im)) (-.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 re im)) (-.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 re im)) (-.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 re im)) (-.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 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (hypot.f64 re im)))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (hypot.f64 re im)))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (hypot.f64 re im)))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (hypot.f64 re im)))
(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 (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (hypot.f64 re im)))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (hypot.f64 re im)))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (hypot.f64 re im)))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (hypot.f64 re im)))
(/ (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)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) im)) (/.f64 (*.f64 re re) im) (/.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)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (log.f64 base) im)) (/.f64 re im) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.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)))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) re) (pow.f64 im #s(literal 6 binary64))) (/.f64 re (log.f64 base)) (/.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (log.f64 base))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) im)) (/.f64 (*.f64 re re) im) (/.f64 (log.f64 im) (log.f64 base))))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (log.f64 base) re) re) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (/.f64 (log.f64 base) im) (/.f64 #s(literal 1/2 binary64) im))) (*.f64 re re) (*.f64 (log.f64 im) (log.f64 base)))
(+ (* (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))))))))
(fma.f64 (fma.f64 (/.f64 (log.f64 base) im) (/.f64 #s(literal 1/2 binary64) im) (*.f64 (fma.f64 (*.f64 (*.f64 (log.f64 base) re) re) (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 (log.f64 base) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))))) (*.f64 re re))) (*.f64 re re) (*.f64 (log.f64 im) (log.f64 base)))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re re) im)
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) re) (/.f64 re (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) im)) (*.f64 re re) 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)))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) re) (/.f64 re (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re re) im))
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (log.f64 base) re) re) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (/.f64 (log.f64 base) im) (/.f64 #s(literal 1/2 binary64) im))) (*.f64 re re) (*.f64 (log.f64 im) (log.f64 base)))
(+ (* (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))))))))
(fma.f64 (fma.f64 (/.f64 (log.f64 base) im) (/.f64 #s(literal 1/2 binary64) im) (*.f64 (fma.f64 (*.f64 (*.f64 (log.f64 base) re) re) (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 (log.f64 base) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))))) (*.f64 re re))) (*.f64 re re) (*.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)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) re)) (/.f64 (*.f64 im im) re) (/.f64 (log.f64 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))))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 base) re)) (/.f64 im re) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 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)))))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 base) re)) (/.f64 im re) (fma.f64 (/.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal 120 binary64) (log.f64 base)) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 re) (log.f64 base)))))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* -1 (* (log base) (log (/ 1 re))))
(*.f64 (log.f64 re) (log.f64 base))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(fma.f64 (*.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (*.f64 im im) re) (*.f64 (log.f64 re) (log.f64 base)))
(+ (* -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)))))
(fma.f64 (log.f64 re) (log.f64 base) (fma.f64 (*.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (*.f64 im im) re) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))))))
(+ (* -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))))))
(fma.f64 (*.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (*.f64 im im) re) (fma.f64 (*.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64))) (*.f64 (log.f64 re) (log.f64 base)))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(fma.f64 (*.f64 (/.f64 (*.f64 im im) re) #s(literal 1/2 binary64)) #s(literal 1 binary64) re)
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) re) im) re) im #s(literal 1 binary64))) 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 (fma.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) re) im) re) im #s(literal 1 binary64)))) re)
(* -1 (* (log base) (log (/ 1 re))))
(*.f64 (log.f64 re) (log.f64 base))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(fma.f64 (*.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (*.f64 im im) re) (*.f64 (log.f64 re) (log.f64 base)))
(+ (* -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)))))
(fma.f64 (log.f64 re) (log.f64 base) (fma.f64 (*.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (*.f64 im im) re) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))))))
(+ (* -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))))))
(fma.f64 (*.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (*.f64 im im) re) (fma.f64 (*.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64))) (*.f64 (log.f64 re) (log.f64 base)))))
(* -1 (/ (log (/ -1 re)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
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(fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (fma.f64 (*.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))))
(* -1 im)
(neg.f64 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) #s(literal 1 binary64) im))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(*.f64 (neg.f64 im) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 re re) im) im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(* -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 (neg.f64 im) (fma.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 re re) im) im) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(* -1 (* (log base) (log (/ -1 im))))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))
(+ (* -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)))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))))
(+ (* -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))))))
(fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (fma.f64 (*.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))))

rewrite195.0ms (1.9%)

Memory
16.6MiB live, 241.9MiB allocated
Rules
5 018×lower-fma.f64
5 018×lower-fma.f32
3 884×lower-*.f32
3 876×lower-*.f64
2 884×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01875
03461
19955
268855
3619955
0822235
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 1 492
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(+.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)))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
Outputs
(*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))) (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))))
(*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re))))
(*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 6 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 4 binary64)))
(*.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
(*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (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 (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (log.f64 base)) (log.f64 base))
(*.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base))
(*.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (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 -2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (log.f64 (hypot.f64 im re)) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))))
(*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))))
(*.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #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 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (log.f64 (hypot.f64 im re)) (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 2 binary64))) (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (hypot.f64 im re))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re)))) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (hypot.f64 im re))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #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 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) (log.f64 base)) (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal -2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re)))))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re))))
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(fma.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re))) (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (*.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 im re)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (/.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (log.f64 (hypot.f64 im re)) #s(literal 0 binary64))
(fma.f64 (log.f64 (hypot.f64 im re)) (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal 0 binary64))
(fma.f64 (log.f64 (hypot.f64 im re)) (*.f64 (log.f64 base) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (log.f64 (hypot.f64 im re)) (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) #s(literal 0 binary64))
(fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64))
(-.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(-.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))))
(+.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))

eval254.0ms (2.5%)

Memory
-0.8MiB live, 393.4MiB allocated
Compiler

Compiled 54 027 to 3 323 computations (93.8% saved)

prune84.0ms (0.8%)

Memory
15.2MiB live, 137.5MiB allocated
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New1 631251 656
Fresh000
Picked101
Done000
Total1 632251 657
Accuracy
100.0%
Counts
1 657 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re))))
99.3%
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (log.f64 base)) (log.f64 base))
▶99.0%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
44.7%
(/.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im im (*.f64 re re)))))) (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))))
99.1%
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.1%
(/.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (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)))
▶91.5%
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
98.1%
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (log.f64 base))))
99.1%
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))))
98.8%
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
99.1%
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
99.2%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
99.1%
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))))
98.9%
(*.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #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 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
99.1%
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
99.1%
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
99.3%
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base))))
99.2%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base))
99.3%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re)))
▶99.2%
(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
99.3%
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
▶99.4%
#s(approx (/ (+ (* (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)))
▶98.3%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
Compiler

Compiled 808 to 618 computations (23.5% saved)

simplify206.0ms (2%)

Memory
21.5MiB live, 132.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff256
(*.f64 (log.f64 base) (log.f64 base))
cost-diff320
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
cost-diff7552
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re))))
cost-diff13184
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
cost-diff256
(*.f64 (log.f64 base) (log.f64 base))
cost-diff320
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
cost-diff384
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.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-diff6720
(fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base)))
cost-diff0
(hypot.f64 im re)
cost-diff0
(log.f64 (hypot.f64 im re))
cost-diff6080
(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
cost-diff7104
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
cost-diff0
(log.f64 base)
cost-diff0
(log.f64 im)
cost-diff0
(/.f64 (log.f64 im) (log.f64 base))
cost-diff0
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (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))
cost-diff0
#s(approx (/ (+ (* (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)))
Rules
6 614×lower-*.f32
6 604×lower-*.f64
2 248×cube-prod
2 074×lower-/.f32
2 056×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050325
080278
1115266
2178250
3387244
41098244
52720244
62978244
73134244
83390244
93729244
104187244
115670244
126282244
136537244
146835244
156941244
167047244
177496244
08249241
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (* (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)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(log.f64 base)
base
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(log.f64 base)
base
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base))))
(fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64))
(/.f64 (log.f64 base) im)
(log.f64 base)
base
im
#s(literal 1/2 binary64)
(/.f64 (*.f64 re re) im)
(*.f64 re re)
re
(*.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re))))
#s(literal 1 binary64)
(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(log.f64 base)
base
#s(literal -1 binary64)
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
#s(approx (/ (+ (* (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)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(hypot.f64 re im)
(hypot.f64 im re)
re
im
(log.f64 base)
base
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(log.f64 base)
base
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 re re) im) im) #s(literal 1/2 binary64) (log.f64 im)) (log.f64 base))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 re re) im) im) #s(literal 1/2 binary64) (log.f64 im)) (log.f64 base)))
(fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base)))
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 re re) im) im) #s(literal 1/2 binary64) (log.f64 im)) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) im))
(/.f64 (log.f64 base) im)
(log.f64 base)
base
im
#s(literal 1/2 binary64)
(/.f64 (*.f64 re re) im)
(*.f64 re re)
re
(*.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re))))
(*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
#s(literal 1 binary64)
(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(log.f64 base)
base
#s(literal -1 binary64)
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)

localize184.0ms (1.8%)

Memory
3.4MiB live, 278.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.28515625
(pow.f64 (log.f64 base) #s(literal -1 binary64))
accuracy0.33041000976844204
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
accuracy0.43197250976844204
(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))
accuracy0.560878759768442
(*.f64 (log.f64 base) (log.f64 base))
accuracy0.34994125976844204
(*.f64 (log.f64 im) (log.f64 base))
accuracy0.3907015075030693
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base))))
accuracy0.560878759768442
(*.f64 (log.f64 base) (log.f64 base))
accuracy10.154507269403501
(/.f64 (*.f64 re re) im)
accuracy0
(log.f64 base)
accuracy0.3600387695368841
(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
accuracy0.40919877930532605
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy0.560878759768442
(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy0
(log.f64 im)
accuracy0
(log.f64 base)
accuracy0.39291000976844204
(/.f64 (log.f64 im) (log.f64 base))
accuracy0.7337513961492246
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
accuracy0
(log.f64 (hypot.f64 re im))
accuracy0
(log.f64 base)
accuracy0
#s(approx (/ (+ (* (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)))
accuracy0.39291000976844204
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Samples
149.0ms256×0valid
Compiler

Compiled 369 to 40 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-mult: 37.0ms (36.1% of total)
ival-div: 16.0ms (15.6% of total)
ival-log: 14.0ms (13.7% of total)
ival-hypot: 10.0ms (9.8% of total)
ival-pow2: 10.0ms (9.8% of total)
ival-pow: 8.0ms (7.8% of total)
ival-add: 4.0ms (3.9% of total)
ival-atan2: 2.0ms (2% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series267.0ms (2.6%)

Memory
-34.3MiB live, 374.0MiB allocated
Counts
24 → 600
Calls
Call 1
Inputs
#s(alt #s(approx (/ (+ (* (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))) (patch #s(approx (/ (+ (* (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))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())
#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())
#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 im) (log.f64 base)) (patch (/.f64 (log.f64 im) (log.f64 base)) #<representation binary64>) () ())
#s(alt (log.f64 im) (patch (log.f64 im) #<representation binary64>) () ())
#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (patch (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (patch (*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())
#s(alt (hypot.f64 im re) (patch (hypot.f64 im re) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base))) (patch (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (patch (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 base) (log.f64 base)) (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 re re) im) (patch (/.f64 (*.f64 re re) im) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base)))) (patch #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base)))) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 im) (log.f64 base)) (patch (*.f64 (log.f64 im) (log.f64 base)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal -1 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt #s(approx (/ (+ (* (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))) (patch #s(approx (/ (+ (* (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))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt #s(approx (/ (+ (* (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))) (patch #s(approx (/ (+ (* (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))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt #s(approx (/ (+ (* (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))) (patch #s(approx (/ (+ (* (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))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt #s(approx (/ (+ (* (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))) (patch #s(approx (/ (+ (* (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))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log base)) (taylor 0 base) (#s(alt (/.f64 (log.f64 im) (log.f64 base)) (patch (/.f64 (log.f64 im) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log base)) (taylor 0 base) (#s(alt (/.f64 (log.f64 im) (log.f64 base)) (patch (/.f64 (log.f64 im) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log base)) (taylor 0 base) (#s(alt (/.f64 (log.f64 im) (log.f64 base)) (patch (/.f64 (log.f64 im) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log base)) (taylor 0 base) (#s(alt (/.f64 (log.f64 im) (log.f64 base)) (patch (/.f64 (log.f64 im) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (/ 1 (log base)) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (patch (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (log base)) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (patch (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (log base)) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (patch (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (log base)) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (patch (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (patch (*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (patch (*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (patch (*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (patch (*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im))) (taylor 0 base) (#s(alt (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base))) (patch (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im))) (taylor 0 base) (#s(alt (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base))) (patch (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im))) (taylor 0 base) (#s(alt (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base))) (patch (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base))) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
54.0ms
base
@0
((/ (+ (* (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)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (+ (* (* (/ (log base) im) 1/2) (/ (* re re) im)) (* (log im) (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* 0 0) (* (log base) (log base)) (/ (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (+ (* (log base) (log base)) (* 0 0))) (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) 2) (/ (* re re) im) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log im) (log base)) (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -1))
28.0ms
base
@inf
((/ (+ (* (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)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (+ (* (* (/ (log base) im) 1/2) (/ (* re re) im)) (* (log im) (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* 0 0) (* (log base) (log base)) (/ (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (+ (* (log base) (log base)) (* 0 0))) (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) 2) (/ (* re re) im) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log im) (log base)) (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -1))
26.0ms
base
@-inf
((/ (+ (* (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)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (+ (* (* (/ (log base) im) 1/2) (/ (* re re) im)) (* (log im) (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* 0 0) (* (log base) (log base)) (/ (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (+ (* (log base) (log base)) (* 0 0))) (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) 2) (/ (* re re) im) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log im) (log base)) (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -1))
21.0ms
im
@0
((/ (+ (* (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)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (+ (* (* (/ (log base) im) 1/2) (/ (* re re) im)) (* (log im) (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* 0 0) (* (log base) (log base)) (/ (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (+ (* (log base) (log base)) (* 0 0))) (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) 2) (/ (* re re) im) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log im) (log base)) (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -1))
18.0ms
im
@inf
((/ (+ (* (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)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (+ (* (* (/ (log base) im) 1/2) (/ (* re re) im)) (* (log im) (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* 0 0) (* (log base) (log base)) (/ (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (+ (* (log base) (log base)) (* 0 0))) (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) 2) (/ (* re re) im) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log im) (log base)) (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) -1))

simplify303.0ms (2.9%)

Memory
22.4MiB live, 178.2MiB allocated
Algorithm
1×egg-herbie
Rules
7 202×lower-fma.f64
7 202×lower-fma.f32
6 390×lower-*.f64
6 390×lower-*.f32
2 664×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063311327
1183310989
2629510977
0813710009
Stop Event
1×iter limit
1×node limit
Counts
600 → 592
Calls
Call 1
Inputs
(/ (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))
(/ (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))
(/ (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))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(log base)
(log base)
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(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
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(/ (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))
(pow (log base) 2)
(pow (log base) 2)
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(pow (log base) 2)
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(/ 1 (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))))
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(/ 1 (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))))
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(pow (log (/ 1 base)) 2)
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(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
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im
(+ im (* 1/2 (/ (pow re 2) im)))
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im
(+ im (* 1/2 (/ (pow re 2) im)))
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(/ (pow re 2) im)
(/ (pow re 2) im)
(/ (pow re 2) im)
(/ (pow re 2) im)
(* (log base) (log im))
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(/ 1 (* (log base) (log im)))
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im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
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im
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(/ (pow re 2) im)
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(* -1 im)
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(* -1 im)
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(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
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(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ -1 (* (log base) (log (/ -1 im))))
(- (* -1/2 (/ (pow re 2) (* (pow im 2) (* (log base) (pow (log (/ -1 im)) 2))))) (/ 1 (* (log base) (log (/ -1 im)))))
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(- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (* (log base) (pow (log (/ -1 im)) 3)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (log base) (pow (log (/ -1 im)) 2)))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (* (log base) (pow (log (/ -1 im)) 2)))) (* 1/4 (/ (pow re 4) (* (log base) (pow (log (/ -1 im)) 3)))))) (log (/ -1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (* (log base) (pow (log (/ -1 im)) 2))))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (* (log base) (pow (log (/ -1 im)) 3))))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (* (log base) (pow (log (/ -1 im)) 2))))) (/ 1 (* (log base) (log (/ -1 im))))))))
Outputs
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(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
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(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
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(/ (log im) (log base))
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(/ (log im) (log base))
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(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
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(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
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(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
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(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(fma.f64 (*.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) (/.f64 (log.f64 base) im) (*.f64 (log.f64 im) (log.f64 base)))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
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(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
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(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
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(* -1 (* (log base) (log (/ -1 im))))
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(/ (pow re 2) im)
(/.f64 (*.f64 re re) im)
(/ (pow re 2) im)
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(/ (pow re 2) im)
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(/ (pow re 2) im)
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(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
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(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
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rewrite190.0ms (1.8%)

Memory
16.9MiB live, 286.4MiB allocated
Rules
3 984×lower-*.f32
3 974×lower-*.f64
3 928×lower-/.f32
3 910×lower-/.f64
3 208×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050255
080215
1260203
21581187
08490187
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 1 493
Calls
Call 1
Inputs
#s(approx (/ (+ (* (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)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
(log.f64 base)
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
(fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base)))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(*.f64 (log.f64 base) (log.f64 base))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re))))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(/.f64 (*.f64 re re) im)
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base))))
(*.f64 (log.f64 im) (log.f64 base))
(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (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 -1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 im re)))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 im re)))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))))
(*.f64 (/.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (log.f64 (hypot.f64 im re)) (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 2 binary64))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (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 -4 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))))
(*.f64 (/.f64 (neg.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 3 binary64)) (*.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) (log.f64 (hypot.f64 im re)))) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 3 binary64)) (*.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (hypot.f64 im re))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #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 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (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)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 3 binary64)) (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #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 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re))))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 1/2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 1/2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 2 binary64)) (neg.f64 (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (neg.f64 (log.f64 (hypot.f64 im re)))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re)))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (hypot.f64 im re))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 3 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 (hypot.f64 im re)) (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 3 binary64)) (log.f64 base)) (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal -2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (/.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal -2 binary64)))
(*.f64 (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))))
(*.f64 (*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (/.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -5 binary64)) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
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(exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 (log.f64 base))))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (neg.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
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eval597.0ms (5.8%)

Memory
0.6MiB live, 737.2MiB allocated
Compiler

Compiled 78 410 to 6 662 computations (91.5% saved)

prune199.0ms (1.9%)

Memory
33.5MiB live, 346.9MiB allocated
Pruning

27 alts after pruning (25 fresh and 2 done)

PrunedKeptTotal
New2 959222 981
Fresh17320
Picked325
Done000
Total2 979273 006
Accuracy
100.0%
Counts
3 006 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.0%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
98.1%
(/.f64 #s(approx (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (*.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 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
99.2%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
99.1%
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
99.2%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base))
99.3%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re)))
49.5%
(*.f64 (log.f64 (hypot.f64 im re)) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
98.1%
(*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
45.2%
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base)))
51.9%
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)))
99.3%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) (log.f64 base)))
✓99.4%
#s(approx (/ (+ (* (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)))
44.8%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im im (*.f64 re re)))))) (log.f64 base)))
49.9%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64))))
49.8%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 2 binary64))))
49.9%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
98.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal -5 binary64)))))
98.1%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64)))))
▶98.1%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
✓98.3%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
▶49.5%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
76.3%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) #s(literal -1 binary64))) (log.f64 base)))
98.2%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
49.8%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))))
▶98.2%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
51.7%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))))
Compiler

Compiled 614 to 567 computations (7.7% saved)

simplify181.0ms (1.8%)

Memory
-29.9MiB live, 69.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 im)
cost-diff0
(/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
cost-diff0
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
cost-diff19648
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
cost-diff192
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
cost-diff256
(*.f64 (log.f64 base) (log.f64 base))
cost-diff320
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
cost-diff704
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (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
(log.f64 im)
cost-diff0
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
cost-diff0
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
cost-diff12800
(exp.f64 (log.f64 (log.f64 base)))
cost-diff0
(log.f64 im)
cost-diff0
(neg.f64 (log.f64 im))
cost-diff0
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
cost-diff448
(*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
cost-diff0
(log.f64 (hypot.f64 im re))
cost-diff0
(log.f64 base)
cost-diff0
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
Rules
2 748×lower-*.f32
2 742×lower-*.f64
2 536×lower-fma.f64
2 536×lower-fma.f32
1 544×lower-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
054311
080259
1111247
2168233
3288214
4811210
53127210
66327210
08290210
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
#s(literal 1 binary64)
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(log.f64 base)
base
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(neg.f64 (log.f64 im))
(log.f64 im)
im
(/.f64 #s(literal -1 binary64) (log.f64 base))
#s(literal -1 binary64)
(log.f64 base)
base
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
(log.f64 im)
im
(exp.f64 (log.f64 (log.f64 base)))
(log.f64 (log.f64 base))
(log.f64 base)
base
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))))
#s(literal 1 binary64)
#s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(log.f64 im)
im
(log.f64 base)
base
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(log.f64 im)
im
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(log.f64 base)
base
#s(literal 3 binary64)
(pow.f64 (log.f64 base) #s(literal -2 binary64))
#s(literal -2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
#s(literal 1 binary64)
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(log.f64 base)
base
(log.f64 (hypot.f64 im re))
(log.f64 (hypot.f64 re im))
(hypot.f64 im re)
(hypot.f64 re im)
im
re
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (log.f64 im))
(log.f64 im)
im
(/.f64 #s(literal -1 binary64) (log.f64 base))
#s(literal -1 binary64)
(log.f64 base)
base
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(exp.f64 (log.f64 (log.f64 base)))
(log.f64 base)
(log.f64 (log.f64 base))
(log.f64 base)
base
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))))
#s(literal 1 binary64)
#s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(log.f64 im)
im
(log.f64 base)
base
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(log.f64 base)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(log.f64 base)
base
#s(literal 3 binary64)
(pow.f64 (log.f64 base) #s(literal -2 binary64))
#s(literal -2 binary64)

localize139.0ms (1.4%)

Memory
-9.8MiB live, 307.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1875
(/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
accuracy0.19921875
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
accuracy0.27476503907376804
(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy0.36630639652663033
(pow.f64 (log.f64 base) #s(literal 3 binary64))
accuracy0.1796875
(/.f64 #s(literal 1 binary64) (log.f64 im))
accuracy0.1875
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))
accuracy0.18978500976844204
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
accuracy0.29296875
(*.f64 (log.f64 base) (log.f64 base))
accuracy0.0078125
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
accuracy0.03515625
(log.f64 (log.f64 base))
accuracy0.1875
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
accuracy0.596270471200545
(exp.f64 (log.f64 (log.f64 base)))
accuracy0
(log.f64 base)
accuracy0.0078125
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
accuracy0.14453125
(/.f64 #s(literal -1 binary64) (log.f64 base))
accuracy0.17416000976844204
(*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
accuracy0
(log.f64 (hypot.f64 im re))
accuracy0
(log.f64 base)
accuracy0.12109375
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
accuracy0.1953125
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
Samples
60.0ms127×0invalid
47.0ms129×0valid
Compiler

Compiled 306 to 42 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-div: 24.0ms (31.6% of total)
ival-log: 14.0ms (18.4% of total)
ival-pow: 12.0ms (15.8% of total)
ival-hypot: 10.0ms (13.1% of total)
ival-mult: 7.0ms (9.2% of total)
ival-exp: 2.0ms (2.6% of total)
ival-add: 2.0ms (2.6% of total)
ival-atan2: 2.0ms (2.6% of total)
exact: 1.0ms (1.3% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series439.0ms (4.3%)

Memory
-1.2MiB live, 393.9MiB allocated
Counts
24 → 480
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (patch (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())
#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())
#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))) (patch (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 im)) (patch (neg.f64 (log.f64 im)) #<representation binary64>) () ())
#s(alt (log.f64 im) (patch (log.f64 im) #<representation binary64>) () ())
#s(alt (exp.f64 (log.f64 (log.f64 base))) (patch (exp.f64 (log.f64 (log.f64 base))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))) (patch (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (patch (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 base) (log.f64 base)) (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (patch (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (patch (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (patch (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (log.f64 base)) (patch (/.f64 #s(literal -1 binary64) (log.f64 base)) #<representation binary64>) () ())
#s(alt (log.f64 (log.f64 base)) (patch (log.f64 (log.f64 base)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal -2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (patch (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (patch (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (patch (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (patch (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log base)) (taylor 0 base) (#s(alt (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))) (patch (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log base)) (taylor 0 base) (#s(alt (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))) (patch (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log base)) (taylor 0 base) (#s(alt (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))) (patch (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log base)) (taylor 0 base) (#s(alt (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))) (patch (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (exp.f64 (log.f64 (log.f64 base))) (patch (exp.f64 (log.f64 (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (exp.f64 (log.f64 (log.f64 base))) (patch (exp.f64 (log.f64 (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (exp.f64 (log.f64 (log.f64 base))) (patch (exp.f64 (log.f64 (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (exp.f64 (log.f64 (log.f64 base))) (patch (exp.f64 (log.f64 (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log base)) (taylor 0 base) (#s(alt (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))) (patch (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log base)) (taylor 0 base) (#s(alt (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))) (patch (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log base)) (taylor 0 base) (#s(alt (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))) (patch (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log base)) (taylor 0 base) (#s(alt (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))) (patch (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (*.f64 (log.f64 base) (log.f64 base)) (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (*.f64 (log.f64 base) (log.f64 base)) (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (*.f64 (log.f64 base) (log.f64 base)) (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (*.f64 (log.f64 base) (log.f64 base)) (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (patch (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (patch (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (patch (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (patch (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (patch (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (patch (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (log -1) (* -1 (log (/ -1 im)))) (taylor -inf im) (#s(alt (log.f64 im) (patch (log.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 im)))) (taylor -inf im) (#s(alt (log.f64 im) (patch (log.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 im)))) (taylor -inf im) (#s(alt (log.f64 im) (patch (log.f64 im) #<representation binary64>) () ())) ())
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#s(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)))))) (taylor -inf im) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf im) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) (taylor -inf im) (#s(alt (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))) (patch (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) (taylor -inf im) (#s(alt (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))) (patch (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) (taylor -inf im) (#s(alt (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))) (patch (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) (taylor -inf im) (#s(alt (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))) (patch (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) (taylor -inf im) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor -inf im) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf im) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ -1 im)) (log base))) (taylor -inf im) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) (taylor -inf im) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor -inf im) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf im) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) (taylor -inf im) (#s(alt (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (patch (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) (taylor -inf im) (#s(alt (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (patch (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) (taylor -inf im) (#s(alt (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (patch (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base)) (taylor -inf im) (#s(alt (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (patch (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))) (taylor -inf im) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))) (taylor -inf im) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))) (taylor -inf im) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))) (taylor -inf im) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
141.0ms
base
@-inf
((/ 1 (/ (log base) (log (sqrt (+ (* im im) (* re re)))))) (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (log base) (log (sqrt (+ (* im im) (* re re)))) (* (neg (log im)) (/ -1 (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (log im) (exp (log (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (exp (log (log base)))) (/ (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (+ (* (log base) (log base)) (* 0 0))) (* 0 0) (* (log base) (log base)) (+ (* (log base) (log base)) (* 0 0)) (* (pow (log base) 3) (pow (log base) -2)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (* (pow (log base) 3) (pow (log base) -2))) (/ -1 (log base)) (log (log base)) (/ (/ 1 (log im)) (log base)) (/ 1 (log im)) (pow (log base) 3) (pow (log base) -2))
78.0ms
base
@inf
((/ 1 (/ (log base) (log (sqrt (+ (* im im) (* re re)))))) (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (log base) (log (sqrt (+ (* im im) (* re re)))) (* (neg (log im)) (/ -1 (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (log im) (exp (log (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (exp (log (log base)))) (/ (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (+ (* (log base) (log base)) (* 0 0))) (* 0 0) (* (log base) (log base)) (+ (* (log base) (log base)) (* 0 0)) (* (pow (log base) 3) (pow (log base) -2)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (* (pow (log base) 3) (pow (log base) -2))) (/ -1 (log base)) (log (log base)) (/ (/ 1 (log im)) (log base)) (/ 1 (log im)) (pow (log base) 3) (pow (log base) -2))
56.0ms
base
@0
((/ 1 (/ (log base) (log (sqrt (+ (* im im) (* re re)))))) (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (log base) (log (sqrt (+ (* im im) (* re re)))) (* (neg (log im)) (/ -1 (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (log im) (exp (log (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (exp (log (log base)))) (/ (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (+ (* (log base) (log base)) (* 0 0))) (* 0 0) (* (log base) (log base)) (+ (* (log base) (log base)) (* 0 0)) (* (pow (log base) 3) (pow (log base) -2)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (* (pow (log base) 3) (pow (log base) -2))) (/ -1 (log base)) (log (log base)) (/ (/ 1 (log im)) (log base)) (/ 1 (log im)) (pow (log base) 3) (pow (log base) -2))
46.0ms
im
@0
((/ 1 (/ (log base) (log (sqrt (+ (* im im) (* re re)))))) (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (log base) (log (sqrt (+ (* im im) (* re re)))) (* (neg (log im)) (/ -1 (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (log im) (exp (log (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (exp (log (log base)))) (/ (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (+ (* (log base) (log base)) (* 0 0))) (* 0 0) (* (log base) (log base)) (+ (* (log base) (log base)) (* 0 0)) (* (pow (log base) 3) (pow (log base) -2)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (* (pow (log base) 3) (pow (log base) -2))) (/ -1 (log base)) (log (log base)) (/ (/ 1 (log im)) (log base)) (/ 1 (log im)) (pow (log base) 3) (pow (log base) -2))
32.0ms
im
@-inf
((/ 1 (/ (log base) (log (sqrt (+ (* im im) (* re re)))))) (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (log base) (log (sqrt (+ (* im im) (* re re)))) (* (neg (log im)) (/ -1 (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (log im) (exp (log (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (exp (log (log base)))) (/ (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (+ (* (log base) (log base)) (* 0 0))) (* 0 0) (* (log base) (log base)) (+ (* (log base) (log base)) (* 0 0)) (* (pow (log base) 3) (pow (log base) -2)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (* (pow (log base) 3) (pow (log base) -2))) (/ -1 (log base)) (log (log base)) (/ (/ 1 (log im)) (log base)) (/ 1 (log im)) (pow (log base) 3) (pow (log base) -2))

simplify206.0ms (2%)

Memory
40.3MiB live, 311.6MiB allocated
Algorithm
1×egg-herbie
Rules
6 348×lower-fma.f64
6 348×lower-fma.f32
5 856×lower-*.f64
5 856×lower-*.f32
2 860×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04817514
113887231
250347220
084326653
Stop Event
1×iter limit
1×node limit
Counts
480 → 480
Calls
Call 1
Inputs
(/ (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))
(/ (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)
(log base)
(log base)
(log base)
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (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))
(log base)
(log base)
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(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))))))
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(/ (log im) (log base))
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(log (/ 1 im))
(log (/ 1 im))
(log (/ 1 im))
(log (/ 1 im))
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(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
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Outputs
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
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(/ (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(/ (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(/ (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(/ (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
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(log base)
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(/ (log im) (log base))
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(/ (log im) (log base))
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(/ (log im) (log base))
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(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
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(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
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(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
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(/ (log im) (log base))
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(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
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(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(pow (log base) 2)
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(pow (log base) 2)
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(pow (log base) 2)
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(pow (log base) 2)
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(pow (log base) 2)
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(pow (log base) 2)
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(pow (log base) 2)
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(pow (log base) 2)
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(* -1 (/ (log (/ -1 im)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 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)))))))
(-.f64 (fma.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64))) (log.f64 base)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)))
(* -1 (+ (log -1) (* -1 (log (/ -1 im)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64)))
(* -1 (+ (log -1) (* -1 (log (/ -1 im)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64)))
(* -1 (+ (log -1) (* -1 (log (/ -1 im)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64)))
(* -1 (+ (log -1) (* -1 (log (/ -1 im)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64)))
(+ (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 (/ -1 im)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 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)))))))
(-.f64 (fma.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64))) (log.f64 base)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base))))) (/.f64 (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 -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 (/ -1 im)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 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)))))))
(-.f64 (fma.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64))) (log.f64 base)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)))
(* -1 (/ (log (/ -1 im)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 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)))))))
(-.f64 (fma.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64))) (log.f64 base)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base))))) (/.f64 (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 -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) (+ (log -1) (* -1 (log (/ -1 im))))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ 1 (* (log base) (+ (log -1) (* -1 (log (/ -1 im))))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ 1 (* (log base) (+ (log -1) (* -1 (log (/ -1 im))))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ 1 (* (log base) (+ (log -1) (* -1 (log (/ -1 im))))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))

rewrite257.0ms (2.5%)

Memory
-2.4MiB live, 424.2MiB allocated
Rules
5 796×lower-fma.f64
5 796×lower-fma.f32
5 220×lower-*.f32
5 214×lower-*.f64
2 282×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054241
080183
1250155
21408140
08781140
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 1 678
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(log.f64 base)
(log.f64 (hypot.f64 im re))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(neg.f64 (log.f64 im))
(log.f64 im)
(exp.f64 (log.f64 (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(*.f64 (log.f64 base) (log.f64 base))
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (log.f64 base))
(log.f64 (log.f64 base))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
Outputs
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))
(*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (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 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (log.f64 base)) (log.f64 base))
(*.f64 (*.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base))
(*.f64 (*.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 re im))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64))) (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal -2 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (hypot.f64 re im))) (log.f64 base))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 re im)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (log.f64 base))) #s(literal -1 binary64)) (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal -2 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 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (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 -4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))
(*.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 re im))))
(*.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) (log.f64 base)) (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal -2 binary64)))
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(fma.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -6 binary64))))
(fma.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 -4 binary64)) #s(literal 0 binary64)))
(fma.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)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(fma.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 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(fma.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 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -6 binary64))))
(fma.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 -4 binary64)) #s(literal 0 binary64)))
(fma.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 -6 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (log.f64 base) (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (log.f64 base) (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -6 binary64))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (log.f64 base) (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (log.f64 base) (*.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -6 binary64))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) #s(literal 0 binary64)))
(fma.f64 (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))))
(fma.f64 (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 -6 binary64))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -6 binary64))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -6 binary64))))
(fma.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 -4 binary64)) #s(literal 0 binary64)))
(fma.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 -6 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -6 binary64))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -4 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(fma.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -6 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -6 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -3 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(fma.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -3 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -6 binary64))))
(fma.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -3 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -3 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -6 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) #s(literal 0 binary64)))
(-.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(-.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))
(exp.f64 (-.f64 (neg.f64 (log.f64 (log.f64 base))) (log.f64 (log.f64 base))))
(exp.f64 (neg.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base))))
(+.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 (*.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 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(+.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(+.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(+.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -6 binary64))))
(+.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 0 binary64)))
(+.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) #s(literal 0 binary64)))

eval532.0ms (5.2%)

Memory
2.1MiB live, 1 220.1MiB allocated
Compiler

Compiled 63 529 to 7 345 computations (88.4% saved)

prune321.0ms (3.1%)

Memory
8.8MiB live, 407.8MiB allocated
Pruning

28 alts after pruning (23 fresh and 5 done)

PrunedKeptTotal
New3 047153 062
Fresh12820
Picked235
Done022
Total3 061283 089
Accuracy
100.0%
Counts
3 089 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.0%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
97.9%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
97.9%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) #s(approx (/ (/ 1 (log im)) (log base)) (/.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 (hypot.f64 re im))))
45.1%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64))))
▶98.2%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
▶99.2%
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))))
99.2%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
49.5%
(*.f64 (log.f64 (hypot.f64 im re)) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
98.1%
(*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
45.2%
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base)))
51.9%
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) #s(literal -1 binary64)))
98.1%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
✓99.4%
#s(approx (/ (+ (* (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)))
44.8%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im im (*.f64 re re)))))) (log.f64 base)))
49.9%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64))))
▶49.9%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
✓98.1%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
✓98.3%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
✓49.5%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
49.8%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))))
98.1%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (log.f64 base))))
98.1%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))) (/.f64 #s(literal -1 binary64) (log.f64 base))))
98.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
✓98.2%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
47.7%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64)))))
75.4%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (log.f64 base))))
▶51.7%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))))
Compiler

Compiled 628 to 588 computations (6.4% saved)

simplify89.0ms (0.9%)

Memory
-7.1MiB live, 131.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))
cost-diff0
#s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))))
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
cost-diff0
(log.f64 (/.f64 (log.f64 base) (log.f64 im)))
cost-diff0
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))))
cost-diff192
(*.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
(log.f64 im)
cost-diff0
(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
cost-diff0
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
cost-diff7104
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
cost-diff0
#s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))
cost-diff0
(log.f64 base)
cost-diff0
(/.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
cost-diff0
(log.f64 base)
cost-diff0
(neg.f64 (log.f64 base))
cost-diff448
(*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))
cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))))
Rules
2 326×lower-*.f32
2 322×lower-*.f64
2 100×lower-fma.f64
2 100×lower-fma.f32
1 618×lower-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
052313
075264
1105245
2159239
3309227
41127227
53446227
66574227
77935227
08013227
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))))
#s(literal 1 binary64)
(*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))
(neg.f64 (log.f64 base))
(log.f64 base)
base
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))
#s(literal -1 binary64)
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
#s(literal 1 binary64)
(/.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))
(log.f64 base)
base
#s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))
(log.f64 im)
im
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(log.f64 im)
im
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
(sqrt.f64 (log.f64 base))
(log.f64 base)
base
#s(literal 2 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))
(log.f64 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 base) (log.f64 im))
(log.f64 base)
base
(log.f64 im)
im
#s(literal -1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))))
#s(literal 1 binary64)
#s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(log.f64 im)
im
(log.f64 base)
base
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
#s(literal 1 binary64)
(*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(neg.f64 (log.f64 base))
(log.f64 base)
base
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))
#s(literal -1 binary64)
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(hypot.f64 re im)
(hypot.f64 im re)
re
im
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
(/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (log.f64 base))
#s(literal 1 binary64)
(/.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))
(log.f64 base)
base
#s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))
(log.f64 im)
im
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
(log.f64 base)
(sqrt.f64 (log.f64 base))
(log.f64 base)
base
#s(literal 2 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))
(neg.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))))
(log.f64 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 base) (log.f64 im))
(log.f64 base)
base
(log.f64 im)
im
#s(literal -1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))))
#s(literal 1 binary64)
#s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(log.f64 im)
im
(log.f64 base)
base
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)

localize159.0ms (1.5%)

Memory
20.7MiB live, 294.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.12890625
(/.f64 #s(literal 1 binary64) (log.f64 im))
accuracy0.1484375
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy0.15234375
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))
accuracy0.2421875
(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy0
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))))
accuracy0.08431625976844201
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
accuracy0.1484375
(/.f64 (log.f64 base) (log.f64 im))
accuracy0.3029513665134305
(log.f64 (/.f64 (log.f64 base) (log.f64 im)))
accuracy0
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
accuracy0.0703125
(sqrt.f64 (log.f64 base))
accuracy0.14453125
(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
accuracy0.201503759768442
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
accuracy0
(log.f64 base)
accuracy0
#s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))
accuracy0.08203125
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
accuracy0.1484375
(/.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))
accuracy0
(log.f64 base)
accuracy0.08203125
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))))
accuracy0.12890625
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))
accuracy0.16796875
(*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))
Samples
95.0ms153×0invalid
39.0ms103×0valid
Compiler

Compiled 302 to 43 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-div: 19.0ms (25.5% of total)
ival-log: 17.0ms (22.8% of total)
ival-hypot: 10.0ms (13.4% of total)
ival-mult: 7.0ms (9.4% of total)
ival-pow: 6.0ms (8% of total)
ival-pow2: 5.0ms (6.7% of total)
ival-exp: 2.0ms (2.7% of total)
ival-add: 2.0ms (2.7% of total)
ival-atan2: 2.0ms (2.7% of total)
ival-sqrt: 2.0ms (2.7% of total)
exact: 1.0ms (1.3% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series348.0ms (3.4%)

Memory
-19.7MiB live, 657.7MiB allocated
Counts
24 → 600
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))) (patch (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 base)) (patch (neg.f64 (log.f64 base)) #<representation binary64>) () ())
#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) (patch (/.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) #<representation binary64>) () ())
#s(alt #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) #<representation binary64>) () ())
#s(alt (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) (patch (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 im) (patch (log.f64 im) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (log.f64 base) (log.f64 im))) (patch (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))) (patch #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) (patch (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (log.f64 base)) (patch (sqrt.f64 (log.f64 base)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 base) (log.f64 im)) (patch (/.f64 (log.f64 base) (log.f64 im)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())
Outputs
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))) (patch (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))) (patch (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))) (patch (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))) (patch (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log base)) (taylor 0 base) (#s(alt (neg.f64 (log.f64 base)) (patch (neg.f64 (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log base)) (taylor 0 base) (#s(alt (neg.f64 (log.f64 base)) (patch (neg.f64 (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log base)) (taylor 0 base) (#s(alt (neg.f64 (log.f64 base)) (patch (neg.f64 (log.f64 base)) #<representation binary64>) () ())) ())
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#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))) (taylor -inf im) (#s(alt (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) (patch (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2)))) (pow im 4))) (/ 1 (log (/ -1 im)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2))))) (taylor -inf im) (#s(alt (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) (patch (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ -1 im)) 2))) (+ (* 1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))))) (log (/ -1 im)))))) (pow im 6))) (/ 1 (log (/ -1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2))))))) (taylor -inf im) (#s(alt (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) (patch (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (/.f64 (log.f64 base) (log.f64 im)) (patch (/.f64 (log.f64 base) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (/.f64 (log.f64 base) (log.f64 im)) (patch (/.f64 (log.f64 base) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (/.f64 (log.f64 base) (log.f64 im)) (patch (/.f64 (log.f64 base) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (/.f64 (log.f64 base) (log.f64 im)) (patch (/.f64 (log.f64 base) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
90.0ms
base
@-inf
((/ 1 (* (neg (log base)) (/ -1 (log (sqrt (+ (* re re) (* im im))))))) (* (neg (log base)) (/ -1 (log (sqrt (+ (* re re) (* im im)))))) (neg (log base)) (log base) (/ 1 (/ (log base) (log (sqrt (+ (* im im) (* re re)))))) (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (pow (sqrt (log base)) 2) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (pow (sqrt (log base)) 2)) (log im) (exp (* (log (/ (log base) (log im))) -1)) (* (log (/ (log base) (log im))) -1) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (log (/ (log base) (log im))) (/ (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) 2)) (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/ (/ 1 (log im)) (log base)) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (sqrt (log base)) (/ (log base) (log im)) (pow (log base) 2) (/ 1 (log im)))
72.0ms
base
@0
((/ 1 (* (neg (log base)) (/ -1 (log (sqrt (+ (* re re) (* im im))))))) (* (neg (log base)) (/ -1 (log (sqrt (+ (* re re) (* im im)))))) (neg (log base)) (log base) (/ 1 (/ (log base) (log (sqrt (+ (* im im) (* re re)))))) (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (pow (sqrt (log base)) 2) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (pow (sqrt (log base)) 2)) (log im) (exp (* (log (/ (log base) (log im))) -1)) (* (log (/ (log base) (log im))) -1) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (log (/ (log base) (log im))) (/ (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) 2)) (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/ (/ 1 (log im)) (log base)) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (sqrt (log base)) (/ (log base) (log im)) (pow (log base) 2) (/ 1 (log im)))
47.0ms
base
@inf
((/ 1 (* (neg (log base)) (/ -1 (log (sqrt (+ (* re re) (* im im))))))) (* (neg (log base)) (/ -1 (log (sqrt (+ (* re re) (* im im)))))) (neg (log base)) (log base) (/ 1 (/ (log base) (log (sqrt (+ (* im im) (* re re)))))) (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (pow (sqrt (log base)) 2) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (pow (sqrt (log base)) 2)) (log im) (exp (* (log (/ (log base) (log im))) -1)) (* (log (/ (log base) (log im))) -1) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (log (/ (log base) (log im))) (/ (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) 2)) (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/ (/ 1 (log im)) (log base)) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (sqrt (log base)) (/ (log base) (log im)) (pow (log base) 2) (/ 1 (log im)))
39.0ms
im
@-inf
((/ 1 (* (neg (log base)) (/ -1 (log (sqrt (+ (* re re) (* im im))))))) (* (neg (log base)) (/ -1 (log (sqrt (+ (* re re) (* im im)))))) (neg (log base)) (log base) (/ 1 (/ (log base) (log (sqrt (+ (* im im) (* re re)))))) (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (pow (sqrt (log base)) 2) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (pow (sqrt (log base)) 2)) (log im) (exp (* (log (/ (log base) (log im))) -1)) (* (log (/ (log base) (log im))) -1) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (log (/ (log base) (log im))) (/ (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) 2)) (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/ (/ 1 (log im)) (log base)) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (sqrt (log base)) (/ (log base) (log im)) (pow (log base) 2) (/ 1 (log im)))
28.0ms
im
@0
((/ 1 (* (neg (log base)) (/ -1 (log (sqrt (+ (* re re) (* im im))))))) (* (neg (log base)) (/ -1 (log (sqrt (+ (* re re) (* im im)))))) (neg (log base)) (log base) (/ 1 (/ (log base) (log (sqrt (+ (* im im) (* re re)))))) (/ (log base) (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (pow (sqrt (log base)) 2) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (pow (sqrt (log base)) 2)) (log im) (exp (* (log (/ (log base) (log im))) -1)) (* (log (/ (log base) (log im))) -1) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (log (/ (log base) (log im))) (/ (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) 2)) (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/ (/ 1 (log im)) (log base)) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (sqrt (log base)) (/ (log base) (log im)) (pow (log base) 2) (/ 1 (log im)))

simplify426.0ms (4.1%)

Memory
-19.0MiB live, 391.6MiB allocated
Algorithm
1×egg-herbie
Rules
9 460×lower-fma.f64
9 460×lower-fma.f32
7 942×lower-*.f64
7 942×lower-*.f32
4 008×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098412694
1290512282
0840711378
Stop Event
1×iter limit
1×node limit
Counts
600 → 600
Calls
Call 1
Inputs
(/ (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))
(/ (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 base))
(* -1 (log base))
(* -1 (log base))
(* -1 (log base))
(log base)
(log base)
(log base)
(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))
(/ (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)
(log base)
(log base)
(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))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log 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))))
(/ (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))
(log (/ (log base) (log im)))
(log (/ (log base) (log im)))
(log (/ (log base) (log im)))
(log (/ (log base) (log im)))
(/ (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))
(* (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 base) (log (sqrt (+ (pow im 2) (pow re 2))))))
(/ 1 (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))))
(/ 1 (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))))
(/ 1 (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))))
(/ 1 (* (log base) (log im)))
(/ 1 (* (log base) (log im)))
(/ 1 (* (log base) (log im)))
(/ 1 (* (log base) (log im)))
(sqrt (log base))
(sqrt (log base))
(sqrt (log base))
(sqrt (log base))
(/ (log base) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 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))))
(* -1 (/ (log (/ 1 base)) (log (sqrt (+ (pow im 2) (pow re 2))))))
(* -1 (/ (log (/ 1 base)) (log (sqrt (+ (pow im 2) (pow re 2))))))
(* -1 (/ (log (/ 1 base)) (log (sqrt (+ (pow im 2) (pow re 2))))))
(* -1 (/ (log (/ 1 base)) (log (sqrt (+ (pow im 2) (pow re 2))))))
(log (/ 1 base))
(log (/ 1 base))
(log (/ 1 base))
(log (/ 1 base))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (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))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (/ 1 base)) (log (sqrt (+ (pow im 2) (pow re 2))))))
(* -1 (/ (log (/ 1 base)) (log (sqrt (+ (pow im 2) (pow re 2))))))
(* -1 (/ (log (/ 1 base)) (log (sqrt (+ (pow im 2) (pow re 2))))))
(* -1 (/ (log (/ 1 base)) (log (sqrt (+ (pow im 2) (pow re 2))))))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (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))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 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))))
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(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -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)))))
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(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
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(/ -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))))
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(* (sqrt (log (/ 1 base))) (sqrt -1))
(* (sqrt (log (/ 1 base))) (sqrt -1))
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(* -1 (/ (log (/ 1 base)) (log im)))
(* -1 (/ (log (/ 1 base)) (log im)))
(* -1 (/ (log (/ 1 base)) (log im)))
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(/ (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 -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)))))
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(/ (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)))))
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(* -1 (/ (log base) (log (/ 1 im))))
(* -1 (/ (log base) (log (/ 1 im))))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(* -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 base) (log (/ -1 im))))
(+ (* -1 (/ (log base) (log (/ -1 im)))) (* -1/2 (/ (* (pow re 2) (log base)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(- (+ (* -1 (/ (log base) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log base)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log base)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
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(* -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 base) (log (/ -1 im))))
(+ (* -1 (/ (log base) (log (/ -1 im)))) (* -1/2 (/ (* (pow re 2) (log base)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(- (+ (* -1 (/ (log base) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log base)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log base)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(- (+ (* -1 (/ (log base) (log (/ -1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log base)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log base)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log base)) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log base)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))))
(* -1 (log (/ -1 im)))
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(+ (* -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))))))
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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 -1) (* -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 -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 -1) (* -1 (log (/ -1 im)))))))
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(* -1 (log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))))
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(log (/ (log base) (+ (log -1) (* -1 (log (/ -1 im))))))
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(- (* -1 (/ (+ (* -1/4 (/ (pow re 4) (* (log base) (pow (log (/ -1 im)) 2)))) (* 1/4 (/ (pow re 4) (* (log base) (pow (log (/ -1 im)) 3))))) (pow im 4))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (* (log base) (pow (log (/ -1 im)) 2))))) (/ 1 (* (log base) (log (/ -1 im))))))
(- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (* (log base) (pow (log (/ -1 im)) 3)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (log base) (pow (log (/ -1 im)) 2)))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (* (log base) (pow (log (/ -1 im)) 2)))) (* 1/4 (/ (pow re 4) (* (log base) (pow (log (/ -1 im)) 3)))))) (log (/ -1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (* (log base) (pow (log (/ -1 im)) 2))))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (* (log base) (pow (log (/ -1 im)) 3))))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (* (log base) (pow (log (/ -1 im)) 2))))) (/ 1 (* (log base) (log (/ -1 im))))))))
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(/ 1 (* (log base) (+ (log -1) (* -1 (log (/ -1 im))))))
(/ 1 (log (/ -1 im)))
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Outputs
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
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(/ (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(/ (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(/ (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(/ (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
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(* -1 (log base))
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(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
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(/ (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
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(/ (log im) (log base))
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(/ (log im) (log base))
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(/ (log im) (log base))
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(/ (log im) (log base))
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(/ (log im) (log base))
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(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
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(* -1 (log (/ (log base) (log im))))
(neg.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))))
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(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log (/ (log base) (log im)))
(log.f64 (/.f64 (log.f64 base) (log.f64 im)))
(log (/ (log base) (log im)))
(log.f64 (/.f64 (log.f64 base) (log.f64 im)))
(log (/ (log base) (log im)))
(log.f64 (/.f64 (log.f64 base) (log.f64 im)))
(log (/ (log base) (log im)))
(log.f64 (/.f64 (log.f64 base) (log.f64 im)))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
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(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
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(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
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(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 re im)))
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(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 re im)))
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(/ 1 (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 re im)))
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(/ 1 (* (log base) (log im)))
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(sqrt (log base))
(sqrt.f64 (log.f64 base))
(sqrt (log base))
(sqrt.f64 (log.f64 base))
(sqrt (log base))
(sqrt.f64 (log.f64 base))
(sqrt (log base))
(sqrt.f64 (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))
(pow (log base) 2)
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(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))
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(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
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(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
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(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
(log (/ 1 base))
(neg.f64 (log.f64 base))
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(neg.f64 (log.f64 base))
(log (/ 1 base))
(neg.f64 (log.f64 base))
(log (/ 1 base))
(neg.f64 (log.f64 base))
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
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(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
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(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))
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(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ 1 (* (log base) (+ (log -1) (* -1 (log (/ -1 im))))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ 1 (log (/ -1 im)))
(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))
(fma.f64 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2)))) (pow im 4))) (/ 1 (log (/ -1 im)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64)))) (pow.f64 im #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(- (+ (* -1 (/ (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ -1 im)) 2))) (+ (* 1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))))) (log (/ -1 im)))))) (pow im 6))) (/ 1 (log (/ -1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))))))
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))))) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal -1/4 binary64)))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 base) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 base) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 base) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 base) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))

rewrite488.0ms (4.7%)

Memory
30.5MiB live, 370.2MiB allocated
Rules
3 908×lower-*.f32
3 904×lower-*.f64
3 824×lower-fma.f64
3 824×lower-fma.f32
3 250×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052274
075221
1259201
21505195
08423195
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 859
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))
(neg.f64 (log.f64 base))
(log.f64 base)
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
(/.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))
#s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(log.f64 im)
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))))
(log.f64 (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))))
#s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))
(sqrt.f64 (log.f64 base))
(/.f64 (log.f64 base) (log.f64 im))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 im))
Outputs
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 base))) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.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 (hypot.f64 im re)))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (sqrt.f64 (log.f64 base)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (log.f64 (hypot.f64 im re))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (neg.f64 (log.f64 base))))
(*.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)))
(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 (hypot.f64 im re))))
(neg.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (neg.f64 (log.f64 (hypot.f64 im re)))))
(neg.f64 (*.f64 (neg.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 base)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))))
(neg.f64 (/.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (log.f64 base))))
(neg.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))))
(neg.f64 (neg.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) (neg.f64 (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) (neg.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (neg.f64 (log.f64 base)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (log.f64 (hypot.f64 im re))) (/.f64 (sqrt.f64 (log.f64 base)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #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 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))) (/.f64 (neg.f64 (sqrt.f64 (log.f64 base))) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (log.f64 base))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (log.f64 (hypot.f64 im re))))
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (log.f64 base)) (log.f64 (fma.f64 im im (*.f64 re re)))))
(*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) (log.f64 base))
(*.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))) #s(literal -1 binary64))
(*.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))))
(*.f64 (log.f64 base) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))) (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))))) (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))) (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re)))))))
(/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(/.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))) #s(literal -1 binary64))
(/.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))))
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(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
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(*.f64 (log.f64 base) (log.f64 base))
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(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
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(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
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(fma.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))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (sqrt.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.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))) #s(literal 0 binary64))
(fma.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))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) #s(literal 0 binary64))
(fma.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)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(fma.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))) #s(literal 0 binary64))
(fma.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))) #s(literal 0 binary64))
(fma.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)) #s(literal 0 binary64))
(fma.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)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (sqrt.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 0 binary64))
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(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (log.f64 base) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(exp.f64 (-.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 base))) #s(literal 4 binary64)))
(exp.f64 (log.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 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 im) #s(literal -1/2 binary64)) (pow.f64 (log.f64 im) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) #s(literal -1 binary64))
(*.f64 (pow.f64 (log.f64 im) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 im) #s(literal -1 binary64)))
(pow.f64 (*.f64 (log.f64 im) (log.f64 im)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (log.f64 im) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (log.f64 im) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) #s(literal -1 binary64))
(/.f64 (pow.f64 (log.f64 im) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(neg.f64 (/.f64 (pow.f64 (log.f64 im) #s(literal -1 binary64)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 im) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(exp.f64 (neg.f64 (log.f64 (log.f64 im))))

eval529.0ms (5.1%)

Memory
-2.3MiB live, 685.5MiB allocated
Compiler

Compiled 35 459 to 4 606 computations (87% saved)

prune81.0ms (0.8%)

Memory
7.9MiB live, 263.4MiB allocated
Pruning

31 alts after pruning (25 fresh and 6 done)

PrunedKeptTotal
New1 818141 832
Fresh71118
Picked325
Done145
Total1 829311 860
Accuracy
100.0%
Counts
1 860 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.8%
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
51.5%
(pow.f64 (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (log.f64 base)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
97.9%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
97.9%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
98.1%
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
98.1%
(/.f64 #s(approx (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
98.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (/.f64 #s(literal -1 binary64) (log.f64 base))))
45.1%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64))))
✓98.2%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
75.4%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (exp.f64 (log.f64 (log.f64 im))))))
49.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 base)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))))
98.1%
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))))
99.2%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
49.5%
(*.f64 (log.f64 (hypot.f64 im re)) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
45.2%
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base)))
51.9%
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) #s(literal -1 binary64)))
49.8%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
✓99.4%
#s(approx (/ (+ (* (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)))
44.8%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im im (*.f64 re re)))))) (log.f64 base)))
49.9%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64))))
✓49.9%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
50.8%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))))
✓98.3%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
✓49.5%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
49.8%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))))
98.1%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (log.f64 base))))
98.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal -3 binary64))))
✓98.2%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
47.7%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64)))))
51.7%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (neg.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))))))
Compiler

Compiled 1 412 to 621 computations (56% saved)

regimes190.0ms (1.8%)

Memory
-30.0MiB live, 684.5MiB allocated
Counts
77 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im im (*.f64 re re)))))) (log.f64 base)))
#s(approx (/ (+ (* (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)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (/.f64 #s(literal -1 binary64) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (log.f64 base)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (neg.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64))))
(pow.f64 (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (log.f64 base)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))))
(*.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 #s(approx (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (exp.f64 (log.f64 (log.f64 im))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (/ 1 (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re)))))) (*.f64 (log.f64 im) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (neg.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) #s(approx (/ (/ 1 (log im)) (log base)) (/.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 #s(literal 1 binary64) #s(approx (/ (pow (log base) -1) (log (sqrt (+ (* im im) (* re re))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (log.f64 (hypot.f64 im re)) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (*.f64 (log.f64 im) (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)) (log.f64 (hypot.f64 im re)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) #s(literal -1 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal -5 binary64)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 2 binary64))))
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (log.f64 base)) (log.f64 base))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (log.f64 base))))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (fma.f64 (*.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (*.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im im (*.f64 re re)))))) (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 (log.f64 base) #s(literal -4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))) #s(literal -1 binary64))) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (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 3 binary64)) (log.f64 (hypot.f64 im re))) (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 -1 binary64)) (log.f64 (hypot.f64 im re))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (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 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #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 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
Outputs
#s(approx (/ (+ (* (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)))
Calls

5 calls:

45.0ms
im
40.0ms
(log.f64 base)
40.0ms
base
36.0ms
re
22.0ms
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Results
AccuracySegmentsBranch
99.4%1re
99.4%1im
99.4%1base
99.4%1(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.4%1(log.f64 base)
Compiler

Compiled 33 to 31 computations (6.1% saved)

regimes36.0ms (0.4%)

Memory
22.5MiB live, 139.3MiB allocated
Accuracy

Total -34.7b remaining (-3116.5%)

Threshold costs -34.7b (-3116.5%)

Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)))))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im im (*.f64 re re)))))) (log.f64 base)))
Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
Calls

5 calls:

8.0ms
re
8.0ms
im
7.0ms
(log.f64 base)
7.0ms
base
5.0ms
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Results
AccuracySegmentsBranch
98.3%1re
98.3%1im
98.3%1base
98.3%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))))
98.3%1(log.f64 base)
Compiler

Compiled 33 to 31 computations (6.1% saved)

simplify25.0ms (0.2%)

Memory
-2.2MiB live, 77.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02666
Stop Event
1×saturated
Calls
Call 1
Inputs
#s(approx (/ (+ (* (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)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
Outputs
#s(approx (/ (+ (* (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)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))

soundness231.0ms (2.2%)

Memory
-5.2MiB live, 153.8MiB allocated
Rules
12 210×lower-fma.f64
12 210×lower-fma.f32
4 836×lower-*.f64
4 836×lower-*.f32
3 926×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02992912
18402860
226412828
363302818
080952516
Stop Event
1×fuel
1×iter limit
1×node limit
Compiler

Compiled 26 to 24 computations (7.7% saved)

preprocess74.0ms (0.7%)

Memory
-22.6MiB live, 108.2MiB allocated
Remove

(sort re im)

(abs re)

(abs im)

Compiler

Compiled 132 to 106 computations (19.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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