math.log/2 on complex, imaginary part

Time bar (total: 8.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze335.0ms (3.8%)

Memory
33.2MiB live, 305.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%49.9%0.1%0%49.9%0%4
0%0%49.9%0.1%0%49.9%0%5
0%0%49.9%0.1%0%49.9%0%6
9.4%4.7%45.2%0.1%0%49.9%0%7
17.2%8.6%41.3%0.1%0%49.9%0%8
27.3%13.7%36.3%0.1%0%49.9%0%9
41%20.5%29.4%0.1%0%49.9%0%10
48.6%24.3%25.6%0.1%0%49.9%0%11
57.1%28.5%21.4%0.1%0%49.9%0%12
Compiler

Compiled 30 to 17 computations (43.3% saved)

sample1.5s (16.8%)

Memory
30.4MiB live, 2 571.3MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 804.0ms
ival-log: 247.0ms (30.7% of total)
ival-hypot: 156.0ms (19.4% of total)
ival-mult: 132.0ms (16.4% of total)
ival-atan2: 86.0ms (10.7% of total)
ival-div: 71.0ms (8.8% of total)
ival-add: 53.0ms (6.6% of total)
ival-sub: 45.0ms (5.6% of total)
ival-true: 6.0ms (0.7% of total)
exact: 5.0ms (0.6% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain359.0ms (4.1%)

Memory
-8.2MiB live, 516.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1250-0-(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
21(1.1021894739108407e+176 7.74688228652863e-150 9.890908333303286e-119)1(1.2563443457577352e+197 -7.606860761163667e-121 4.6816881195590194e-111)(*.f64 (atan2.f64 im re) (log.f64 base))
00-0-(log.f64 base)
00-0-(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
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 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
00-0-(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
00-0-(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
00-0-#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 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-rescue1130
(+.f64 (*.f64 re re) (*.f64 im im))overflow113
(*.f64 re re)overflow70
(*.f64 im im)overflow55
*.f64(*.f64 (atan2.f64 im re) (log.f64 base))n*u20
Confusion
Predicted +Predicted -
+11312
-1130
Precision
0.9912280701754386
Recall
0.904
Confusion?
Predicted +Predicted MaybePredicted -
+113012
-10130
Precision?
0.9912280701754386
Recall?
0.904
Freqs
test
numberfreq
0142
1113
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
138.0ms512×0valid
Compiler

Compiled 270 to 58 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-add: 38.0ms (44.8% of total)
ival-mult: 15.0ms (17.7% of total)
ival-log: 13.0ms (15.3% of total)
ival-hypot: 9.0ms (10.6% of total)
ival-atan2: 4.0ms (4.7% of total)
ival-div: 3.0ms (3.5% of total)
ival-sub: 2.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess310.0ms (3.5%)

Memory
-18.3MiB live, 253.4MiB allocated
Algorithm
egg-herbie
Rules
5 718×lower-*.f32
5 710×lower-*.f64
3 010×cube-prod
2 174×lower-/.f32
2 172×lower-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
076139
1205121
243878
385163
4141763
5246163
6327363
7394463
8609763
9791963
01826
03314
15212
2758
3946
41126
51836
63976
712646
819386
924196
1029916
1138866
1246676
1356806
1468396
1571776
1673846
1775796
1877866
085946
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #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 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #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) (log.f64 base))
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
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.8%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #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)

simplify233.0ms (2.6%)

Memory
25.4MiB live, 183.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff192
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
cost-diff320
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
cost-diff13440
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
cost-diff13824
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
Rules
5 718×lower-*.f32
5 710×lower-*.f64
3 010×cube-prod
2 174×lower-/.f32
2 172×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018113
03381
15275
27571
39469
411269
518369
639769
7126469
8193869
9241969
10299169
11388669
12466769
13568069
14683969
15717769
16738469
17757969
18778669
0859457
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(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)
(*.f64 im im)
#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 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #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) (log.f64 base))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
#s(literal 0 binary64)
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(log.f64 (sqrt.f64 (hypot.f64 re im)))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(sqrt.f64 (hypot.f64 re im))
(+.f64 (*.f64 re re) (*.f64 im im))
(hypot.f64 re im)
(*.f64 re re)
(*.f64 im im)
#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)

localize114.0ms (1.3%)

Memory
-45.5MiB live, 93.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.2890625
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
accuracy0.4260984830018647
(*.f64 (atan2.f64 im re) (log.f64 base))
accuracy0.5420112793053261
(*.f64 (log.f64 base) (log.f64 base))
accuracy29.08962178038225
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Samples
78.0ms256×0valid
Compiler

Compiled 121 to 20 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 7.0ms (28.9% of total)
ival-log: 6.0ms (24.8% of total)
ival-hypot: 4.0ms (16.5% of total)
ival-add: 2.0ms (8.3% of total)
ival-atan2: 2.0ms (8.3% of total)
ival-div: 1.0ms (4.1% of total)
ival-sub: 1.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series244.0ms (2.8%)

Memory
31.8MiB live, 221.2MiB allocated
Counts
7 → 168
Calls
Call 1
Inputs
#s(alt (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)) (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)) #<representation:binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #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 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #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 #s(literal 0 binary64) #s(literal 0 binary64)) (patch (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #<representation:binary64>) () ())
#s(alt (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #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 (atan2.f64 im re) (log.f64 base)) (patch (*.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())
Outputs
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #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 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #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 (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #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 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #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 (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #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 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #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 (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #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 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #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) (atan2 im re)) (taylor 0 base) (#s(alt (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #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) (atan2 im re)) (taylor 0 base) (#s(alt (*.f64 (atan2.f64 im re) (log.f64 base)) (patch (*.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (*.f64 (atan2.f64 im re) (log.f64 base)) (patch (*.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (*.f64 (atan2.f64 im re) (log.f64 base)) (patch (*.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (*.f64 (atan2.f64 im re) (log.f64 base)) (patch (*.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())) ())
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#s(alt (* (log base) (atan2 im re)) (taylor inf im) (#s(alt (*.f64 (atan2.f64 im re) (log.f64 base)) (patch (*.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor inf im) (#s(alt (*.f64 (atan2.f64 im re) (log.f64 base)) (patch (*.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor inf im) (#s(alt (*.f64 (atan2.f64 im re) (log.f64 base)) (patch (*.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())) ())
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#s(alt 0 (taylor -inf im) (#s(alt (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)) (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)) #<representation:binary64>) () ())) ())
#s(alt 0 (taylor -inf im) (#s(alt (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)) (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #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 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #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 (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #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 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation:binary64>) () ())) ())
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#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #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 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #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) (atan2 im re)) (taylor -inf im) (#s(alt (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) #<representation:binary64>) () ())) ())
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#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (*.f64 (atan2.f64 im re) (log.f64 base)) (patch (*.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (*.f64 (atan2.f64 im re) (log.f64 base)) (patch (*.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (*.f64 (atan2.f64 im re) (log.f64 base)) (patch (*.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
50.0ms
im
@-inf
((* (log (sqrt (+ (* re re) (* im im)))) 0) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))
49.0ms
base
@0
((* (log (sqrt (+ (* re re) (* im im)))) 0) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))
47.0ms
base
@-inf
((* (log (sqrt (+ (* re re) (* im im)))) 0) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))
36.0ms
re
@-inf
((* (log (sqrt (+ (* re re) (* im im)))) 0) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))
29.0ms
re
@0
((* (log (sqrt (+ (* re re) (* im im)))) 0) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))

simplify284.0ms (3.2%)

Memory
-5.7MiB live, 469.8MiB allocated
Algorithm
egg-herbie
Rules
20 618×lower-fma.f64
20 618×lower-fma.f32
5 116×lower-*.f64
5 116×lower-*.f32
2 342×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01211220
13131204
29851202
335291166
466791166
083171132
Stop Event
iter limit
node limit
Counts
168 → 164
Calls
Call 1
Inputs
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(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 -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
0
0
0
0
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
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) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
0
0
0
0
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
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)))))))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
0
0
0
0
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* -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))))))))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
0
0
0
0
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
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) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
0
0
0
0
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
0
0
0
0
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
Outputs
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(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) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(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 (/ 1 base)) (atan2 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(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 -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
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 (*.f64 (/.f64 re im) #s(literal 1/2 binary64)) re (fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64))) 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) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(fma.f64 (*.f64 (/.f64 im re) #s(literal 1/2 binary64)) im re)
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/8 binary64)) (/.f64 re (pow.f64 re #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 im re) #s(literal 1/2 binary64)) im 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)))))))
(fma.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))) #s(literal 1 binary64))) re (*.f64 (/.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* -1 re)
(neg.f64 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 im re)) im (neg.f64 re))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(fma.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/8 binary64) #s(literal -1 binary64)) re (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 im im) re)))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 im re)) im (*.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/8 binary64) #s(literal -1 binary64))) re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(fma.f64 (*.f64 (/.f64 im re) #s(literal 1/2 binary64)) im re)
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(fma.f64 (*.f64 (/.f64 im re) #s(literal 1/2 binary64)) im (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) im) (/.f64 im (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 im im) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 im im) re)
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re re) im)
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) im) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re re) im))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(fma.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64))) im (*.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* -1 im)
(neg.f64 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 re re) im) (neg.f64 im))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(fma.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/8 binary64) #s(literal -1 binary64)) im (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 re re) im)))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 re im)) re (*.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 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) #s(literal -1 binary64))) im))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))

rewrite287.0ms (3.2%)

Memory
18.1MiB live, 325.1MiB allocated
Rules
5 482×lower-fma.f64
5 482×lower-fma.f32
4 232×lower-*.f32
4 224×lower-*.f64
3 170×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01875
03343
110937
272432
3704532
0848828
Stop Event
iter limit
node limit
iter limit
Counts
7 → 1 558
Calls
Call 1
Inputs
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.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 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (atan2.f64 im re) (log.f64 base))
Outputs
#s(literal 0 binary64)
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (neg.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (neg.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64))) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 base) (atan2.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) (atan2.f64 im re)) #s(literal 3 binary64))) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 6 binary64))) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 4 binary64)))
(*.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) #s(literal 1 binary64))) (log.f64 base))
(*.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)))) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64))) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 12 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.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) (atan2.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 (neg.f64 (*.f64 (log.f64 base) (atan2.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 (neg.f64 (*.f64 (log.f64 base) (atan2.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 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64))) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) (log.f64 base))
(*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base))
(*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
(*.f64 (*.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (atan2.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) (atan2.f64 im re)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (/.f64 (atan2.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 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (log.f64 base)) (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base)))
(*.f64 (*.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
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(fma.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re)) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (atan2.f64 im re)) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (atan2.f64 im re)) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (atan2.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 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64))
(fma.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (*.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (*.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (atan2.f64 im re) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))
(fma.f64 (atan2.f64 im re) (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (atan2.f64 im re) (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (atan2.f64 im re) (*.f64 (log.f64 base) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (atan2.f64 im re) (*.f64 (log.f64 base) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (atan2.f64 im re) (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (atan2.f64 im re) (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64))
(fma.f64 (atan2.f64 im re) (log.f64 base) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(+.f64 (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (atan2.f64 im re)))

eval233.0ms (2.6%)

Memory
0.5MiB live, 594.8MiB allocated
Compiler

Compiled 56 021 to 3 404 computations (93.9% saved)

prune64.0ms (0.7%)

Memory
3.5MiB live, 202.8MiB allocated
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New1 702201 722
Fresh000
Picked101
Done000
Total1 703201 723
Accuracy
100.0%
Counts
1 723 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
99.1%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
99.0%
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
99.3%
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.3%
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
78.1%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))))
98.7%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
98.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
98.8%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
81.6%
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
99.0%
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
99.4%
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
99.3%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
99.3%
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
81.7%
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
98.5%
(*.f64 (/.f64 (atan2.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))))
99.2%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
99.3%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
43.1%
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)))
Compiler

Compiled 496 to 414 computations (16.5% saved)

simplify171.0ms (1.9%)

Memory
1.7MiB live, 174.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 base)
cost-diff0
(pow.f64 (log.f64 base) #s(literal -2 binary64))
cost-diff5376
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
cost-diff14272
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
cost-diff0
(atan2.f64 im re)
cost-diff0
(log.f64 base)
cost-diff0
(*.f64 (log.f64 base) (atan2.f64 im re))
cost-diff13184
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
cost-diff0
(log.f64 base)
cost-diff0
(pow.f64 (log.f64 base) #s(literal -1 binary64))
cost-diff7168
(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
cost-diff0
(atan2.f64 im re)
cost-diff0
(log.f64 base)
cost-diff0
(/.f64 (log.f64 base) (atan2.f64 im re))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
cost-diff0
(log.f64 base)
cost-diff0
(atan2.f64 im re)
cost-diff0
(/.f64 (atan2.f64 im re) (log.f64 base))
Rules
6 038×lower-*.f32
6 036×lower-*.f64
3 232×cube-prod
3 014×associate-/r/
2 042×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021137
035119
146119
267119
3102119
4219119
51331119
61921119
72029119
82166119
92400119
102712119
113147119
123656119
134295119
144602119
154796119
164886119
174969119
185053119
195685119
206727119
09197119
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
#s(literal 1 binary64)
(/.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(log.f64 base)
base
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
#s(literal 1 binary64)
(atan2.f64 im re)
im
re
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log.f64 base)
base
#s(literal -2 binary64)
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(*.f64 (log.f64 base) (atan2.f64 im re))
(atan2.f64 im re)
im
re
#s(literal -1 binary64)
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
#s(literal 1 binary64)
(/.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(log.f64 base)
base
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
#s(literal 1 binary64)
(atan2.f64 im re)
im
re
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log.f64 base)
base
#s(literal -2 binary64)
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(atan2.f64 im re)
im
re
#s(literal -1 binary64)

localize84.0ms (0.9%)

Memory
-24.0MiB live, 175.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.21875
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
accuracy0.4260984830018647
(*.f64 (log.f64 base) (atan2.f64 im re))
accuracy0.5085353853668282
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
accuracy0.5322838379159782
(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy0
(log.f64 base)
accuracy0.2890625
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy0.4260984830018647
(*.f64 (log.f64 base) (atan2.f64 im re))
accuracy0.5459175293053261
(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy0
(log.f64 base)
accuracy0.05859375
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
accuracy0.25390625
(pow.f64 (log.f64 base) #s(literal -1 binary64))
accuracy0.6255942720104515
(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
accuracy0
(atan2.f64 im re)
accuracy0
(log.f64 base)
accuracy0.33203125
(/.f64 (log.f64 base) (atan2.f64 im re))
accuracy0.6343674905192213
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
accuracy0
(atan2.f64 im re)
accuracy0
(log.f64 base)
accuracy0.3125
(/.f64 (atan2.f64 im re) (log.f64 base))
Samples
64.0ms256×0valid
Compiler

Compiled 139 to 23 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-pow: 12.0ms (32.7% of total)
ival-div: 10.0ms (27.2% of total)
ival-mult: 6.0ms (16.3% of total)
ival-log: 3.0ms (8.2% of total)
ival-atan2: 2.0ms (5.4% of total)
ival-pow2: 2.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series138.0ms (1.6%)

Memory
18.2MiB live, 174.4MiB allocated
Counts
14 → 384
Calls
Call 1
Inputs
#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())
#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation:binary64>) () ())
#s(alt (log.f64 base) (patch (log.f64 base) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) #<representation:binary64>) () ())
#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())
#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.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>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #<representation:binary64>) () ())
#s(alt (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (patch (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #<representation:binary64>) () ())
#s(alt (*.f64 (log.f64 base) (atan2.f64 im re)) (patch (*.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())
#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) #<representation:binary64>) () ())
#s(alt (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 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>) () ())
#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 (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (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 (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (log base)) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal -1 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (log base)) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal -1 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (log base)) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal -1 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (log base)) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal -1 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (patch (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (patch (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (patch (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (patch (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (*.f64 (log.f64 base) (atan2.f64 im re)) (patch (*.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (*.f64 (log.f64 base) (atan2.f64 im re)) (patch (*.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (*.f64 (log.f64 base) (atan2.f64 im re)) (patch (*.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (*.f64 (log.f64 base) (atan2.f64 im re)) (patch (*.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* (log base) (atan2 im re))) (taylor 0 base) (#s(alt (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* (log base) (atan2 im re))) (taylor 0 base) (#s(alt (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* (log base) (atan2 im re))) (taylor 0 base) (#s(alt (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* (log base) (atan2 im re))) (taylor 0 base) (#s(alt (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (pow (log base) 2)) (taylor 0 base) (#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 (/ 1 (pow (log base) 2)) (taylor 0 base) (#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 (/ 1 (pow (log base) 2)) (taylor 0 base) (#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 (/ 1 (pow (log base) 2)) (taylor 0 base) (#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 (pow (log base) 2) (taylor 0 base) (#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 (pow (log base) 2) (taylor 0 base) (#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 (pow (log base) 2) (taylor 0 base) (#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 (pow (log base) 2) (taylor 0 base) (#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 (* -1 (/ (atan2 im re) (log (/ 1 base)))) (taylor inf base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (atan2 im re) (log (/ 1 base)))) (taylor inf base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (atan2 im re) (log (/ 1 base)))) (taylor inf base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (atan2 im re) (log (/ 1 base)))) (taylor inf base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 base))) (taylor inf base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation:binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 base))) (taylor inf base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation:binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 base))) (taylor inf base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation:binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 base))) (taylor inf base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (atan2 im re) (log (/ 1 base)))) (taylor inf base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (atan2 im re) (log (/ 1 base)))) (taylor inf base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (atan2 im re) (log (/ 1 base)))) (taylor inf base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (atan2 im re) (log (/ 1 base)))) (taylor inf base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 base)) (atan2 im re))) (taylor inf base) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 base)) (atan2 im re))) (taylor inf base) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 base)) (atan2 im re))) (taylor inf base) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 base)) (atan2 im re))) (taylor inf base) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (atan2 im re) (log (/ 1 base)))) (taylor inf base) (#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (atan2 im re) (log (/ 1 base)))) (taylor inf base) (#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
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#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (*.f64 (log.f64 base) (atan2.f64 im re)) (patch (*.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* (log base) (atan2 im re))) (taylor -inf im) (#s(alt (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* (log base) (atan2 im re))) (taylor -inf im) (#s(alt (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* (log base) (atan2 im re))) (taylor -inf im) (#s(alt (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (* (log base) (atan2 im re))) (taylor -inf im) (#s(alt (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) #<representation:binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
34.0ms
re
@0
((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (/ (pow (log base) -1) (/ 1 (atan2 im re))) (pow (log base) -1) (/ 1 (atan2 im re)) (/ (* (log base) (atan2 im re)) (pow (log base) 2)) (* (log base) (atan2 im re)) (/ (pow (log base) -2) (pow (* (log base) (atan2 im re)) -1)) (pow (* (log base) (atan2 im re)) -1) (pow (log base) -2) (pow (log base) 2))
31.0ms
im
@0
((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (/ (pow (log base) -1) (/ 1 (atan2 im re))) (pow (log base) -1) (/ 1 (atan2 im re)) (/ (* (log base) (atan2 im re)) (pow (log base) 2)) (* (log base) (atan2 im re)) (/ (pow (log base) -2) (pow (* (log base) (atan2 im re)) -1)) (pow (* (log base) (atan2 im re)) -1) (pow (log base) -2) (pow (log base) 2))
11.0ms
base
@inf
((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (/ (pow (log base) -1) (/ 1 (atan2 im re))) (pow (log base) -1) (/ 1 (atan2 im re)) (/ (* (log base) (atan2 im re)) (pow (log base) 2)) (* (log base) (atan2 im re)) (/ (pow (log base) -2) (pow (* (log base) (atan2 im re)) -1)) (pow (* (log base) (atan2 im re)) -1) (pow (log base) -2) (pow (log base) 2))
10.0ms
im
@-inf
((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (/ (pow (log base) -1) (/ 1 (atan2 im re))) (pow (log base) -1) (/ 1 (atan2 im re)) (/ (* (log base) (atan2 im re)) (pow (log base) 2)) (* (log base) (atan2 im re)) (/ (pow (log base) -2) (pow (* (log base) (atan2 im re)) -1)) (pow (* (log base) (atan2 im re)) -1) (pow (log base) -2) (pow (log base) 2))
9.0ms
base
@-inf
((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (/ (pow (log base) -1) (/ 1 (atan2 im re))) (pow (log base) -1) (/ 1 (atan2 im re)) (/ (* (log base) (atan2 im re)) (pow (log base) 2)) (* (log base) (atan2 im re)) (/ (pow (log base) -2) (pow (* (log base) (atan2 im re)) -1)) (pow (* (log base) (atan2 im re)) -1) (pow (log base) -2) (pow (log base) 2))

simplify141.0ms (1.6%)

Memory
18.0MiB live, 91.6MiB allocated
Algorithm
egg-herbie
Rules
2 320×lower-fma.f64
2 320×lower-fma.f32
1 008×lower-*.f64
1 008×lower-*.f32
492×lower-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0412472
1682424
21212424
32862424
47032424
513822424
621362424
729632424
833792424
934402424
1034462424
1134462424
1234962424
1335142424
035142424
Stop Event
iter limit
saturated
Counts
384 → 384
Calls
Call 1
Inputs
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(log base)
(log base)
(log base)
(log base)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ -1 (* (log (/ 1 base)) (atan2 im re)))
(/ -1 (* (log (/ 1 base)) (atan2 im re)))
(/ -1 (* (log (/ 1 base)) (atan2 im re)))
(/ -1 (* (log (/ 1 base)) (atan2 im re)))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(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)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
Outputs
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log base)
(log.f64 base)
(log base)
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
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(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
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(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2 im re)
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (log.f64 base) (atan2.f64 im re))
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(/.f64 (log.f64 base) (atan2.f64 im re))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
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(*.f64 (log.f64 base) (atan2.f64 im re))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2 im re)
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
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(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/ 1 (* (log base) (atan2 im re)))
(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
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(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
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(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(/ (atan2 im re) (log base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2 im re)
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (log base) (atan2 im re))
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(/.f64 (log.f64 base) (atan2.f64 im re))
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(/.f64 (log.f64 base) (atan2.f64 im re))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(*.f64 (log.f64 base) (atan2.f64 im re))
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(*.f64 (log.f64 base) (atan2.f64 im re))
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(*.f64 (log.f64 base) (atan2.f64 im re))
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(*.f64 (log.f64 base) (atan2.f64 im re))
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(/ (atan2 im re) (log base))
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(/ (atan2 im re) (log base))
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(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
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(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
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(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
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(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ 1 (* (log base) (atan2 im re)))
(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(/ 1 (* (log base) (atan2 im re)))
(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(/ 1 (* (log base) (atan2 im re)))
(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(/ 1 (* (log base) (atan2 im re)))
(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))

rewrite271.0ms (3.1%)

Memory
-21.5MiB live, 333.9MiB allocated
Rules
4 120×lower-*.f32
4 118×lower-*.f64
2 604×lower-/.f32
2 590×lower-/.f64
1 766×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02190
03572
110872
247172
3356372
0906772
Stop Event
iter limit
node limit
iter limit
Counts
14 → 1 927
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
(log.f64 base)
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base))) (neg.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -1/4 binary64)))
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(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 (log.f64 base))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 (log.f64 base)) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -4 binary64))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -2 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(/.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (-.f64 (neg.f64 (log.f64 (log.f64 base))) (log.f64 (log.f64 base)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 (log.f64 base))) (log.f64 (log.f64 base))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.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 (neg.f64 (log.f64 (log.f64 base))) #s(literal -2 binary64)))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))

eval443.0ms (5%)

Memory
66.9MiB live, 786.8MiB allocated
Compiler

Compiled 56 847 to 3 634 computations (93.6% saved)

prune133.0ms (1.5%)

Memory
-22.8MiB live, 326.4MiB allocated
Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New3 038203 058
Fresh11415
Picked235
Done000
Total3 051273 078
Accuracy
100.0%
Counts
3 078 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
43.8%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64))
51.7%
(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base))
47.6%
(/.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
99.0%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base)))))
99.1%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))))
47.6%
(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
47.6%
(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
47.3%
(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
47.6%
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
98.9%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
99.3%
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
47.6%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re)))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
98.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (neg.f64 (atan2.f64 im re)))))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))) (/.f64 #s(literal -1 binary64) (log.f64 base))))
98.7%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
98.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
47.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
98.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
47.7%
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
99.3%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
99.4%
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
99.2%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
99.3%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
47.7%
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
Compiler

Compiled 565 to 503 computations (11% saved)

simplify37.0ms (0.4%)

Memory
-12.0MiB live, 67.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))
cost-diff0
(log.f64 base)
cost-diff0
(pow.f64 (log.f64 base) #s(literal -3/2 binary64))
cost-diff0
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
cost-diff0
(atan2.f64 im re)
cost-diff0
(/.f64 (atan2.f64 im re) (log.f64 base))
cost-diff0
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
cost-diff12800
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
cost-diff0
(log.f64 base)
cost-diff0
(/.f64 (log.f64 base) (atan2.f64 im re))
cost-diff0
(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
cost-diff0
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64))
cost-diff0
(atan2.f64 im re)
cost-diff0
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
cost-diff0
(neg.f64 (atan2.f64 im re))
cost-diff0
(log.f64 base)
cost-diff0
(/.f64 #s(literal -1 binary64) (log.f64 base))
cost-diff448
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
Rules
324×lower-fma.f64
324×lower-fma.f32
324×lower-*.f32
316×lower-*.f64
208×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025153
043158
161142
294142
3245142
4684142
51069142
61153142
71198142
81222142
91227142
01227142
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(/.f64 #s(literal -1 binary64) (log.f64 base))
#s(literal -1 binary64)
(log.f64 base)
base
(neg.f64 (atan2.f64 im re))
(atan2.f64 im re)
im
re
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64))
(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
#s(literal -2 binary64)
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
(pow.f64 (log.f64 base) #s(literal -3/2 binary64))
(log.f64 base)
base
#s(literal -3/2 binary64)
(*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))
(sqrt.f64 (log.f64 base))
(atan2.f64 im re)
im
re
Outputs
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 #s(literal -1 binary64) (log.f64 base))
#s(literal -1 binary64)
(log.f64 base)
base
(neg.f64 (atan2.f64 im re))
(atan2.f64 im re)
im
re
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64))
(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
#s(literal -2 binary64)
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
(pow.f64 (log.f64 base) #s(literal -3/2 binary64))
(log.f64 base)
base
#s(literal -3/2 binary64)
(*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))
(sqrt.f64 (log.f64 base))
(atan2.f64 im re)
im
re

localize80.0ms (0.9%)

Memory
-3.8MiB live, 153.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.02734375
(sqrt.f64 (log.f64 base))
accuracy0.06640625
(*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))
accuracy0.07421875
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
accuracy0.0859375
(pow.f64 (log.f64 base) #s(literal -3/2 binary64))
accuracy0
(log.f64 base)
accuracy0.05078125
(/.f64 (atan2.f64 im re) (log.f64 base))
accuracy0.33234343479055467
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
accuracy0.9919692510784146
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
accuracy0
(log.f64 base)
accuracy0.05859375
(/.f64 (log.f64 base) (atan2.f64 im re))
accuracy0.11947250976844202
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64))
accuracy0.9677671660978499
(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
accuracy0
(log.f64 base)
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
accuracy0.04296875
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
accuracy0.06640625
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
accuracy0
(neg.f64 (atan2.f64 im re))
accuracy0
(log.f64 base)
accuracy0.046875
(/.f64 #s(literal -1 binary64) (log.f64 base))
accuracy0.07650375976844201
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
Samples
40.0ms202×0invalid
14.0ms54×0valid
Compiler

Compiled 155 to 27 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 8.0ms (24.1% of total)
ival-log: 6.0ms (18.1% of total)
ival-mult: 5.0ms (15.1% of total)
ival-pow: 5.0ms (15.1% of total)
ival-sqrt: 3.0ms (9% of total)
ival-exp: 2.0ms (6% of total)
ival-atan2: 2.0ms (6% of total)
ival-neg: 1.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series403.0ms (4.5%)

Memory
1.4MiB live, 466.3MiB allocated
Counts
18 → 516
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re))) #<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 base) (patch (log.f64 base) #<representation:binary64>) () ())
#s(alt (neg.f64 (atan2.f64 im re)) (patch (neg.f64 (atan2.f64 im re)) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #<representation:binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #<representation:binary64>) () ())
#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation:binary64>) () ())
#s(alt (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64)) (patch (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64)) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (patch (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #<representation:binary64>) () ())
#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())
#s(alt (exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (patch (exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #<representation:binary64>) () ())
#s(alt (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (patch (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #<representation:binary64>) () ())
#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())
#s(alt (*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))) (patch (*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))) #<representation:binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) #<representation:binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (patch (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (log.f64 base)) (patch (sqrt.f64 (log.f64 base)) #<representation:binary64>) () ())
Outputs
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (/ -1 (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal -1 binary64) (log.f64 base)) (patch (/.f64 #s(literal -1 binary64) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (/ -1 (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal -1 binary64) (log.f64 base)) (patch (/.f64 #s(literal -1 binary64) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (/ -1 (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal -1 binary64) (log.f64 base)) (patch (/.f64 #s(literal -1 binary64) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (/ -1 (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal -1 binary64) (log.f64 base)) (patch (/.f64 #s(literal -1 binary64) (log.f64 base)) #<representation:binary64>) () ())) ())
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#s(alt (sqrt (/ (log base) (atan2 im re))) (taylor -inf im) (#s(alt (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (patch (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (sqrt (/ (log base) (atan2 im re))) (taylor -inf im) (#s(alt (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (patch (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor -inf im) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor -inf im) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor -inf im) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor -inf im) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (patch (exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (patch (exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (patch (exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (patch (exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #<representation:binary64>) () ())) ())
#s(alt (log (/ (atan2 im re) (log base))) (taylor -inf im) (#s(alt (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (patch (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #<representation:binary64>) () ())) ())
#s(alt (log (/ (atan2 im re) (log base))) (taylor -inf im) (#s(alt (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (patch (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #<representation:binary64>) () ())) ())
#s(alt (log (/ (atan2 im re) (log base))) (taylor -inf im) (#s(alt (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (patch (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #<representation:binary64>) () ())) ())
#s(alt (log (/ (atan2 im re) (log base))) (taylor -inf im) (#s(alt (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (patch (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))) (patch (*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))) (patch (*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))) (patch (*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))) (patch (*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt (log base)) (atan2 im re)) (taylor -inf im) (#s(alt (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (patch (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt (log base)) (atan2 im re)) (taylor -inf im) (#s(alt (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (patch (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt (log base)) (atan2 im re)) (taylor -inf im) (#s(alt (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (patch (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt (log base)) (atan2 im re)) (taylor -inf im) (#s(alt (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (patch (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
105.0ms
im
@inf
((* (/ -1 (log base)) (neg (atan2 im re))) (/ -1 (log base)) (log base) (neg (atan2 im re)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (atan2 im re) (pow (sqrt (/ (log base) (atan2 im re))) -2) (sqrt (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (exp (log (/ (atan2 im re) (log base)))) (log (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (* (pow (log base) -3/2) (* (sqrt (log base)) (atan2 im re))) (pow (log base) -3/2) (* (sqrt (log base)) (atan2 im re)) (sqrt (log base)))
64.0ms
base
@0
((* (/ -1 (log base)) (neg (atan2 im re))) (/ -1 (log base)) (log base) (neg (atan2 im re)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (atan2 im re) (pow (sqrt (/ (log base) (atan2 im re))) -2) (sqrt (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (exp (log (/ (atan2 im re) (log base)))) (log (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (* (pow (log base) -3/2) (* (sqrt (log base)) (atan2 im re))) (pow (log base) -3/2) (* (sqrt (log base)) (atan2 im re)) (sqrt (log base)))
55.0ms
base
@-inf
((* (/ -1 (log base)) (neg (atan2 im re))) (/ -1 (log base)) (log base) (neg (atan2 im re)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (atan2 im re) (pow (sqrt (/ (log base) (atan2 im re))) -2) (sqrt (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (exp (log (/ (atan2 im re) (log base)))) (log (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (* (pow (log base) -3/2) (* (sqrt (log base)) (atan2 im re))) (pow (log base) -3/2) (* (sqrt (log base)) (atan2 im re)) (sqrt (log base)))
38.0ms
base
@inf
((* (/ -1 (log base)) (neg (atan2 im re))) (/ -1 (log base)) (log base) (neg (atan2 im re)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (atan2 im re) (pow (sqrt (/ (log base) (atan2 im re))) -2) (sqrt (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (exp (log (/ (atan2 im re) (log base)))) (log (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (* (pow (log base) -3/2) (* (sqrt (log base)) (atan2 im re))) (pow (log base) -3/2) (* (sqrt (log base)) (atan2 im re)) (sqrt (log base)))
26.0ms
im
@-inf
((* (/ -1 (log base)) (neg (atan2 im re))) (/ -1 (log base)) (log base) (neg (atan2 im re)) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ 1 (atan2 im re)) (atan2 im re) (pow (sqrt (/ (log base) (atan2 im re))) -2) (sqrt (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (exp (log (/ (atan2 im re) (log base)))) (log (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (* (pow (log base) -3/2) (* (sqrt (log base)) (atan2 im re))) (pow (log base) -3/2) (* (sqrt (log base)) (atan2 im re)) (sqrt (log base)))

simplify170.0ms (1.9%)

Memory
42.3MiB live, 271.3MiB allocated
Algorithm
egg-herbie
Rules
10 476×lower-fma.f64
10 476×lower-fma.f32
2 466×lower-*.f64
2 466×lower-*.f32
2 170×unsub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0553388
1883328
21513328
33903324
410393324
531143324
656933324
779833324
083113324
Stop Event
iter limit
node limit
Counts
516 → 516
Calls
Call 1
Inputs
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ -1 (log base))
(/ -1 (log base))
(/ -1 (log base))
(/ -1 (log base))
(log base)
(log base)
(log base)
(log base)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ (log base) (atan2 im re)))
(sqrt (/ (log base) (atan2 im re)))
(sqrt (/ (log base) (atan2 im re)))
(sqrt (/ (log base) (atan2 im re)))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(log (/ (atan2 im re) (log base)))
(log (/ (atan2 im re) (log base)))
(log (/ (atan2 im re) (log base)))
(log (/ (atan2 im re) (log base)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ 1 (pow (log base) 3)))
(sqrt (/ 1 (pow (log base) 3)))
(sqrt (/ 1 (pow (log base) 3)))
(sqrt (/ 1 (pow (log base) 3)))
(* (sqrt (log base)) (atan2 im re))
(* (sqrt (log base)) (atan2 im re))
(* (sqrt (log base)) (atan2 im re))
(* (sqrt (log base)) (atan2 im re))
(sqrt (log base))
(sqrt (log base))
(sqrt (log base))
(sqrt (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ 1 (log (/ 1 base)))
(/ 1 (log (/ 1 base)))
(/ 1 (log (/ 1 base)))
(/ 1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* (sqrt (/ (log (/ 1 base)) (atan2 im re))) (sqrt -1))
(* (sqrt (/ (log (/ 1 base)) (atan2 im re))) (sqrt -1))
(* (sqrt (/ (log (/ 1 base)) (atan2 im re))) (sqrt -1))
(* (sqrt (/ (log (/ 1 base)) (atan2 im re))) (sqrt -1))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(log (* -1 (/ (atan2 im re) (log (/ 1 base)))))
(log (* -1 (/ (atan2 im re) (log (/ 1 base)))))
(log (* -1 (/ (atan2 im re) (log (/ 1 base)))))
(log (* -1 (/ (atan2 im re) (log (/ 1 base)))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* (sqrt (/ 1 (pow (log (/ 1 base)) 3))) (sqrt -1))
(* (sqrt (/ 1 (pow (log (/ 1 base)) 3))) (sqrt -1))
(* (sqrt (/ 1 (pow (log (/ 1 base)) 3))) (sqrt -1))
(* (sqrt (/ 1 (pow (log (/ 1 base)) 3))) (sqrt -1))
(* (sqrt (log (/ 1 base))) (* (sqrt -1) (atan2 im re)))
(* (sqrt (log (/ 1 base))) (* (sqrt -1) (atan2 im re)))
(* (sqrt (log (/ 1 base))) (* (sqrt -1) (atan2 im re)))
(* (sqrt (log (/ 1 base))) (* (sqrt -1) (atan2 im re)))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ -1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ -1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ -1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ -1 (+ (log -1) (* -1 (log (/ -1 base)))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(sqrt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(sqrt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(sqrt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(log (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(log (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(log (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(log (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)))
(sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)))
(sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)))
(sqrt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)))
(* (sqrt (+ (log -1) (* -1 (log (/ -1 base))))) (atan2 im re))
(* (sqrt (+ (log -1) (* -1 (log (/ -1 base))))) (atan2 im re))
(* (sqrt (+ (log -1) (* -1 (log (/ -1 base))))) (atan2 im re))
(* (sqrt (+ (log -1) (* -1 (log (/ -1 base))))) (atan2 im re))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ (log base) (atan2 im re)))
(sqrt (/ (log base) (atan2 im re)))
(sqrt (/ (log base) (atan2 im re)))
(sqrt (/ (log base) (atan2 im re)))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(log (/ (atan2 im re) (log base)))
(log (/ (atan2 im re) (log base)))
(log (/ (atan2 im re) (log base)))
(log (/ (atan2 im re) (log base)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (sqrt (log base)) (atan2 im re))
(* (sqrt (log base)) (atan2 im re))
(* (sqrt (log base)) (atan2 im re))
(* (sqrt (log base)) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ (log base) (atan2 im re)))
(sqrt (/ (log base) (atan2 im re)))
(sqrt (/ (log base) (atan2 im re)))
(sqrt (/ (log base) (atan2 im re)))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(log (/ (atan2 im re) (log base)))
(log (/ (atan2 im re) (log base)))
(log (/ (atan2 im re) (log base)))
(log (/ (atan2 im re) (log base)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (sqrt (log base)) (atan2 im re))
(* (sqrt (log base)) (atan2 im re))
(* (sqrt (log base)) (atan2 im re))
(* (sqrt (log base)) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ (log base) (atan2 im re)))
(sqrt (/ (log base) (atan2 im re)))
(sqrt (/ (log base) (atan2 im re)))
(sqrt (/ (log base) (atan2 im re)))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(log (/ (atan2 im re) (log base)))
(log (/ (atan2 im re) (log base)))
(log (/ (atan2 im re) (log base)))
(log (/ (atan2 im re) (log base)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (sqrt (log base)) (atan2 im re))
(* (sqrt (log base)) (atan2 im re))
(* (sqrt (log base)) (atan2 im re))
(* (sqrt (log base)) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ (log base) (atan2 im re)))
(sqrt (/ (log base) (atan2 im re)))
(sqrt (/ (log base) (atan2 im re)))
(sqrt (/ (log base) (atan2 im re)))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(log (/ (atan2 im re) (log base)))
(log (/ (atan2 im re) (log base)))
(log (/ (atan2 im re) (log base)))
(log (/ (atan2 im re) (log base)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (sqrt (log base)) (atan2 im re))
(* (sqrt (log base)) (atan2 im re))
(* (sqrt (log base)) (atan2 im re))
(* (sqrt (log base)) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ (log base) (atan2 im re)))
(sqrt (/ (log base) (atan2 im re)))
(sqrt (/ (log base) (atan2 im re)))
(sqrt (/ (log base) (atan2 im re)))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(log (/ (atan2 im re) (log base)))
(log (/ (atan2 im re) (log base)))
(log (/ (atan2 im re) (log base)))
(log (/ (atan2 im re) (log base)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (sqrt (log base)) (atan2 im re))
(* (sqrt (log base)) (atan2 im re))
(* (sqrt (log base)) (atan2 im re))
(* (sqrt (log base)) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ (log base) (atan2 im re)))
(sqrt (/ (log base) (atan2 im re)))
(sqrt (/ (log base) (atan2 im re)))
(sqrt (/ (log base) (atan2 im re)))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(log (/ (atan2 im re) (log base)))
(log (/ (atan2 im re) (log base)))
(log (/ (atan2 im re) (log base)))
(log (/ (atan2 im re) (log base)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (sqrt (log base)) (atan2 im re))
(* (sqrt (log base)) (atan2 im re))
(* (sqrt (log base)) (atan2 im re))
(* (sqrt (log base)) (atan2 im re))
Outputs
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ -1 (log base))
(/.f64 #s(literal -1 binary64) (log.f64 base))
(/ -1 (log base))
(/.f64 #s(literal -1 binary64) (log.f64 base))
(/ -1 (log base))
(/.f64 #s(literal -1 binary64) (log.f64 base))
(/ -1 (log base))
(/.f64 #s(literal -1 binary64) (log.f64 base))
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt (/ (log base) (atan2 im re)))
(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(sqrt (/ (log base) (atan2 im re)))
(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(sqrt (/ (log base) (atan2 im re)))
(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(sqrt (/ (log base) (atan2 im re)))
(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log (/ (atan2 im re) (log base)))
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log (/ (atan2 im re) (log base)))
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log (/ (atan2 im re) (log base)))
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log (/ (atan2 im re) (log base)))
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt (/ 1 (pow (log base) 3)))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)))
(sqrt (/ 1 (pow (log base) 3)))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)))
(sqrt (/ 1 (pow (log base) 3)))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)))
(sqrt (/ 1 (pow (log base) 3)))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 3 binary64)))
(* (sqrt (log base)) (atan2 im re))
(*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))
(* (sqrt (log base)) (atan2 im re))
(*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))
(* (sqrt (log base)) (atan2 im re))
(*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))
(* (sqrt (log base)) (atan2 im re))
(*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))
(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))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ 1 (log (/ 1 base)))
(/.f64 #s(literal -1 binary64) (log.f64 base))
(/ 1 (log (/ 1 base)))
(/.f64 #s(literal -1 binary64) (log.f64 base))
(/ 1 (log (/ 1 base)))
(/.f64 #s(literal -1 binary64) (log.f64 base))
(/ 1 (log (/ 1 base)))
(/.f64 #s(literal -1 binary64) (log.f64 base))
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (sqrt (/ (log (/ 1 base)) (atan2 im re))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(* (sqrt (/ (log (/ 1 base)) (atan2 im re))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(* (sqrt (/ (log (/ 1 base)) (atan2 im re))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(* (sqrt (/ (log (/ 1 base)) (atan2 im re))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log (* -1 (/ (atan2 im re) (log (/ 1 base)))))
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log (* -1 (/ (atan2 im re) (log (/ 1 base)))))
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log (* -1 (/ (atan2 im re) (log (/ 1 base)))))
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log (* -1 (/ (atan2 im re) (log (/ 1 base)))))
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (sqrt (/ 1 (pow (log (/ 1 base)) 3))) (sqrt -1))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (/ 1 (pow (log (/ 1 base)) 3))) (sqrt -1))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (/ 1 (pow (log (/ 1 base)) 3))) (sqrt -1))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (/ 1 (pow (log (/ 1 base)) 3))) (sqrt -1))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (log (/ 1 base))) (* (sqrt -1) (atan2 im re)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (atan2.f64 im re)) (sqrt.f64 (neg.f64 (log.f64 base))))
(* (sqrt (log (/ 1 base))) (* (sqrt -1) (atan2 im re)))
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(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (sqrt (log base)) (atan2 im re))
(*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))
(* (sqrt (log base)) (atan2 im re))
(*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))
(* (sqrt (log base)) (atan2 im re))
(*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))
(* (sqrt (log base)) (atan2 im re))
(*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))

rewrite230.0ms (2.6%)

Memory
-40.9MiB live, 268.8MiB allocated
Rules
2 244×lower-*.f32
2 236×lower-*.f64
1 636×lower-/.f32
1 626×lower-/.f64
1 616×lower-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025114
043113
111195
241895
3248093
0869893
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 806
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(/.f64 #s(literal -1 binary64) (log.f64 base))
(log.f64 base)
(neg.f64 (atan2.f64 im re))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(atan2.f64 im re)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64))
(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
(pow.f64 (log.f64 base) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))
(sqrt.f64 (log.f64 base))
Outputs
(*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1/4 binary64)))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1/4 binary64)))))
(*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (sqrt.f64 (log.f64 base)))))
(*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (sqrt.f64 (log.f64 base)))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -3/8 binary64))) (pow.f64 (log.f64 base) #s(literal -3/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 1/4 binary64))) (pow.f64 (log.f64 base) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -3/4 binary64)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -3/4 binary64))) (pow.f64 (log.f64 base) #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -3/4 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (atan2.f64 im re)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64)))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (atan2.f64 im re)))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) #s(literal -1 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (atan2.f64 im re)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) (sqrt.f64 (atan2.f64 im re))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -3/4 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (atan2.f64 im re)) (neg.f64 (sqrt.f64 (log.f64 base))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (atan2.f64 im re)) (sqrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (atan2.f64 im re))))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/8 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -3/8 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (atan2.f64 im re))))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (atan2.f64 im re)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (atan2.f64 im re)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (atan2.f64 im re)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (atan2.f64 im re))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (atan2.f64 im re)))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (neg.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (atan2.f64 im re)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) (pow.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (log.f64 (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (log.f64 (log.f64 base)) (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 (atan2.f64 im re)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64)) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -2 binary64)) (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1/4 binary64)) #s(literal -4 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 0 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base))))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) (atan2.f64 im re))
(/.f64 (neg.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 0 binary64) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (atan2.f64 im re))
(/.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)))) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/.f64 (exp.f64 (+.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))) (exp.f64 (/.f64 (pow.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 (atan2.f64 im re)) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 base)) (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 (atan2.f64 im re)) #s(literal 2 binary64))))) (exp.f64 (/.f64 (pow.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 base)) (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 (atan2.f64 im re)) #s(literal 2 binary64))))))
(/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (neg.f64 (sqrt.f64 (log.f64 base))))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (neg.f64 (sqrt.f64 (atan2.f64 im re))))))
(/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (sqrt.f64 (log.f64 base)))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (sqrt.f64 (atan2.f64 im re)))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (atan2.f64 im re))
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(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (atan2.f64 im re))
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(*.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (log.f64 base)) #s(literal -1 binary64))) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)))
(/.f64 (*.f64 (sqrt.f64 (log.f64 base)) #s(literal -1 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (log.f64 base)))) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)))
(/.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)))
(/.f64 (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)))
(neg.f64 (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) (pow.f64 (log.f64 base) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (log.f64 base) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (sqrt.f64 (log.f64 base)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 base) (log.f64 base) (*.f64 #s(literal 0 binary64) (log.f64 base))))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (sqrt.f64 (log.f64 base))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(sqrt.f64 (log.f64 base))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 base))))

eval732.0ms (8.3%)

Memory
-74.2MiB live, 572.8MiB allocated
Compiler

Compiled 45 662 to 4 603 computations (89.9% saved)

prune331.0ms (3.7%)

Memory
-10.0MiB live, 307.7MiB allocated
Pruning

28 alts after pruning (21 fresh and 7 done)

PrunedKeptTotal
New2 95442 958
Fresh21719
Picked145
Done033
Total2 957282 985
Accuracy
100.0%
Counts
2 985 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
43.8%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64))
83.0%
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base)))
51.7%
(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base))
47.6%
(/.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
99.1%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))))
47.6%
(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
47.6%
(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
47.3%
(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
47.6%
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
98.9%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
99.3%
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
47.6%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re)))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))) (/.f64 #s(literal -1 binary64) (log.f64 base))))
98.7%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
98.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
52.0%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)))
47.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
82.6%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (atan2.f64 im re)))
98.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
55.7%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (atan2.f64 im re)))
99.3%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
99.4%
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
99.2%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
99.3%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
47.7%
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
Compiler

Compiled 539 to 478 computations (11.3% saved)

simplify156.0ms (1.8%)

Memory
27.7MiB live, 216.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))
cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)))
cost-diff6080
(*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base))
cost-diff6464
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff0
(log.f64 base)
cost-diff0
(pow.f64 (log.f64 base) #s(literal 2 binary64))
cost-diff0
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
cost-diff0
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (atan2.f64 im re)))
cost-diff0
(atan2.f64 im re)
cost-diff0
(/.f64 (atan2.f64 im re) (log.f64 base))
cost-diff0
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
cost-diff7104
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
cost-diff0
(atan2.f64 im re)
cost-diff0
(/.f64 (atan2.f64 im re) (log.f64 base))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
cost-diff0
(*.f64 (log.f64 base) (atan2.f64 im re))
cost-diff0
(log.f64 base)
cost-diff0
(pow.f64 (log.f64 base) #s(literal -2 binary64))
cost-diff12800
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
Rules
7 508×lower-*.f32
7 500×lower-*.f64
3 146×lower-fma.f64
3 146×lower-fma.f32
1 810×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025174
043184
165164
2105148
3147148
4308148
5736148
61203148
72480148
83152148
94118148
105757148
08051148
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log.f64 base)
base
#s(literal -2 binary64)
(*.f64 (log.f64 base) (atan2.f64 im re))
(atan2.f64 im re)
im
re
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
#s(literal 2 binary64)
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (atan2.f64 im re)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(log.f64 base)
base
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(neg.f64 (atan2.f64 im re))
(atan2.f64 im re)
im
re
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)))
#s(literal 1 binary64)
(*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))
(atan2.f64 im re)
im
re
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(log.f64 base)
base
Outputs
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log.f64 base)
base
#s(literal -2 binary64)
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
#s(literal 2 binary64)
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (atan2.f64 im re)))
(*.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(log.f64 base)
base
#s(literal 2 binary64)
#s(literal -1/2 binary64)
(neg.f64 (atan2.f64 im re))
(atan2.f64 im re)
im
re
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
#s(literal 1 binary64)
(*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base))
(/.f64 (log.f64 base) (atan2.f64 im re))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (atan2.f64 im re) #s(literal -1 binary64))
(pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))
(atan2.f64 im re)
im
re
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(log.f64 base)
base

localize162.0ms (1.8%)

Memory
-32.1MiB live, 181.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.04296875
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)))
accuracy0.0546875
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy0.06640625
(*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base))
accuracy0.9446910792139096
(pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))
accuracy0
(log.f64 base)
accuracy0.015625
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
accuracy0.07650375976844201
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (atan2.f64 im re)))
accuracy0.08984375
(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy0
(log.f64 base)
accuracy0.05078125
(/.f64 (atan2.f64 im re) (log.f64 base))
accuracy0.11166000976844201
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
accuracy0.9598562753813427
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
accuracy0
(log.f64 base)
accuracy0.04296875
(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
accuracy0.04296875
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
accuracy0.05078125
(/.f64 (atan2.f64 im re) (log.f64 base))
accuracy0
(log.f64 base)
accuracy0.07421875
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
accuracy0.078125
(*.f64 (log.f64 base) (atan2.f64 im re))
accuracy0.12337875976844202
(pow.f64 (log.f64 base) #s(literal -2 binary64))
Samples
68.0ms202×0invalid
12.0ms54×0valid
Compiler

Compiled 176 to 27 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-pow: 12.0ms (31.6% of total)
ival-pow2: 6.0ms (15.8% of total)
ival-div: 5.0ms (13.2% of total)
ival-mult: 5.0ms (13.2% of total)
ival-log: 4.0ms (10.5% of total)
ival-atan2: 2.0ms (5.3% of total)
ival-sqrt: 2.0ms (5.3% of total)
ival-neg: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series122.0ms (1.4%)

Memory
29.0MiB live, 219.3MiB allocated
Counts
17 → 480
Calls
Call 1
Inputs
#s(alt (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (patch (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.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 (log.f64 base) (patch (log.f64 base) #<representation:binary64>) () ())
#s(alt (*.f64 (log.f64 base) (atan2.f64 im re)) (patch (*.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))) #<representation:binary64>) () ())
#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())
#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation:binary64>) () ())
#s(alt (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (patch (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #<representation:binary64>) () ())
#s(alt (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (atan2.f64 im re))) (patch (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (atan2.f64 im re))) #<representation:binary64>) () ())
#s(alt (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 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>) () ())
#s(alt (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation:binary64>) () ())
#s(alt (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)) (patch (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base))) #<representation:binary64>) () ())
#s(alt (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #<representation:binary64>) () ())
Outputs
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (patch (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (patch (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (patch (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (patch (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (pow (log base) 2)) (taylor 0 base) (#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 (/ 1 (pow (log base) 2)) (taylor 0 base) (#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 (/ 1 (pow (log base) 2)) (taylor 0 base) (#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 (/ 1 (pow (log base) 2)) (taylor 0 base) (#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 (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 base) (atan2 im re)) (taylor 0 base) (#s(alt (*.f64 (log.f64 base) (atan2.f64 im re)) (patch (*.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (*.f64 (log.f64 base) (atan2.f64 im re)) (patch (*.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (*.f64 (log.f64 base) (atan2.f64 im re)) (patch (*.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (*.f64 (log.f64 base) (atan2.f64 im re)) (patch (*.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))) #<representation:binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))) #<representation:binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))) #<representation:binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))) #<representation:binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (sqrt (/ (atan2 im re) (log base))) (taylor 0 base) (#s(alt (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (patch (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #<representation:binary64>) () ())) ())
#s(alt (sqrt (/ (atan2 im re) (log base))) (taylor 0 base) (#s(alt (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (patch (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #<representation:binary64>) () ())) ())
#s(alt (sqrt (/ (atan2 im re) (log base))) (taylor 0 base) (#s(alt (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (patch (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #<representation:binary64>) () ())) ())
#s(alt (sqrt (/ (atan2 im re) (log base))) (taylor 0 base) (#s(alt (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (patch (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (atan2 im re) (log base))) (taylor 0 base) (#s(alt (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (atan2.f64 im re))) (patch (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (atan2 im re) (log base))) (taylor 0 base) (#s(alt (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (atan2.f64 im re))) (patch (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (atan2 im re) (log base))) (taylor 0 base) (#s(alt (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (atan2.f64 im re))) (patch (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (atan2 im re) (log base))) (taylor 0 base) (#s(alt (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (atan2.f64 im re))) (patch (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (log base)) (taylor 0 base) (#s(alt (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (log base)) (taylor 0 base) (#s(alt (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (log base)) (taylor 0 base) (#s(alt (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (log base)) (taylor 0 base) (#s(alt (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (patch (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#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 (pow (log base) 2) (taylor 0 base) (#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 (pow (log base) 2) (taylor 0 base) (#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 (pow (log base) 2) (taylor 0 base) (#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 (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)) (patch (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)) (patch (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)) (patch (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)) (patch (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base))) #<representation:binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (atan2 im re) (log (/ 1 base)))) (taylor inf base) (#s(alt (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (patch (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (atan2 im re) (log (/ 1 base)))) (taylor inf base) (#s(alt (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (patch (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (atan2 im re) (log (/ 1 base)))) (taylor inf base) (#s(alt (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (patch (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (atan2 im re) (log (/ 1 base)))) (taylor inf base) (#s(alt (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (patch (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (pow (log (/ 1 base)) 2)) (taylor inf base) (#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 (/ 1 (pow (log (/ 1 base)) 2)) (taylor inf base) (#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 (/ 1 (pow (log (/ 1 base)) 2)) (taylor inf base) (#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 (/ 1 (pow (log (/ 1 base)) 2)) (taylor inf base) (#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 (* -1 (log (/ 1 base))) (taylor inf base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation:binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 base))) (taylor inf base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation:binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 base))) (taylor inf base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation:binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 base))) (taylor inf base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (log (/ 1 base)) (atan2 im re))) (taylor inf base) (#s(alt (*.f64 (log.f64 base) (atan2.f64 im re)) (patch (*.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (log (/ 1 base)) (atan2 im re))) (taylor inf base) (#s(alt (*.f64 (log.f64 base) (atan2.f64 im re)) (patch (*.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (log (/ 1 base)) (atan2 im re))) (taylor inf base) (#s(alt (*.f64 (log.f64 base) (atan2.f64 im re)) (patch (*.f64 (log.f64 base) (atan2.f64 im re)) #<representation:binary64>) () ())) ())
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#s(alt (sqrt (/ 1 (atan2 im re))) (taylor -inf im) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (sqrt (/ 1 (atan2 im re))) (taylor -inf im) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #<representation:binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
35.0ms
base
@inf
((* (pow (log base) -2) (* (log base) (atan2 im re))) (pow (log base) -2) (log base) (* (log base) (atan2 im re)) (/ 1 (/ 1 (/ (atan2 im re) (log base)))) (/ 1 (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (atan2 im re) (pow (sqrt (/ (atan2 im re) (log base))) 2) (sqrt (/ (atan2 im re) (log base))) (* (pow (pow (log base) 2) -1/2) (neg (atan2 im re))) (pow (pow (log base) 2) -1/2) (pow (log base) 2) (pow (pow (atan2 im re) -1/2) 2) (* (pow (pow (atan2 im re) -1/2) 2) (log base)) (/ 1 (* (pow (pow (atan2 im re) -1/2) 2) (log base))) (pow (atan2 im re) -1/2))
13.0ms
re
@inf
((* (pow (log base) -2) (* (log base) (atan2 im re))) (pow (log base) -2) (log base) (* (log base) (atan2 im re)) (/ 1 (/ 1 (/ (atan2 im re) (log base)))) (/ 1 (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (atan2 im re) (pow (sqrt (/ (atan2 im re) (log base))) 2) (sqrt (/ (atan2 im re) (log base))) (* (pow (pow (log base) 2) -1/2) (neg (atan2 im re))) (pow (pow (log base) 2) -1/2) (pow (log base) 2) (pow (pow (atan2 im re) -1/2) 2) (* (pow (pow (atan2 im re) -1/2) 2) (log base)) (/ 1 (* (pow (pow (atan2 im re) -1/2) 2) (log base))) (pow (atan2 im re) -1/2))
11.0ms
base
@-inf
((* (pow (log base) -2) (* (log base) (atan2 im re))) (pow (log base) -2) (log base) (* (log base) (atan2 im re)) (/ 1 (/ 1 (/ (atan2 im re) (log base)))) (/ 1 (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (atan2 im re) (pow (sqrt (/ (atan2 im re) (log base))) 2) (sqrt (/ (atan2 im re) (log base))) (* (pow (pow (log base) 2) -1/2) (neg (atan2 im re))) (pow (pow (log base) 2) -1/2) (pow (log base) 2) (pow (pow (atan2 im re) -1/2) 2) (* (pow (pow (atan2 im re) -1/2) 2) (log base)) (/ 1 (* (pow (pow (atan2 im re) -1/2) 2) (log base))) (pow (atan2 im re) -1/2))
9.0ms
im
@-inf
((* (pow (log base) -2) (* (log base) (atan2 im re))) (pow (log base) -2) (log base) (* (log base) (atan2 im re)) (/ 1 (/ 1 (/ (atan2 im re) (log base)))) (/ 1 (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (atan2 im re) (pow (sqrt (/ (atan2 im re) (log base))) 2) (sqrt (/ (atan2 im re) (log base))) (* (pow (pow (log base) 2) -1/2) (neg (atan2 im re))) (pow (pow (log base) 2) -1/2) (pow (log base) 2) (pow (pow (atan2 im re) -1/2) 2) (* (pow (pow (atan2 im re) -1/2) 2) (log base)) (/ 1 (* (pow (pow (atan2 im re) -1/2) 2) (log base))) (pow (atan2 im re) -1/2))
9.0ms
im
@0
((* (pow (log base) -2) (* (log base) (atan2 im re))) (pow (log base) -2) (log base) (* (log base) (atan2 im re)) (/ 1 (/ 1 (/ (atan2 im re) (log base)))) (/ 1 (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (atan2 im re) (pow (sqrt (/ (atan2 im re) (log base))) 2) (sqrt (/ (atan2 im re) (log base))) (* (pow (pow (log base) 2) -1/2) (neg (atan2 im re))) (pow (pow (log base) 2) -1/2) (pow (log base) 2) (pow (pow (atan2 im re) -1/2) 2) (* (pow (pow (atan2 im re) -1/2) 2) (log base)) (/ 1 (* (pow (pow (atan2 im re) -1/2) 2) (log base))) (pow (atan2 im re) -1/2))

simplify141.0ms (1.6%)

Memory
-2.2MiB live, 115.5MiB allocated
Algorithm
egg-herbie
Rules
2 256×lower-fma.f64
2 256×lower-fma.f32
948×lower-*.f64
948×lower-*.f32
476×lower-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0463112
1773056
21313056
32883052
46953052
514393052
622413052
729483052
832693052
933373052
1033403052
1133403052
1233903052
1334063052
034063052
Stop Event
iter limit
saturated
Counts
480 → 480
Calls
Call 1
Inputs
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(log base)
(log base)
(log base)
(log base)
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))
(* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))
(* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))
(* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))
(/ (atan2 im re) (log (/ 1 base)))
(/ (atan2 im re) (log (/ 1 base)))
(/ (atan2 im re) (log (/ 1 base)))
(/ (atan2 im re) (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (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 (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(* -1 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(* -1 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(* -1 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(* -1 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -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 -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ 1 (atan2 im re)))
(sqrt (/ 1 (atan2 im re)))
(sqrt (/ 1 (atan2 im re)))
(sqrt (/ 1 (atan2 im re)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ 1 (atan2 im re)))
(sqrt (/ 1 (atan2 im re)))
(sqrt (/ 1 (atan2 im re)))
(sqrt (/ 1 (atan2 im re)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ 1 (atan2 im re)))
(sqrt (/ 1 (atan2 im re)))
(sqrt (/ 1 (atan2 im re)))
(sqrt (/ 1 (atan2 im re)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ 1 (atan2 im re)))
(sqrt (/ 1 (atan2 im re)))
(sqrt (/ 1 (atan2 im re)))
(sqrt (/ 1 (atan2 im re)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ 1 (atan2 im re)))
(sqrt (/ 1 (atan2 im re)))
(sqrt (/ 1 (atan2 im re)))
(sqrt (/ 1 (atan2 im re)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ 1 (atan2 im re)))
(sqrt (/ 1 (atan2 im re)))
(sqrt (/ 1 (atan2 im re)))
(sqrt (/ 1 (atan2 im re)))
Outputs
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ 1 (pow (log base) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ 1 (pow (log base) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ 1 (pow (log base) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ 1 (pow (log base) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
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(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(* -1 (/ (atan2 im re) (log base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(* -1 (/ (atan2 im re) (log base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(* -1 (/ (atan2 im re) (log base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt (/ 1 (atan2 im re)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(sqrt (/ 1 (atan2 im re)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(sqrt (/ 1 (atan2 im re)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(sqrt (/ 1 (atan2 im re)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt (/ (atan2 im re) (log base)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(* -1 (/ (atan2 im re) (log base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(* -1 (/ (atan2 im re) (log base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(* -1 (/ (atan2 im re) (log base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(* -1 (/ (atan2 im re) (log base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt (/ 1 (atan2 im re)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(sqrt (/ 1 (atan2 im re)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(sqrt (/ 1 (atan2 im re)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(sqrt (/ 1 (atan2 im re)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))

rewrite195.0ms (2.2%)

Memory
7.5MiB live, 160.9MiB allocated
Rules
1 798×lower-*.f32
1 790×lower-*.f64
860×lower-/.f32
854×lower-/.f64
630×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025121
043120
113289
249389
0356389
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
17 → 1 380
Calls
Call 1
Inputs
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log.f64 base)
(*.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (atan2.f64 im re)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)))
(pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))
Outputs
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (neg.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64))) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (log.f64 base))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (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 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
(*.f64 (neg.f64 (neg.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (neg.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))))
(*.f64 (/.f64 (atan2.f64 im re) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -3/4 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/4 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -3/4 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -3/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -3/4 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -3/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1/4 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -3/4 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/4 binary64))) (/.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal -3/4 binary64))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal -3/4 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -3/4 binary64))) (/.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal -1/4 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -3/4 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (/.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (log.f64 base)) #s(literal -1 binary64)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (pow.f64 (neg.f64 (atan2.f64 im re)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 1 binary64)) (log.f64 base))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (neg.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (atan2.f64 im re) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (neg.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (log.f64 base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (log.f64 base)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
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(exp.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64) (neg.f64 (log.f64 (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/8 binary64))) (pow.f64 (atan2.f64 im re) #s(literal -1/8 binary64)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/8 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/4 binary64)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (atan2.f64 im re)))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(exp.f64 (log.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))

eval373.0ms (4.2%)

Memory
15.8MiB live, 665.3MiB allocated
Compiler

Compiled 38 722 to 3 483 computations (91% saved)

prune128.0ms (1.4%)

Memory
-55.0MiB live, 279.4MiB allocated
Pruning

29 alts after pruning (18 fresh and 11 done)

PrunedKeptTotal
New2 63752 642
Fresh31316
Picked145
Done077
Total2 641292 670
Accuracy
100.0%
Counts
2 670 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.8%
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
25.8%
(pow.f64 (/.f64 (sqrt.f64 (neg.f64 (atan2.f64 im re))) (sqrt.f64 (neg.f64 (log.f64 base)))) #s(literal 2 binary64))
43.7%
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal 2 binary64))
48.4%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
43.8%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64))
51.7%
(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base))
47.6%
(/.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
99.1%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))))
47.6%
(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
47.6%
(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
47.3%
(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
47.6%
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
98.9%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
99.3%
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
47.6%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re)))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))) (/.f64 #s(literal -1 binary64) (log.f64 base))))
98.7%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
98.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
48.9%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(approx (pow (atan2 im re) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) #s(literal 2 binary64)) (log.f64 base)))
47.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
98.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
55.7%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (atan2.f64 im re)))
99.3%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
99.4%
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
99.2%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
47.3%
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)))
47.7%
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
Compiler

Compiled 915 to 436 computations (52.3% saved)

regimes69.0ms (0.8%)

Memory
15.8MiB live, 137.5MiB allocated
Accuracy

Total -63.7b remaining (-20380%)

Threshold costs -63.7b (-20380%)

Counts
50 → 1
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)))
(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re)))
(/.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (neg.f64 (atan2.f64 im re))) (sqrt.f64 (neg.f64 (log.f64 base)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(approx (pow (atan2 im re) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) #s(literal 2 binary64)) (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (atan2.f64 im re)))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (neg.f64 (atan2.f64 im re)))))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (atan2.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 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
Calls

5 calls:

14.0ms
im
14.0ms
(log.f64 base)
14.0ms
base
13.0ms
re
12.0ms
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Results
AccuracySegmentsBranch
99.5%1re
99.5%1im
99.5%1base
99.5%1(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.5%1(log.f64 base)
Compiler

Compiled 33 to 31 computations (6.1% saved)

simplify47.0ms (0.5%)

Memory
3.2MiB live, 42.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))

soundness128.0ms (1.4%)

Memory
-33.1MiB live, 44.0MiB allocated
Rules
5 482×lower-fma.f64
5 482×lower-fma.f32
4 232×lower-*.f32
4 224×lower-*.f64
3 170×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01875
03343
110937
272432
3704532
0848828
Stop Event
fuel
iter limit
node limit
iter limit
Compiler

Compiled 40 to 25 computations (37.5% saved)

preprocess20.0ms (0.2%)

Memory
31.0MiB live, 31.0MiB allocated
Compiler

Compiled 68 to 48 computations (29.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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