math.log/2 on complex, real part

Time bar (total: 14.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze194.0ms (1.3%)

Memory
11.9MiB live, 237.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%49.9%0.1%0%49.9%0%4
0%0%49.9%0.1%0%49.9%0%5
0%0%49.9%0.1%0%49.9%0%6
9.4%4.7%45.2%0.1%0%49.9%0%7
17.2%8.6%41.3%0.1%0%49.9%0%8
27.3%13.7%36.3%0.1%0%49.9%0%9
41%20.5%29.4%0.1%0%49.9%0%10
48.6%24.3%25.6%0.1%0%49.9%0%11
57.1%28.5%21.4%0.1%0%49.9%0%12
Compiler

Compiled 30 to 17 computations (43.3% saved)

sample1.6s (10.8%)

Memory
34.9MiB live, 2 515.7MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 849.0ms
ival-log: 237.0ms (27.9% of total)
ival-mult: 197.0ms (23.2% of total)
ival-hypot: 195.0ms (23% of total)
ival-add: 91.0ms (10.7% of total)
ival-atan2: 68.0ms (8% of total)
ival-div: 47.0ms (5.5% 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

explain504.0ms (3.4%)

Memory
-55.3MiB live, 467.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1340-0-(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
00-0-(log.f64 base)
00-0-(*.f64 re re)
00-0-(atan2.f64 im re)
00-0-im
00-0-(+.f64 (*.f64 re re) (*.f64 im im))
00-0-re
00-0-(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
00-0-(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64)))
00-0-(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
00-0-#s(literal 0 binary64)
00-0-(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
00-0-(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
00-0-(*.f64 (log.f64 base) (log.f64 base))
00-0-(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
00-0-(*.f64 im im)
00-0-base
00-0-(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))oflow-rescue1200
↳(+.f64 (*.f64 re re) (*.f64 im im))overflow120
↳(*.f64 re re)overflow68
↳(*.f64 im im)overflow74
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))uflow-rescue140
↳(+.f64 (*.f64 re re) (*.f64 im im))underflow14
↳(*.f64 re re)underflow52
↳(*.f64 im im)underflow64
Confusion
Predicted +Predicted -
+1340
-0122
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13400
-00122
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0122
1134
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
143.0ms512×0valid
Compiler

Compiled 273 to 58 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-log: 28.0ms (41.3% of total)
ival-mult: 15.0ms (22.1% of total)
ival-add: 9.0ms (13.3% of total)
ival-hypot: 8.0ms (11.8% of total)
ival-atan2: 4.0ms (5.9% of total)
ival-div: 3.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess231.0ms (1.6%)

Memory
29.0MiB live, 176.2MiB allocated
Algorithm
1×egg-herbie
Rules
6 840×lower-*.f32
6 832×lower-*.f64
3 028×cube-prod
2 360×lower-/.f32
2 358×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

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

(abs im)

(abs re)

(sort re im)

Compiler

Compiled 31 to 18 computations (41.9% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶48.9%
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify207.0ms (1.4%)

Memory
-14.9MiB live, 153.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize60.0ms (0.4%)

Memory
6.4MiB live, 45.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.3561325195368841
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
accuracy0.37337875976844204
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
accuracy0.5543937988422102
(*.f64 (log.f64 base) (log.f64 base))
accuracy31.201675537936495
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Samples
49.0ms256×0valid
Compiler

Compiled 121 to 20 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-div: 15.0ms (39.5% of total)
ival-mult: 7.0ms (18.4% of total)
ival-log: 6.0ms (15.8% of total)
ival-hypot: 4.0ms (10.5% of total)
ival-add: 3.0ms (7.9% of total)
ival-atan2: 2.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series211.0ms (1.4%)

Memory
-19.7MiB live, 179.7MiB allocated
Counts
7 → 168
Calls
Call 1
Inputs
#s(alt (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (atan2.f64 im re) #s(literal 0 binary64)) (patch (*.f64 (atan2.f64 im re) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (patch (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (patch (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 base) (log.f64 base)) (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())
Outputs
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (patch (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (patch (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (patch (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (patch (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (*.f64 (log.f64 base) (log.f64 base)) (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (*.f64 (log.f64 base) (log.f64 base)) (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (*.f64 (log.f64 base) (log.f64 base)) (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (*.f64 (log.f64 base) (log.f64 base)) (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
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#s(alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
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#s(alt 0 (taylor -inf im) (#s(alt (*.f64 (atan2.f64 im re) #s(literal 0 binary64)) (patch (*.f64 (atan2.f64 im re) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor -inf im) (#s(alt (*.f64 (atan2.f64 im re) #s(literal 0 binary64)) (patch (*.f64 (atan2.f64 im re) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (log base) (log (/ -1 im)))) (taylor -inf im) (#s(alt (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (patch (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) (taylor -inf im) (#s(alt (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (patch (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))) (taylor -inf im) (#s(alt (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (patch (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) (taylor -inf im) (#s(alt (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (patch (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (log base) (log (/ -1 im)))) (taylor -inf im) (#s(alt (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) (taylor -inf im) (#s(alt (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))) (taylor -inf im) (#s(alt (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) (taylor -inf im) (#s(alt (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (patch (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
107.0ms
base
@0
((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
39.0ms
base
@-inf
((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
32.0ms
base
@inf
((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
2.0ms
re
@0
((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
2.0ms
im
@0
((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))

simplify178.0ms (1.2%)

Memory
29.4MiB live, 104.6MiB allocated
Algorithm
1×egg-herbie
Rules
12 210×lower-fma.f64
12 210×lower-fma.f32
4 836×lower-*.f64
4 836×lower-*.f32
3 926×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02992912
18402860
226412828
363302818
080952516
Stop Event
1×iter limit
1×node limit
Counts
168 → 164
Calls
Call 1
Inputs
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
0
0
0
0
(* (log base) (log im))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
(* (log base) (log im))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
0
0
0
0
(* -1 (* (log base) (log (/ 1 re))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* (log base) (log (/ 1 re))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
0
0
0
0
(* -1 (* (log base) (log (/ -1 re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
(* -1 (* (log base) (log (/ -1 re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
0
0
0
0
(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
0
0
0
0
(* -1 (* (log base) (log (/ 1 im))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* (log base) (log (/ 1 im))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
0
0
0
0
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
Outputs
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (*.f64 (log.f64 base) im) im)) re (/.f64 (log.f64 im) (log.f64 base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 re re) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (log.f64 base))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) im) im))) re) re (/.f64 (log.f64 im) (log.f64 base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) re) (/.f64 re (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (log.f64 base)))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) im) im))) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 base)))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 re (/.f64 re (*.f64 im im))) (*.f64 (log.f64 im) (log.f64 base)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 base)) re) (*.f64 (*.f64 im im) (*.f64 im im))) re (*.f64 (log.f64 base) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))) (*.f64 re re) (*.f64 (log.f64 im) (log.f64 base)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (log.f64 base) re) re) (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 base)) (*.f64 (*.f64 im im) (*.f64 im im)))) (*.f64 re re) (*.f64 (log.f64 base) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))) (*.f64 re re) (*.f64 (log.f64 im) (log.f64 base)))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re re) im)
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) re) (/.f64 re (*.f64 (*.f64 im im) im)) (/.f64 #s(literal 1/2 binary64) im)) (*.f64 re re) im)
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) re) (/.f64 re (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 im im) im))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) im)) (*.f64 re re) im)
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 re (/.f64 re (*.f64 im im))) (*.f64 (log.f64 im) (log.f64 base)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 base)) re) (*.f64 (*.f64 im im) (*.f64 im im))) re (*.f64 (log.f64 base) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))) (*.f64 re re) (*.f64 (log.f64 im) (log.f64 base)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (log.f64 base) re) re) (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 base)) (*.f64 (*.f64 im im) (*.f64 im im)))) (*.f64 re re) (*.f64 (log.f64 base) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))) (*.f64 re re) (*.f64 (log.f64 im) (log.f64 base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(/.f64 (log.f64 re) (log.f64 base))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (*.f64 (log.f64 base) re) re)) im (/.f64 (log.f64 re) (log.f64 base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 im im) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (log.f64 base))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re))) (*.f64 im im) (/.f64 (log.f64 re) (log.f64 base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 120 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base))) (fma.f64 (fma.f64 (/.f64 (*.f64 im im) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (log.f64 base))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re))) (*.f64 im im) (/.f64 (log.f64 re) (log.f64 base))))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* -1 (* (log base) (log (/ 1 re))))
(*.f64 (log.f64 re) (log.f64 base))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 im (/.f64 im (*.f64 re re))) (*.f64 (log.f64 re) (log.f64 base)))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) im) (*.f64 re re)) im (fma.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re))) (*.f64 (log.f64 re) (log.f64 base))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(fma.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re))) (fma.f64 (*.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 im (/.f64 im (*.f64 re re))) (*.f64 (log.f64 re) (log.f64 base)))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(fma.f64 (*.f64 (/.f64 (*.f64 im im) re) #s(literal 1/2 binary64)) #s(literal 1 binary64) re)
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 im (*.f64 re re)) #s(literal 1 binary64))) re)
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 im (*.f64 re re)) #s(literal 1 binary64)))) re)
(* -1 (* (log base) (log (/ 1 re))))
(*.f64 (log.f64 re) (log.f64 base))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 im (/.f64 im (*.f64 re re))) (*.f64 (log.f64 re) (log.f64 base)))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
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#s(literal 0 binary64)
(* -1 (* (log base) (log (/ -1 im))))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 re (/.f64 re (*.f64 im im))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 re (/.f64 re (*.f64 im im))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 re (/.f64 re (*.f64 im im))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))))
(* -1 im)
(neg.f64 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) #s(literal 1 binary64) im))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(*.f64 (neg.f64 im) (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) re) (/.f64 re (*.f64 im im)) #s(literal 1 binary64))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(*.f64 (neg.f64 im) (fma.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) re) (/.f64 re (*.f64 im im)) #s(literal 1 binary64)))))
(* -1 (* (log base) (log (/ -1 im))))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 re (/.f64 re (*.f64 im im))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 re (/.f64 re (*.f64 im im))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 re (/.f64 re (*.f64 im im))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))))

rewrite2.5s (16.6%)

Memory
-16.3MiB live, 221.3MiB allocated
Rules
5 018×lower-fma.f64
5 018×lower-fma.f32
3 884×lower-*.f32
3 876×lower-*.f64
2 884×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

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

eval295.0ms (2%)

Memory
55.4MiB live, 469.3MiB allocated
Compiler

Compiled 69 932 to 3 220 computations (95.4% saved)

prune285.0ms (1.9%)

Memory
-23.4MiB live, 616.4MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New1 639171 656
Fresh000
Picked101
Done000
Total1 640171 657
Accuracy
99.8%
Counts
1 657 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶48.9%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))))
48.9%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))))
▶99.2%
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶98.9%
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
48.9%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))))
47.3%
(*.f64 (pow.f64 (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))))
48.9%
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re)))) (pow.f64 (log.f64 base) #s(literal -6 binary64))))
49.0%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re)))))
48.9%
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64))))
48.9%
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
47.2%
(*.f64 (*.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)))))
48.9%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64))) (log.f64 base))
48.9%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)))
48.9%
(*.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
48.9%
(*.f64 (log.f64 base) (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
▶49.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))
▶99.2%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
Compiler

Compiled 756 to 460 computations (39.2% saved)

simplify96.0ms (0.6%)

Memory
10.4MiB live, 89.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff320
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
cost-diff5120
(hypot.f64 re im)
cost-diff6784
(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
cost-diff13440
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
cost-diff0
(log.f64 base)
cost-diff0
(pow.f64 (log.f64 base) #s(literal -2 binary64))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re)))))
cost-diff13568
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))))
cost-diff0
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base)))
cost-diff0
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
cost-diff192
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
cost-diff320
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
cost-diff0
(sqrt.f64 (fma.f64 re re (*.f64 im im)))
cost-diff0
(log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
cost-diff0
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
cost-diff0
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))
cost-diff0
(log.f64 base)
cost-diff0
(log.f64 im)
cost-diff0
(/.f64 (log.f64 im) (log.f64 base))
cost-diff0
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
Rules
3 152×lower-*.f32
3 138×lower-*.f64
1 872×lower-/.f32
1 860×lower-/.f64
1 806×associate-*r/
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
052318
083272
1103256
2137253
3221245
4343239
5548239
61859239
72608239
82656239
92696239
102777239
112909239
125854239
137117239
147625239
08027239
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
(sqrt.f64 (fma.f64 re re (*.f64 im im)))
(fma.f64 re re (*.f64 im im))
re
(*.f64 im im)
im
(log.f64 base)
base
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base)))
(*.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log.f64 base)
base
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re)))))
#s(literal 1 binary64)
(*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))
(*.f64 (log.f64 base) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(log.f64 (fma.f64 im im (*.f64 re re)))
(fma.f64 im im (*.f64 re re))
im
(*.f64 re re)
re
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(log.f64 base)
base
(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
(atan2.f64 im re)
#s(literal 0 binary64)
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
(sqrt.f64 (fma.f64 re re (*.f64 im im)))
(fma.f64 re re (*.f64 im im))
re
(*.f64 im im)
im
(log.f64 base)
base
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base)))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))
(*.f64 (log.f64 im) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 im))
(log.f64 im)
im
(log.f64 base)
base
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im))))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log.f64 base)
base
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re)))))
(/.f64 #s(literal 2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)))
#s(literal 1 binary64)
(*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))
(*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 #s(literal 1/2 binary64) (log.f64 base)))
(*.f64 (log.f64 base) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 base))
#s(literal 1/2 binary64)
(log.f64 (fma.f64 im im (*.f64 re re)))
(log.f64 (fma.f64 re re (*.f64 im im)))
(fma.f64 im im (*.f64 re re))
(fma.f64 re re (*.f64 im im))
im
(*.f64 re re)
re
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(*.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(log.f64 (hypot.f64 re im))
(log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
(hypot.f64 re im)
(sqrt.f64 (fma.f64 re re (*.f64 im im)))
re
im
(log.f64 base)
base
(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
#s(literal 0 binary64)
(atan2.f64 im re)
#s(literal 0 binary64)
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

localize117.0ms (0.8%)

Memory
-19.1MiB live, 200.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 base)
accuracy0.3561325195368841
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
accuracy0.37337875976844204
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
accuracy0.5543937988422102
(*.f64 (log.f64 base) (log.f64 base))
accuracy0.3561325195368841
(*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))
accuracy0.3671875
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))))
accuracy0.49093632814753607
(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy32.45352761435505
(log.f64 (fma.f64 im im (*.f64 re re)))
accuracy0.17059802329112855
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base)))
accuracy0.3561325195368841
(*.f64 (log.f64 im) (log.f64 base))
accuracy0.37337875976844204
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
accuracy0.5543937988422102
(*.f64 (log.f64 base) (log.f64 base))
accuracy0
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))
accuracy0.0078125
(fma.f64 re re (*.f64 im im))
accuracy0.37890625
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
accuracy31.201675537936495
(sqrt.f64 (fma.f64 re re (*.f64 im im)))
accuracy0
(log.f64 im)
accuracy0
(log.f64 base)
accuracy0.1705163265473654
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
accuracy0.3828125
(/.f64 (log.f64 im) (log.f64 base))
Samples
90.0ms256×0valid
Compiler

Compiled 376 to 34 computations (91% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-log: 13.0ms (27.9% of total)
ival-mult: 11.0ms (23.6% of total)
ival-div: 7.0ms (15% of total)
ival-add: 5.0ms (10.7% of total)
ival-hypot: 4.0ms (8.6% of total)
ival-pow: 4.0ms (8.6% of total)
ival-atan2: 2.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series242.0ms (1.6%)

Memory
15.2MiB live, 443.5MiB allocated
Counts
24 → 612
Calls
Call 1
Inputs
#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 im) (log.f64 base)) (patch (/.f64 (log.f64 im) (log.f64 base)) #<representation binary64>) () ())
#s(alt (log.f64 im) (patch (log.f64 im) #<representation binary64>) () ())
#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (patch (/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())
#s(alt (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 re re (*.f64 im im))) (patch (sqrt.f64 (fma.f64 re re (*.f64 im im))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (patch (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (patch (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (patch #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re)))))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal -2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (atan2.f64 im re) #s(literal 0 binary64)) (patch (*.f64 (atan2.f64 im re) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())
#s(alt (fma.f64 re re (*.f64 im im)) (patch (fma.f64 re re (*.f64 im im)) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 base) (log.f64 base)) (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 im) (log.f64 base)) (patch (*.f64 (log.f64 im) (log.f64 base)) #<representation binary64>) () ())
#s(alt (log.f64 (fma.f64 im im (*.f64 re re))) (patch (log.f64 (fma.f64 im im (*.f64 re re))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re)))) (patch (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re)))) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())
Outputs
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log base)) (taylor 0 base) (#s(alt (/.f64 (log.f64 im) (log.f64 base)) (patch (/.f64 (log.f64 im) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log base)) (taylor 0 base) (#s(alt (/.f64 (log.f64 im) (log.f64 base)) (patch (/.f64 (log.f64 im) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log base)) (taylor 0 base) (#s(alt (/.f64 (log.f64 im) (log.f64 base)) (patch (/.f64 (log.f64 im) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log base)) (taylor 0 base) (#s(alt (/.f64 (log.f64 im) (log.f64 base)) (patch (/.f64 (log.f64 im) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
65.0ms
base
@0
((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (* 0 0) (+ (* (log base) (log base)) (* 0 0)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (pow (log base) -2) (/ 1 (* (* (log base) 1/2) (log (+ (* im im) (* re re)))))) (/ 1 (* (* (log base) 1/2) (log (+ (* im im) (* re re))))) (pow (log base) -2) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* (log base) (log base)) (* (log im) (log base)) (log (+ (* im im) (* re re))) (* (* (log base) 1/2) (log (+ (* im im) (* re re)))) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
34.0ms
base
@-inf
((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (* 0 0) (+ (* (log base) (log base)) (* 0 0)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (pow (log base) -2) (/ 1 (* (* (log base) 1/2) (log (+ (* im im) (* re re)))))) (/ 1 (* (* (log base) 1/2) (log (+ (* im im) (* re re))))) (pow (log base) -2) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* (log base) (log base)) (* (log im) (log base)) (log (+ (* im im) (* re re))) (* (* (log base) 1/2) (log (+ (* im im) (* re re)))) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
32.0ms
base
@inf
((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (* 0 0) (+ (* (log base) (log base)) (* 0 0)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (pow (log base) -2) (/ 1 (* (* (log base) 1/2) (log (+ (* im im) (* re re)))))) (/ 1 (* (* (log base) 1/2) (log (+ (* im im) (* re re))))) (pow (log base) -2) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* (log base) (log base)) (* (log im) (log base)) (log (+ (* im im) (* re re))) (* (* (log base) 1/2) (log (+ (* im im) (* re re)))) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
27.0ms
im
@0
((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (* 0 0) (+ (* (log base) (log base)) (* 0 0)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (pow (log base) -2) (/ 1 (* (* (log base) 1/2) (log (+ (* im im) (* re re)))))) (/ 1 (* (* (log base) 1/2) (log (+ (* im im) (* re re))))) (pow (log base) -2) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* (log base) (log base)) (* (log im) (log base)) (log (+ (* im im) (* re re))) (* (* (log base) 1/2) (log (+ (* im im) (* re re)))) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
21.0ms
im
@inf
((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (* 0 0) (+ (* (log base) (log base)) (* 0 0)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (pow (log base) -2) (/ 1 (* (* (log base) 1/2) (log (+ (* im im) (* re re)))))) (/ 1 (* (* (log base) 1/2) (log (+ (* im im) (* re re))))) (pow (log base) -2) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* (log base) (log base)) (* (log im) (log base)) (log (+ (* im im) (* re re))) (* (* (log base) 1/2) (log (+ (* im im) (* re re)))) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))

simplify205.0ms (1.4%)

Memory
3.5MiB live, 326.4MiB allocated
Algorithm
1×egg-herbie
Rules
8 480×lower-fma.f64
8 480×lower-fma.f32
6 160×lower-*.f64
6 160×lower-*.f32
3 430×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074211534
1214311238
2700111206
0807610298
Stop Event
1×iter limit
1×node limit
Counts
612 → 604
Calls
Call 1
Inputs
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
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(log base)
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(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
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(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
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(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
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(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(pow (log base) 2)
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im
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0
0
0
0
im
(+ im (* 1/2 (/ (pow re 2) im)))
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(pow im 2)
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(log (pow im 2))
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(+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))
(* 1/2 (* (log base) (log (pow re 2))))
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(+ (* 1/2 (* (log base) (log (pow re 2)))) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
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(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
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(* -1 (/ (log (/ 1 im)) (log base)))
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(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (log (/ 1 im)))
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(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
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(* -1 (* (log base) (log (/ 1 im))))
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(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
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(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(/ -1 (* (log base) (log (/ 1 im))))
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(- (* -1 (/ (+ (* -1/4 (/ (pow re 4) (* (log base) (pow (log (/ 1 im)) 2)))) (* 1/4 (/ (pow re 4) (* (log base) (pow (log (/ 1 im)) 3))))) (pow im 4))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (* (log base) (pow (log (/ 1 im)) 2))))) (/ 1 (* (log base) (log (/ 1 im))))))
(- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (* (log base) (pow (log (/ 1 im)) 3)))) (+ (* 1/6 (/ (pow re 6) (* (log base) (pow (log (/ 1 im)) 2)))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (* (log base) (pow (log (/ 1 im)) 2)))) (* 1/4 (/ (pow re 4) (* (log base) (pow (log (/ 1 im)) 3)))))) (log (/ 1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (* (log base) (pow (log (/ 1 im)) 2))))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (* (log base) (pow (log (/ 1 im)) 3))))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (* (log base) (pow (log (/ 1 im)) 2))))) (/ 1 (* (log base) (log (/ 1 im))))))))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
0
0
0
0
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)))))))
(pow im 2)
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* -1 (* (log base) (log (/ 1 im))))
(* -1 (* (log base) (log (/ 1 im))))
(* -1 (* (log base) (log (/ 1 im))))
(* -1 (* (log base) (log (/ 1 im))))
(* -2 (log (/ 1 im)))
(+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(* -1 (* (log base) (log (/ 1 im))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/6 (/ (* (pow re 6) (log base)) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (* (log base) (log (/ 1 im))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (log (/ -1 im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(/ -1 (* (log base) (log (/ -1 im))))
(- (* -1/2 (/ (pow re 2) (* (pow im 2) (* (log base) (pow (log (/ -1 im)) 2))))) (/ 1 (* (log base) (log (/ -1 im)))))
(- (* -1 (/ (+ (* -1/4 (/ (pow re 4) (* (log base) (pow (log (/ -1 im)) 2)))) (* 1/4 (/ (pow re 4) (* (log base) (pow (log (/ -1 im)) 3))))) (pow im 4))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (* (log base) (pow (log (/ -1 im)) 2))))) (/ 1 (* (log base) (log (/ -1 im))))))
(- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (* (log base) (pow (log (/ -1 im)) 3)))) (+ (* 1/6 (/ (pow re 6) (* (log base) (pow (log (/ -1 im)) 2)))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (* (log base) (pow (log (/ -1 im)) 2)))) (* 1/4 (/ (pow re 4) (* (log base) (pow (log (/ -1 im)) 3)))))) (log (/ -1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (* (log base) (pow (log (/ -1 im)) 2))))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (* (log base) (pow (log (/ -1 im)) 3))))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (* (log base) (pow (log (/ -1 im)) 2))))) (/ 1 (* (log base) (log (/ -1 im))))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
0
0
0
0
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(pow im 2)
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* -2 (log (/ -1 im)))
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/6 (/ (* (pow re 6) (log base)) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
Outputs
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(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 (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
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(-.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (log.f64 base)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (log.f64 base)))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (*.f64 re re) (*.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 base) im) im))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))))))) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64)) (log.f64 base))) #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)) (log.f64 base))) #s(literal -1/4 binary64))) (/.f64 (*.f64 re re) (log.f64 (/.f64 #s(literal -1 binary64) im)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (*.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)) (log.f64 base))) #s(literal 1/6 binary64) (*.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (*.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64)) (log.f64 base))) #s(literal -1/8 binary64)))) (pow.f64 im #s(literal 6 binary64))))
(* -1 (/ (log (/ -1 im)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) im) im)) (*.f64 re re) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (log.f64 base))) #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) im) im)) (*.f64 re re) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base))) #s(literal 1/720 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (log.f64 base))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 (log.f64 base) im) im)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* -1 im)
(neg.f64 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(*.f64 (neg.f64 im) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re) #s(literal 1 binary64)))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(*.f64 (neg.f64 im) (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re) #s(literal 1 binary64))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (*.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64)))) im im))
(pow im 2)
(*.f64 im im)
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(*.f64 (fma.f64 re (/.f64 re (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(*.f64 (fma.f64 re (/.f64 re (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(*.f64 (fma.f64 re (/.f64 re (*.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(* -2 (log (/ -1 im)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64))
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64) (*.f64 re (/.f64 re (*.f64 im im))))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/2 binary64) (*.f64 re (/.f64 re (*.f64 im im)))))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/2 binary64) (*.f64 re (/.f64 re (*.f64 im im))))))
(* -1 (* (log base) (log (/ -1 im))))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (/.f64 (log.f64 base) (*.f64 im im)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (/.f64 (log.f64 base) (*.f64 im im)) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (/.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 base)) (*.f64 (*.f64 im im) (*.f64 im im))))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/6 (/ (* (pow re 6) (log base)) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)) (fma.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/6 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (/.f64 (log.f64 base) (*.f64 im im)) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (/.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 base)) (*.f64 (*.f64 im im) (*.f64 im im)))))))
(* -1 (* (log base) (log (/ -1 im))))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (/.f64 (log.f64 base) (*.f64 im im)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (/.f64 (log.f64 base) (*.f64 im im)) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (/.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 base)) (*.f64 (*.f64 im im) (*.f64 im im))))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)) (fma.f64 (*.f64 #s(literal 1/720 binary64) (log.f64 base)) (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (/.f64 (log.f64 base) (*.f64 im im)) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (/.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 base)) (*.f64 (*.f64 im im) (*.f64 im im)))))))

rewrite535.0ms (3.6%)

Memory
-14.0MiB live, 616.5MiB allocated
Rules
6 312×lower-fma.f32
6 308×lower-fma.f64
5 052×lower-*.f32
5 038×lower-*.f64
3 886×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052241
083187
1204164
21152154
08511154
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 3 541
Calls
Call 1
Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
(log.f64 base)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
(sqrt.f64 (fma.f64 re re (*.f64 im im)))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base)))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re)))))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
(hypot.f64 re im)
(fma.f64 re re (*.f64 im im))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (log.f64 im) (log.f64 base))
(log.f64 (fma.f64 im im (*.f64 re re)))
(*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 im))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (log.f64 im)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 im)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 (log.f64 im)) #s(literal -1 binary64)) (log.f64 base))
(/.f64 (*.f64 (neg.f64 (log.f64 im)) #s(literal 1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (log.f64 im) #s(literal -1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 im))) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 base)) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (log.f64 base))) (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im)))
(*.f64 #s(literal 1 binary64) (log.f64 im))
(*.f64 (log.f64 im) #s(literal 1 binary64))
(neg.f64 (neg.f64 (log.f64 im)))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 im)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))
(log.f64 im)
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(*.f64 #s(literal 1 binary64) (log.f64 base))
(*.f64 (log.f64 base) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (log.f64 base)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (log.f64 base) #s(literal 1 binary64))
(neg.f64 (neg.f64 (log.f64 base)))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 base)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 base)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))
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(fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (pow.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 0 binary64))
(fma.f64 (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im)))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (log.f64 base) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal -2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 base)) (neg.f64 (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 #s(literal -1/2 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 base)) (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 #s(literal 2 binary64) (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im)))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im))))) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (neg.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 #s(literal 1/2 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im)))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im)))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (*.f64 (*.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)) (/.f64 #s(literal 2 binary64) (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im)))))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (pow.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (pow.f64 (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 (log.f64 (*.f64 (*.f64 (fma.f64 re re (*.f64 im im)) (+.f64 re im)) (-.f64 re im))) (/.f64 #s(literal 2 binary64) (log.f64 base))) (/.f64 (log.f64 (*.f64 (+.f64 re im) (-.f64 re im))) (/.f64 #s(literal 2 binary64) (log.f64 base))))
(-.f64 (/.f64 (log.f64 (*.f64 (*.f64 (fma.f64 re re (*.f64 im im)) (+.f64 im re)) (-.f64 im re))) (/.f64 #s(literal 2 binary64) (log.f64 base))) (/.f64 (log.f64 (*.f64 (+.f64 im re) (-.f64 im re))) (/.f64 #s(literal 2 binary64) (log.f64 base))))
(-.f64 (/.f64 (log.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)))) (/.f64 #s(literal 2 binary64) (log.f64 base))) (/.f64 (log.f64 (fma.f64 (*.f64 (*.f64 im im) (+.f64 im re)) (-.f64 im re) (*.f64 (*.f64 (*.f64 re re) re) re))) (/.f64 #s(literal 2 binary64) (log.f64 base))))
(-.f64 (/.f64 (log.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)))) (/.f64 #s(literal 2 binary64) (log.f64 base))) (/.f64 (log.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))) (/.f64 #s(literal 2 binary64) (log.f64 base))))
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64))))
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im)))))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))))

eval1.1s (7.3%)

Memory
-158.2MiB live, 1 423.3MiB allocated
Compiler

Compiled 139 609 to 6 128 computations (95.6% saved)

prune1.0s (6.9%)

Memory
-22.1MiB live, 1 418.6MiB allocated
Pruning

29 alts after pruning (28 fresh and 1 done)

PrunedKeptTotal
New4 651264 677
Fresh10212
Picked415
Done000
Total4 665294 694
Accuracy
100.0%
Counts
4 694 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.9%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))))
98.9%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))))
99.2%
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
49.0%
(/.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 base))
98.8%
(/.f64 (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
▶98.9%
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
98.7%
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64)))
98.9%
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
98.8%
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)))
98.7%
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)))
99.0%
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
98.7%
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
▶98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))))
98.9%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))) #s(literal -1 binary64)))
▶99.0%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))))
48.9%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64))) (log.f64 base))
48.9%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)))
48.9%
(*.f64 (log.f64 base) (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
99.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im))))
17.1%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (-.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))))) (log.f64 base)))
▶99.4%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
46.7%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))))
99.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
✓99.2%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
46.4%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
99.1%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
46.8%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 im))))
▶99.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
52.7%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))))
Compiler

Compiled 1 013 to 634 computations (37.4% saved)

simplify233.0ms (1.6%)

Memory
-2.9MiB live, 160.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff192
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
cost-diff256
(*.f64 (log.f64 base) (log.f64 base))
cost-diff320
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
cost-diff0
(log.f64 base)
cost-diff0
(pow.f64 (log.f64 base) #s(literal 2 binary64))
cost-diff0
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))))
cost-diff0
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))
cost-diff0
(log.f64 base)
cost-diff0
(pow.f64 (log.f64 base) #s(literal -2 binary64))
cost-diff0
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))))
cost-diff0
(log.f64 base)
cost-diff0
(/.f64 #s(literal 1 binary64) (log.f64 base))
cost-diff0
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
cost-diff0
(log.f64 (hypot.f64 re im))
cost-diff0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
cost-diff0
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
cost-diff5120
(hypot.f64 re im)
Rules
5 446×lower-*.f32
5 436×lower-*.f64
4 510×lower-fma.f64
4 510×lower-fma.f32
2 912×cube-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044334
064271
189249
2127245
3220235
4367235
5739235
62104235
72309235
82550235
92890235
103363235
113960235
124813235
135007235
145109235
155208235
165342235
176006235
187064235
197478235
207648235
217739235
227826235
08175235
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(log.f64 base)
base
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
(log.f64 im)
im
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log.f64 base)
base
#s(literal -2 binary64)
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))
(*.f64 (log.f64 base) (log.f64 im))
(log.f64 im)
im
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))))
#s(literal 1 binary64)
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(log.f64 base)
base
#s(literal 2 binary64)
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))
(*.f64 (log.f64 base) (log.f64 im))
(log.f64 im)
im
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 im)
im
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log.f64 base)
base
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(log.f64 (hypot.f64 re im))
(log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))
(hypot.f64 re im)
(sqrt.f64 (fma.f64 im im (*.f64 re re)))
re
im
(log.f64 base)
base
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
(log.f64 im)
im
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))))
(*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log.f64 base)
base
#s(literal -2 binary64)
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 im))
(*.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(literal 1 binary64)
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(log.f64 base)
base
#s(literal 2 binary64)
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 im))
(*.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base)))
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(log.f64 base)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log.f64 base)
base
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)

localize95.0ms (0.6%)

Memory
22.0MiB live, 176.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.27734375
(/.f64 #s(literal 1 binary64) (log.f64 base))
accuracy0.3561325195368841
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
accuracy0.37337875976844204
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
accuracy0.5543937988422102
(*.f64 (log.f64 base) (log.f64 base))
accuracy0.27181625976844204
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))))
accuracy0.3125
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))))
accuracy0.3561325195368841
(*.f64 (log.f64 base) (log.f64 im))
accuracy0.5543937988422102
(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy0.17059802329112855
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))
accuracy0.3561325195368841
(*.f64 (log.f64 base) (log.f64 im))
accuracy0.38671875
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))))
accuracy0.49093632814753607
(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy0
(log.f64 base)
accuracy0.1705163265473654
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
accuracy0.27734375
(/.f64 #s(literal 1 binary64) (log.f64 base))
accuracy0.359375
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
accuracy0
(log.f64 (hypot.f64 re im))
accuracy0
(log.f64 base)
accuracy0
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
accuracy0.37890625
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
Samples
73.0ms256×0valid
Compiler

Compiled 340 to 32 computations (90.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-log: 11.0ms (23.2% of total)
ival-mult: 10.0ms (21.1% of total)
ival-div: 9.0ms (19% of total)
ival-hypot: 7.0ms (14.8% of total)
ival-pow: 3.0ms (6.3% of total)
ival-add: 2.0ms (4.2% of total)
ival-atan2: 2.0ms (4.2% of total)
ival-pow2: 2.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series179.0ms (1.2%)

Memory
15.6MiB live, 321.2MiB allocated
Counts
21 → 492
Calls
Call 1
Inputs
#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())
#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))) #<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 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))) (patch (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal -2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -2 binary64)) #<representation binary64>) () ())
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Outputs
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#s(alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log base) (log (/ -1 im)))) (taylor -inf im) (#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log base) (log (/ -1 im)))) (* -1/2 (/ (* (pow re 2) (log base)) (* (pow im 2) (pow (log (/ -1 im)) 2))))) (taylor -inf im) (#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (log base) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log base)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log base)) (* (pow im 2) (pow (log (/ -1 im)) 2))))) (taylor -inf im) (#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))) #<representation binary64>) () ())) ())
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#s(alt (* (log base) (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (*.f64 (log.f64 base) (log.f64 im)) (patch (*.f64 (log.f64 base) (log.f64 im)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) (taylor -inf im) (#s(alt (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) (taylor -inf im) (#s(alt (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (patch (*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (patch (*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (patch (*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (patch (*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
30.0ms
base
@inf
((sqrt (+ (* re re) (* im im))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (* (/ 1 (log base)) (log im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ 1 (log base)) (log base) (* (pow (log base) -2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (pow (log base) -2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ 1 (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)))) (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (pow (log base) 2) (/ 1 (/ 1 (log base))) (* 0 0) (* (log base) (log base)) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log im) (/ 1 (/ 1 (log base)))))
30.0ms
base
@-inf
((sqrt (+ (* re re) (* im im))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (* (/ 1 (log base)) (log im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ 1 (log base)) (log base) (* (pow (log base) -2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (pow (log base) -2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ 1 (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)))) (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (pow (log base) 2) (/ 1 (/ 1 (log base))) (* 0 0) (* (log base) (log base)) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log im) (/ 1 (/ 1 (log base)))))
27.0ms
base
@0
((sqrt (+ (* re re) (* im im))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (* (/ 1 (log base)) (log im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ 1 (log base)) (log base) (* (pow (log base) -2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (pow (log base) -2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ 1 (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)))) (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (pow (log base) 2) (/ 1 (/ 1 (log base))) (* 0 0) (* (log base) (log base)) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log im) (/ 1 (/ 1 (log base)))))
19.0ms
im
@inf
((sqrt (+ (* re re) (* im im))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (* (/ 1 (log base)) (log im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ 1 (log base)) (log base) (* (pow (log base) -2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (pow (log base) -2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ 1 (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)))) (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (pow (log base) 2) (/ 1 (/ 1 (log base))) (* 0 0) (* (log base) (log base)) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log im) (/ 1 (/ 1 (log base)))))
19.0ms
im
@0
((sqrt (+ (* re re) (* im im))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* re re) (* im im)))) (log base)) (log (sqrt (+ (* re re) (* im im)))) (* (/ 1 (log base)) (log im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ 1 (log base)) (log base) (* (pow (log base) -2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (pow (log base) -2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ 1 (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)))) (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (pow (log base) 2) (/ 1 (/ 1 (log base))) (* 0 0) (* (log base) (log base)) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log im) (/ 1 (/ 1 (log base)))))

simplify198.0ms (1.3%)

Memory
-16.3MiB live, 282.1MiB allocated
Algorithm
1×egg-herbie
Rules
7 532×lower-fma.f64
7 532×lower-fma.f32
6 174×lower-*.f64
6 174×lower-*.f32
2 724×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06159022
118128716
264098708
081297928
Stop Event
1×iter limit
1×node limit
Counts
492 → 488
Calls
Call 1
Inputs
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(log base)
(log base)
(log base)
(log base)
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
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(* -1 (/ (log base) (log (/ -1 im))))
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(- (+ (* -1 (/ (log base) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log base)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log base)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(- (+ (* -1 (/ (log base) (log (/ -1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log base)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log base)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log base)) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log base)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
Outputs
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (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 (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(/ (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(/ (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(/ (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ 1 (pow (log (/ 1 base)) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ 1 (pow (log (/ 1 base)) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ 1 (pow (log (/ 1 base)) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ 1 (pow (log (/ 1 base)) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log (/ 1 base)) (log (sqrt (+ (pow im 2) (pow re 2))))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* -1 (/ (log (/ 1 base)) (log (sqrt (+ (pow im 2) (pow re 2))))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* -1 (/ (log (/ 1 base)) (log (sqrt (+ (pow im 2) (pow re 2))))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(* -1 (/ (log (/ 1 base)) (log (sqrt (+ (pow im 2) (pow re 2))))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(* -1 (log (/ 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)
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 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 im) (log (/ 1 base))))
(*.f64 (log.f64 im) (log.f64 base))
(* -1 (* (log im) (log (/ 1 base))))
(*.f64 (log.f64 im) (log.f64 base))
(* -1 (* (log im) (log (/ 1 base))))
(*.f64 (log.f64 im) (log.f64 base))
(* -1 (* (log im) (log (/ 1 base))))
(*.f64 (log.f64 im) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (* (log im) (log (/ 1 base))))
(*.f64 (log.f64 im) (log.f64 base))
(* -1 (* (log im) (log (/ 1 base))))
(*.f64 (log.f64 im) (log.f64 base))
(* -1 (* (log im) (log (/ 1 base))))
(*.f64 (log.f64 im) (log.f64 base))
(* -1 (* (log im) (log (/ 1 base))))
(*.f64 (log.f64 im) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
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rewrite267.0ms (1.8%)

Memory
-21.8MiB live, 451.9MiB allocated
Rules
5 964×lower-fma.f64
5 964×lower-fma.f32
5 326×lower-*.f32
5 316×lower-*.f64
3 914×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044250
064195
1192177
21086177
08664177
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 2 223
Calls
Call 1
Inputs
(hypot.f64 re im)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log.f64 (hypot.f64 re im))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log.f64 base)
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(*.f64 (log.f64 base) (log.f64 base))
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 im))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
Outputs
(*.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 im im (*.f64 re re)) (+.f64 re im)) (-.f64 re im))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 re im) (-.f64 re im)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 im im (*.f64 re re)) (+.f64 re im)) (-.f64 re im))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 re im) (-.f64 re im)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 im im (*.f64 re re)) (+.f64 re im)) (-.f64 re im))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 re im) (-.f64 re im))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) re) re (*.f64 (*.f64 im im) (*.f64 (+.f64 im re) (-.f64 im re)))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 re re) re) re (*.f64 (*.f64 im im) (*.f64 (+.f64 im re) (-.f64 im re)))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 re re) re) re (*.f64 (*.f64 im im) (*.f64 (+.f64 im re) (-.f64 im re))))) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 im im (*.f64 re re)) (fma.f64 im im (*.f64 re re))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 im im (*.f64 re re)) (+.f64 re im)) (-.f64 re im)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 re im) (-.f64 re im)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) re) re (*.f64 (*.f64 im im) (*.f64 (+.f64 im re) (-.f64 im re)))))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 im im (*.f64 re re)) (*.f64 (+.f64 im re) (-.f64 im re)))) (sqrt.f64 (*.f64 (+.f64 im re) (-.f64 im re))))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 (fma.f64 im im (*.f64 re re))) (*.f64 (+.f64 re im) (-.f64 re im)))) (sqrt.f64 (*.f64 (neg.f64 (+.f64 re im)) (-.f64 re im))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 re re) re) re (*.f64 (*.f64 im im) (*.f64 (+.f64 im re) (-.f64 im re)))))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 im im (*.f64 re re)) (+.f64 re im)) (-.f64 re im))) (sqrt.f64 (*.f64 (+.f64 re im) (-.f64 re im))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) im (*.f64 (*.f64 re re) (*.f64 (+.f64 re im) (-.f64 re im))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) re) re (*.f64 (*.f64 im im) (*.f64 (+.f64 im re) (-.f64 im re))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (+.f64 re im) (-.f64 re im))) (sqrt.f64 (*.f64 (*.f64 (fma.f64 im im (*.f64 re re)) (+.f64 re im)) (-.f64 re im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) re) re (*.f64 (*.f64 im im) (*.f64 (+.f64 im re) (-.f64 im re))))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im im (*.f64 re re)))))
(sqrt.f64 (fma.f64 im im (*.f64 re re)))
(hypot.f64 (exp.f64 (log.f64 re)) im)
(hypot.f64 im (exp.f64 (log.f64 re)))
(hypot.f64 im re)
(hypot.f64 re im)
(exp.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base))))
(*.f64 (/.f64 (*.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 (*.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (*.f64 (*.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (*.f64 (*.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re))))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (*.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 base) (log.f64 (fma.f64 im im (*.f64 re re))))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 base) (log.f64 (fma.f64 im im (*.f64 re re))))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (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 -1/2 binary64)) (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (neg.f64 (log.f64 base))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base))) #s(literal 1 binary64))
(*.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 base) (log.f64 (fma.f64 im im (*.f64 re re))))) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 base))
(/.f64 (/.f64 (*.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (*.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 base))
(/.f64 (*.f64 (*.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) #s(literal -1 binary64)) (log.f64 base))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re))))) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (neg.f64 (*.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (log.f64 base))
(/.f64 (*.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) (neg.f64 (log.f64 base)))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re))))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 base)) (*.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 base) (log.f64 (fma.f64 im im (*.f64 re re))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base))) #s(literal 1 binary64))
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 base))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 base) (log.f64 (fma.f64 im im (*.f64 re re)))))))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (log.f64 base))) (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 base) (log.f64 (fma.f64 im im (*.f64 re re)))))) #s(literal -1 binary64)))
(*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re))))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))))
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))))
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))))
(-.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 im im (*.f64 re re)) (+.f64 re im)) (-.f64 re im)))) (log.f64 (sqrt.f64 (*.f64 (+.f64 re im) (-.f64 re im)))))
(-.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) re) re (*.f64 (*.f64 im im) (*.f64 (+.f64 im re) (-.f64 im re)))))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))))
(+.f64 (log.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 im im (*.f64 re re))))))
(log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))
(*.f64 (*.f64 (neg.f64 (log.f64 im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))
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(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 (log.f64 base) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base)))) #s(literal -1 binary64)) (*.f64 (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 (log.f64 base) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base)))) #s(literal -1 binary64)) (*.f64 (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (log.f64 base)) (*.f64 (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (log.f64 base)) (*.f64 (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(fma.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base)))))
(exp.f64 (*.f64 (-.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) (log.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))))) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(+.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(+.f64 (*.f64 (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64)) (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(+.f64 (*.f64 (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)) (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(+.f64 (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(*.f64 (*.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(*.f64 (*.f64 (neg.f64 (log.f64 im)) #s(literal -1 binary64)) (log.f64 base))
(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (log.f64 im) (/.f64 #s(literal -1 binary64) (log.f64 base))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (log.f64 im)))
(*.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 base)) (log.f64 im)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(*.f64 (*.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(*.f64 (log.f64 im) (log.f64 base))
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 im) (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 im))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 im) (log.f64 base))) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (log.f64 im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 im)) #s(literal -1 binary64))
(/.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) #s(literal 1 binary64))
(/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 im) (log.f64 base))))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(neg.f64 (*.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))))
(neg.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 im)))
(neg.f64 (/.f64 (log.f64 im) (/.f64 #s(literal -1 binary64) (log.f64 base))))

eval524.0ms (3.5%)

Memory
17.9MiB live, 698.6MiB allocated
Compiler

Compiled 72 518 to 5 112 computations (93% saved)

prune663.0ms (4.5%)

Memory
15.5MiB live, 889.8MiB allocated
Pruning

31 alts after pruning (27 fresh and 4 done)

PrunedKeptTotal
New3 145153 160
Fresh111223
Picked235
Done011
Total3 158313 189
Accuracy
100.0%
Counts
3 189 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base)))))
▶99.2%
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
49.0%
(/.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 base))
▶98.7%
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64)))
98.9%
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
98.8%
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)))
97.0%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal -1 binary64))) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))))
▶99.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im))))
98.6%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))))
98.9%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))))))
98.9%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
46.8%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) (log.f64 im))))
✓99.0%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))))
48.9%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64))) (log.f64 base))
48.9%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)))
98.7%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal -1 binary64))) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))))
48.9%
(*.f64 (log.f64 base) (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
46.8%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
99.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im))))
▶17.1%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (-.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))))) (log.f64 base)))
46.8%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
✓99.4%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
99.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
✓99.2%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
46.8%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im)))
46.8%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) (log.f64 im)))
▶46.9%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))))
46.7%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) (log.f64 im)))
✓99.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
46.4%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im)))
52.7%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))))
Compiler

Compiled 985 to 636 computations (35.4% saved)

simplify133.0ms (0.9%)

Memory
-15.0MiB live, 137.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 im)
cost-diff0
(*.f64 (log.f64 im) (log.f64 base))
cost-diff0
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base)))
cost-diff0
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64)))
cost-diff0
(log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)))))
cost-diff0
(-.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im)))))
cost-diff0
(/.f64 (-.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))))) (log.f64 base))
cost-diff0
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (-.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))))) (log.f64 base)))
cost-diff0
(log.f64 im)
cost-diff0
(/.f64 (log.f64 im) (sqrt.f64 (log.f64 base)))
cost-diff0
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))))
cost-diff8704
(*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))
cost-diff0
(log.f64 base)
cost-diff0
(/.f64 (log.f64 base) (log.f64 im))
cost-diff0
#s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im))))
cost-diff192
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
cost-diff256
(*.f64 (log.f64 base) (log.f64 base))
cost-diff320
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
cost-diff5120
(hypot.f64 re im)
Rules
10 416×lower-fma.f32
10 412×lower-fma.f64
2 088×lower-*.f32
2 066×lower-*.f64
1 838×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065616
0107567
1163475
2255421
3521399
41108391
52447391
66184391
08319384
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(log.f64 base)
base
#s(approx (* (atan2 im re) 0) #s(literal 0 binary64))
#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))
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im))))
#s(literal 1 binary64)
#s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 base) (log.f64 im))
(log.f64 base)
base
(log.f64 im)
im
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))))
(*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))
(/.f64 (log.f64 im) (sqrt.f64 (log.f64 base)))
(log.f64 im)
im
(sqrt.f64 (log.f64 base))
(log.f64 base)
base
(/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))
#s(literal 1 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (-.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))))) (log.f64 base)))
(/.f64 (-.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))))) (log.f64 base))
(-.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im)))))
(log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)))))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))
(fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)))
(*.f64 (*.f64 im im) im)
(*.f64 im im)
im
(*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))
(*.f64 (*.f64 re re) re)
(*.f64 re re)
re
(log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im)))
(fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))
(*.f64 (*.f64 re re) (+.f64 re im))
(+.f64 re im)
(-.f64 re im)
(*.f64 (*.f64 (*.f64 im im) im) im)
(log.f64 base)
base
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64)))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base)))
(*.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
#s(literal -2 binary64)
Outputs
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(log.f64 (hypot.f64 re im))
(log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re))))
(hypot.f64 re im)
(sqrt.f64 (fma.f64 im im (*.f64 re re)))
re
im
(log.f64 base)
base
#s(approx (* (atan2 im re) 0) #s(literal 0 binary64))
#s(literal 0 binary64)
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im))))
#s(literal 1 binary64)
#s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 base) (log.f64 im))
(log.f64 base)
base
(log.f64 im)
im
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (sqrt.f64 (log.f64 base)))
(log.f64 im)
im
(sqrt.f64 (log.f64 base))
(log.f64 base)
base
(/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))
#s(literal 1 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (-.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (-.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) im) im (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) re) re) re)))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (-.f64 re im) re) re) (+.f64 im re) (*.f64 (*.f64 (*.f64 im im) im) im))))) (log.f64 base)))
(/.f64 (-.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))))) (log.f64 base))
(/.f64 (-.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) im) im (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) re) re) re)))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (-.f64 re im) re) re) (+.f64 im re) (*.f64 (*.f64 (*.f64 im im) im) im))))) (log.f64 base))
(-.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im)))))
(-.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) im) im (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) re) re) re)))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (-.f64 re im) re) re) (+.f64 im re) (*.f64 (*.f64 (*.f64 im im) im) im)))))
(log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)))))
(log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) im) im (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) re) re) re))))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) im) im (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) re) re) re)))
(fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) im) im (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) re) re) re))
(*.f64 (*.f64 im im) im)
(*.f64 im im)
im
(*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) re) re) re)
(*.f64 (*.f64 re re) re)
(*.f64 re re)
re
(log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))))
(log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (-.f64 re im) re) re) (+.f64 im re) (*.f64 (*.f64 (*.f64 im im) im) im))))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im)))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (-.f64 re im) re) re) (+.f64 im re) (*.f64 (*.f64 (*.f64 im im) im) im)))
(fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))
(fma.f64 (*.f64 (*.f64 (-.f64 re im) re) re) (+.f64 im re) (*.f64 (*.f64 (*.f64 im im) im) im))
(*.f64 (*.f64 re re) (+.f64 re im))
(*.f64 (*.f64 (+.f64 im re) re) re)
(+.f64 re im)
(+.f64 im re)
(-.f64 re im)
(*.f64 (*.f64 (*.f64 im im) im) im)
(log.f64 base)
base
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64)))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base)))
(*.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
#s(literal -2 binary64)

localize304.0ms (2.1%)

Memory
-25.7MiB live, 285.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1328125
(/.f64 #s(literal 1 binary64) (log.f64 base))
accuracy0.185878759768442
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64)))
accuracy0.19207001953688405
(*.f64 (log.f64 im) (log.f64 base))
accuracy0.20769501953688402
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64))
accuracy5.378906250000001
(fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))
accuracy6.217363510390118
(sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im)))
accuracy16.226775616632732
(log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))))
accuracy19.612525209353997
(log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)))))
accuracy0.0859375
(sqrt.f64 (log.f64 base))
accuracy0.12109375
(/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))
accuracy0.16796875
(/.f64 (log.f64 im) (sqrt.f64 (log.f64 base)))
accuracy0.17578125
(*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))
accuracy0
(log.f64 base)
accuracy0
#s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im)))
accuracy0.15625
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im))))
accuracy0.16015625
(/.f64 (log.f64 base) (log.f64 im))
accuracy0
#s(approx (* (atan2 im re) 0) #s(literal 0 binary64))
accuracy0.185878759768442
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
accuracy0.19207001953688405
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
accuracy0.280292529305326
(*.f64 (log.f64 base) (log.f64 base))
Samples
110.0ms135×0invalid
60.0ms121×0valid
Compiler

Compiled 601 to 51 computations (91.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 146.0ms
ival-log: 68.0ms (46.5% of total)
ival-mult: 38.0ms (26% of total)
ival-div: 12.0ms (8.2% of total)
ival-hypot: 8.0ms (5.5% of total)
ival-add: 6.0ms (4.1% of total)
ival-pow: 4.0ms (2.7% of total)
ival-sqrt: 3.0ms (2.1% of total)
ival-atan2: 2.0ms (1.4% of total)
ival-sub: 2.0ms (1.4% of total)
ival-pow2: 2.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series548.0ms (3.7%)

Memory
62.8MiB live, 859.1MiB allocated
Counts
29 → 684
Calls
Call 1
Inputs
#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (patch (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 base) (log.f64 base)) (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())
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#s(alt #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im))) (patch #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 base) (log.f64 im)) (patch (/.f64 (log.f64 base) (log.f64 im)) #<representation binary64>) () ())
#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))) (patch (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (patch (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) #<representation binary64>) () ())
#s(alt (log.f64 im) (patch (log.f64 im) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (-.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))))) (log.f64 base))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (-.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))))) (log.f64 base))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))))) (log.f64 base)) (patch (/.f64 (-.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))))) (log.f64 base)) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))))) (patch (-.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))))) #<representation binary64>) () ())
#s(alt (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) (patch (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64))) (patch (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64))) #<representation binary64>) () ())
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#s(alt (*.f64 (log.f64 im) (log.f64 base)) (patch (*.f64 (log.f64 im) (log.f64 base)) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #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 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) (patch #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) #<representation binary64>) () ())
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#s(alt (sqrt.f64 (log.f64 base)) (patch (sqrt.f64 (log.f64 base)) #<representation binary64>) () ())
#s(alt (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im)))) (patch (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im)))) #<representation binary64>) () ())
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#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (log.f64 base)) (patch (/.f64 #s(literal 1 binary64) (log.f64 base)) #<representation binary64>) () ())
Outputs
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (*.f64 (log.f64 base) (log.f64 base)) (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (*.f64 (log.f64 base) (log.f64 base)) (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (*.f64 (log.f64 base) (log.f64 base)) (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (*.f64 (log.f64 base) (log.f64 base)) (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (patch (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (patch (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (patch (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im)))) #<representation binary64>) () ())) ())
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#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im)))) #<representation binary64>) () ())) ())
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#s(alt (/ (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im))) (patch #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im))) (patch #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im))) (patch #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (log im)) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (log.f64 im)) (patch (/.f64 (log.f64 base) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (log im)) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (log.f64 im)) (patch (/.f64 (log.f64 base) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (log im)) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (log.f64 im)) (patch (/.f64 (log.f64 base) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (log im)) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (log.f64 im)) (patch (/.f64 (log.f64 base) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log base)) (taylor 0 base) (#s(alt (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))) (patch (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log base)) (taylor 0 base) (#s(alt (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))) (patch (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log base)) (taylor 0 base) (#s(alt (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))) (patch (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log base)) (taylor 0 base) (#s(alt (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))) (patch (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))) #<representation binary64>) () ())) ())
#s(alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) (taylor 0 base) (#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (log base))) (log im)) (taylor 0 base) (#s(alt (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (patch (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (log base))) (log im)) (taylor 0 base) (#s(alt (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (patch (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
123.0ms
base
@0
((sqrt (+ (* re re) (* im im))) (* 0 0) (* (log base) (log base)) (+ (* (log base) (log base)) (* 0 0)) (/ 1 (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)))) (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/ (log base) (log im)) (log base) (* (/ (log im) (sqrt (log base))) (/ 1 (sqrt (log base)))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (sqrt (log base))) (log im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (- (log (sqrt (+ (* (* (* im im) im) (* (* im im) im)) (* (* (* re re) re) (* (* re re) re))))) (log (sqrt (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im))))) (log base)) (- (log (sqrt (+ (* (* (* im im) im) (* (* im im) im)) (* (* (* re re) re) (* (* re re) re))))) (log (sqrt (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im))))) (log (sqrt (+ (* (* (* im im) im) (* (* im im) im)) (* (* (* re re) re) (* (* re re) re))))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (/ 1 (log base)) -2)) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log im) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (/ 1 (sqrt (log base))) (sqrt (log base)) (log (sqrt (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im)))) (sqrt (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im))) (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im)) (pow (/ 1 (log base)) -2) (/ 1 (log base)))
82.0ms
im
@inf
((sqrt (+ (* re re) (* im im))) (* 0 0) (* (log base) (log base)) (+ (* (log base) (log base)) (* 0 0)) (/ 1 (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)))) (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/ (log base) (log im)) (log base) (* (/ (log im) (sqrt (log base))) (/ 1 (sqrt (log base)))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (sqrt (log base))) (log im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (- (log (sqrt (+ (* (* (* im im) im) (* (* im im) im)) (* (* (* re re) re) (* (* re re) re))))) (log (sqrt (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im))))) (log base)) (- (log (sqrt (+ (* (* (* im im) im) (* (* im im) im)) (* (* (* re re) re) (* (* re re) re))))) (log (sqrt (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im))))) (log (sqrt (+ (* (* (* im im) im) (* (* im im) im)) (* (* (* re re) re) (* (* re re) re))))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (/ 1 (log base)) -2)) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log im) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (/ 1 (sqrt (log base))) (sqrt (log base)) (log (sqrt (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im)))) (sqrt (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im))) (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im)) (pow (/ 1 (log base)) -2) (/ 1 (log base)))
66.0ms
base
@-inf
((sqrt (+ (* re re) (* im im))) (* 0 0) (* (log base) (log base)) (+ (* (log base) (log base)) (* 0 0)) (/ 1 (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)))) (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/ (log base) (log im)) (log base) (* (/ (log im) (sqrt (log base))) (/ 1 (sqrt (log base)))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (sqrt (log base))) (log im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (- (log (sqrt (+ (* (* (* im im) im) (* (* im im) im)) (* (* (* re re) re) (* (* re re) re))))) (log (sqrt (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im))))) (log base)) (- (log (sqrt (+ (* (* (* im im) im) (* (* im im) im)) (* (* (* re re) re) (* (* re re) re))))) (log (sqrt (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im))))) (log (sqrt (+ (* (* (* im im) im) (* (* im im) im)) (* (* (* re re) re) (* (* re re) re))))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (/ 1 (log base)) -2)) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log im) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (/ 1 (sqrt (log base))) (sqrt (log base)) (log (sqrt (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im)))) (sqrt (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im))) (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im)) (pow (/ 1 (log base)) -2) (/ 1 (log base)))
59.0ms
im
@0
((sqrt (+ (* re re) (* im im))) (* 0 0) (* (log base) (log base)) (+ (* (log base) (log base)) (* 0 0)) (/ 1 (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)))) (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/ (log base) (log im)) (log base) (* (/ (log im) (sqrt (log base))) (/ 1 (sqrt (log base)))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (sqrt (log base))) (log im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (- (log (sqrt (+ (* (* (* im im) im) (* (* im im) im)) (* (* (* re re) re) (* (* re re) re))))) (log (sqrt (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im))))) (log base)) (- (log (sqrt (+ (* (* (* im im) im) (* (* im im) im)) (* (* (* re re) re) (* (* re re) re))))) (log (sqrt (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im))))) (log (sqrt (+ (* (* (* im im) im) (* (* im im) im)) (* (* (* re re) re) (* (* re re) re))))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (/ 1 (log base)) -2)) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log im) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (/ 1 (sqrt (log base))) (sqrt (log base)) (log (sqrt (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im)))) (sqrt (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im))) (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im)) (pow (/ 1 (log base)) -2) (/ 1 (log base)))
41.0ms
base
@inf
((sqrt (+ (* re re) (* im im))) (* 0 0) (* (log base) (log base)) (+ (* (log base) (log base)) (* 0 0)) (/ 1 (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)))) (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/ (log base) (log im)) (log base) (* (/ (log im) (sqrt (log base))) (/ 1 (sqrt (log base)))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (sqrt (log base))) (log im) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (- (log (sqrt (+ (* (* (* im im) im) (* (* im im) im)) (* (* (* re re) re) (* (* re re) re))))) (log (sqrt (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im))))) (log base)) (- (log (sqrt (+ (* (* (* im im) im) (* (* im im) im)) (* (* (* re re) re) (* (* re re) re))))) (log (sqrt (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im))))) (log (sqrt (+ (* (* (* im im) im) (* (* im im) im)) (* (* (* re re) re) (* (* re re) re))))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (/ 1 (log base)) -2)) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log im) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (/ 1 (sqrt (log base))) (sqrt (log base)) (log (sqrt (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im)))) (sqrt (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im))) (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im)) (pow (/ 1 (log base)) -2) (/ 1 (log base)))

simplify244.0ms (1.6%)

Memory
26.3MiB live, 368.3MiB allocated
Algorithm
1×egg-herbie
Rules
10 862×lower-fma.f64
10 862×lower-fma.f32
5 768×lower-+.f64
5 768×lower-+.f32
5 298×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118113199
1365711869
0899610959
Stop Event
1×iter limit
1×node limit
Counts
684 → 680
Calls
Call 1
Inputs
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(/ (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(/ (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(/ (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(/ (log base) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(log base)
(log base)
(log base)
(log base)
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* (sqrt (/ 1 (log base))) (log im))
(* (sqrt (/ 1 (log base))) (log im))
(* (sqrt (/ 1 (log base))) (log im))
(* (sqrt (/ 1 (log base))) (log im))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (- (log (sqrt (+ (pow im 6) (pow re 6)))) (log (sqrt (+ (* (pow re 2) (* (+ im re) (- re im))) (pow im 4))))) (log base))
(/ (- (log (sqrt (+ (pow im 6) (pow re 6)))) (log (sqrt (+ (* (pow re 2) (* (+ im re) (- re im))) (pow im 4))))) (log base))
(/ (- (log (sqrt (+ (pow im 6) (pow re 6)))) (log (sqrt (+ (* (pow re 2) (* (+ im re) (- re im))) (pow im 4))))) (log base))
(/ (- (log (sqrt (+ (pow im 6) (pow re 6)))) (log (sqrt (+ (* (pow re 2) (* (+ im re) (- re im))) (pow im 4))))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log im))
(* (log base) (log im))
(* (log base) (log im))
(* (log base) (log im))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(sqrt (/ 1 (log base)))
(sqrt (/ 1 (log base)))
(sqrt (/ 1 (log base)))
(sqrt (/ 1 (log base)))
(sqrt (log base))
(sqrt (log base))
(sqrt (log base))
(sqrt (log base))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(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)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (/ 1 base)) (log (sqrt (+ (pow im 2) (pow re 2))))))
(* -1 (/ (log (/ 1 base)) (log (sqrt (+ (pow im 2) (pow re 2))))))
(* -1 (/ (log (/ 1 base)) (log (sqrt (+ (pow im 2) (pow re 2))))))
(* -1 (/ (log (/ 1 base)) (log (sqrt (+ (pow im 2) (pow re 2))))))
(* -1 (/ (log (/ 1 base)) (log im)))
(* -1 (/ (log (/ 1 base)) (log im)))
(* -1 (/ (log (/ 1 base)) (log im)))
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(* -1 (log (/ 1 base)))
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(* -1 (log (/ 1 base)))
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(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
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(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* (* (log im) (sqrt -1)) (sqrt (/ 1 (log (/ 1 base)))))
(* (* (log im) (sqrt -1)) (sqrt (/ 1 (log (/ 1 base)))))
(* (* (log im) (sqrt -1)) (sqrt (/ 1 (log (/ 1 base)))))
(* (* (log im) (sqrt -1)) (sqrt (/ 1 (log (/ 1 base)))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
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(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (- (log (sqrt (+ (pow im 6) (pow re 6)))) (log (sqrt (+ (* (pow re 2) (* (+ im re) (- re im))) (pow im 4))))) (log (/ 1 base))))
(* -1 (/ (- (log (sqrt (+ (pow im 6) (pow re 6)))) (log (sqrt (+ (* (pow re 2) (* (+ im re) (- re im))) (pow im 4))))) (log (/ 1 base))))
(* -1 (/ (- (log (sqrt (+ (pow im 6) (pow re 6)))) (log (sqrt (+ (* (pow re 2) (* (+ im re) (- re im))) (pow im 4))))) (log (/ 1 base))))
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(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
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(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
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(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
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(* -1 (* (log im) (log (/ 1 base))))
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(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))
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(* (sqrt (log (/ 1 base))) (sqrt -1))
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
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(pow (log (/ 1 base)) 2)
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
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(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)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
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(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
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(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (- (log (sqrt (+ (pow im 6) (pow re 6)))) (log (sqrt (+ (* (pow re 2) (* (+ im re) (- re im))) (pow im 4))))) (+ (log -1) (* -1 (log (/ -1 base)))))
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(/ (- (log (sqrt (+ (pow im 6) (pow re 6)))) (log (sqrt (+ (* (pow re 2) (* (+ im re) (- re im))) (pow im 4))))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (- (log (sqrt (+ (pow im 6) (pow re 6)))) (log (sqrt (+ (* (pow re 2) (* (+ im re) (- re im))) (pow im 4))))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
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(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
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(* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ 1 (+ (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)))))
(sqrt (+ (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)
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(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(/ (log base) (log im))
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(pow im 4)
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re
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0
0
0
0
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(pow re 2)
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(pow re 4)
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(* -1 re)
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(* -1 (* (log base) (log (/ -1 re))))
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0
0
0
0
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(pow re 2)
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(* (pow re 2) (+ 1 (* -1 (/ (+ (* -1/2 (+ im (* -1 im))) (* -1/2 (/ (- (* -1 (pow im 2)) (* 1/4 (pow (+ im (* -1 im)) 2))) re))) re))))
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(pow re 4)
(* (pow re 4) (+ 1 (+ (* -1 (/ im re)) (/ im re))))
(* (pow re 4) (+ 1 (* -1 (/ (+ (* -1 (+ im (* -1 im))) (/ (pow im 2) re)) re))))
(* (pow re 4) (+ 1 (* -1 (/ (+ (* -1 (+ im (* -1 im))) (* -1 (/ (+ (* -1 (pow im 2)) (/ (pow im 4) (pow re 2))) re))) re))))
re
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(/ (log base) (log im))
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(log im)
(log im)
(log im)
(log im)
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(log (pow re 3))
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(* (log base) (log re))
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(* (log base) (log im))
(* (log base) (log im))
(* (log base) (log im))
(* (log base) (log im))
(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
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(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
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0
0
0
0
(log (pow re 2))
(+ (log (pow re 2)) (* 1/2 (/ (* im (+ re (* -1 re))) (pow re 2))))
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(+ (log (pow re 2)) (* im (+ (* 1/2 (/ (+ re (* -1 re)) (pow re 2))) (* im (+ (* 1/6 (* im (+ (* -3 (/ (* (+ re (* -1 re)) (- (* -1 (pow re 2)) (* 1/4 (pow (+ re (* -1 re)) 2)))) (pow re 6))) (* 1/4 (/ (pow (+ re (* -1 re)) 3) (pow re 6)))))) (* 1/2 (- (* -1/4 (/ (pow (+ re (* -1 re)) 2) (pow re 4))) (+ (* 1/4 (/ (pow (+ re (* -1 re)) 2) (pow re 4))) (/ 1 (pow re 2))))))))))
(pow re 2)
(+ (* 1/2 (* im (+ re (* -1 re)))) (pow re 2))
(+ (* im (+ (* 1/2 (+ re (* -1 re))) (* 1/2 (/ (* im (- (* -1 (pow re 2)) (* 1/4 (pow (+ re (* -1 re)) 2)))) (pow re 2))))) (pow re 2))
(+ (* im (+ (* 1/2 (+ re (* -1 re))) (* im (+ (* -1/4 (/ (* im (* (+ re (* -1 re)) (- (* -1 (pow re 2)) (* 1/4 (pow (+ re (* -1 re)) 2))))) (pow re 4))) (* 1/2 (/ (- (* -1 (pow re 2)) (* 1/4 (pow (+ re (* -1 re)) 2))) (pow re 2))))))) (pow re 2))
(pow re 4)
(+ (* im (* (pow re 2) (+ re (* -1 re)))) (pow re 4))
(+ (* im (+ (* -1 (* im (pow re 2))) (* (pow re 2) (+ re (* -1 re))))) (pow re 4))
(+ (* im (+ (* im (+ (* -1 (pow re 2)) (pow im 2))) (* (pow re 2) (+ re (* -1 re))))) (pow re 4))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (/ (log (/ 1 im)) (log base)))
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(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
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(* -1 (/ (log base) (log (/ 1 im))))
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(/ (- (* -3 (log (/ 1 im))) (* -2 (log (/ 1 im)))) (log base))
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(* -3 (log (/ 1 im)))
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(* -1 (* (log base) (log (/ 1 im))))
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(* -1 (* (log base) (log (/ 1 im))))
(* -1 (* (log base) (log (/ 1 im))))
(* -1 (* (log base) (log (/ 1 im))))
(* -1 (* (log base) (log (/ 1 im))))
(* -1 (* (log base) (log (/ 1 im))))
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(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (/ (log (/ 1 im)) (log base)))
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(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
0
0
0
0
(* -2 (log (/ 1 im)))
(+ (* -2 (log (/ 1 im))) (* -1/2 (/ (pow re 2) (pow im 2))))
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(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 2) (pow im 2))) (+ (* 1/24 (/ (+ (* -3 (pow re 4)) (* 12 (- (pow re 4) (* 1/4 (pow re 4))))) (pow im 4))) (* 1/2 (/ (* (pow re 2) (+ re (* -1 re))) (pow im 3))))))
(pow im 2)
(* (pow im 2) (+ 1 (* -1/2 (/ (pow re 2) (pow im 2)))))
(* (pow im 2) (+ 1 (+ (* -1/2 (/ (pow re 2) (pow im 2))) (* 1/2 (/ (* (pow re 2) (+ re (* -1 re))) (pow im 3))))))
(* (pow im 2) (+ 1 (+ (* -1/2 (/ (pow re 2) (pow im 2))) (+ (* 1/2 (/ (* (pow re 2) (+ re (* -1 re))) (pow im 3))) (* 1/2 (/ (- (pow re 4) (* 1/4 (pow re 4))) (pow im 4)))))))
(pow im 4)
(* (pow im 4) (+ 1 (* -1 (/ (pow re 2) (pow im 2)))))
(* (pow im 4) (+ 1 (+ (* -1 (/ (pow re 2) (pow im 2))) (/ (* (pow re 2) (+ re (* -1 re))) (pow im 3)))))
(* (pow im 4) (+ 1 (+ (* -1 (/ (pow re 2) (pow im 2))) (+ (/ (* (pow re 2) (+ re (* -1 re))) (pow im 3)) (/ (pow re 4) (pow im 4))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log base) (log (/ -1 im))))
(+ (* -1 (/ (log base) (log (/ -1 im)))) (* -1/2 (/ (* (pow re 2) (log base)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(- (+ (* -1 (/ (log base) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log base)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log base)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(- (+ (* -1 (/ (log base) (log (/ -1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log base)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log base)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log base)) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log base)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* (sqrt (/ 1 (log base))) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (sqrt (/ 1 (log base))) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (sqrt (/ 1 (log base))) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (sqrt (/ 1 (log base))) (+ (log -1) (* -1 (log (/ -1 im)))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(/ (- (* -3 (log (/ -1 im))) (* -2 (log (/ -1 im)))) (log base))
(- (+ (* -3 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) (* -2 (/ (log (/ -1 im)) (log base))))
(- (+ (* -3 (/ (log (/ -1 im)) (log base))) (+ (* 1/2 (/ (* (pow re 2) (+ re (* -1 re))) (* (pow im 3) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) (* -2 (/ (log (/ -1 im)) (log base))))
(- (+ (* -3 (/ (log (/ -1 im)) (log base))) (+ (* -1 (/ (+ (* -1/2 (/ (* (pow re 2) (+ re (* -1 re))) (log base))) (* 1/24 (/ (+ (* -3 (pow re 4)) (* 12 (- (pow re 4) (* 1/4 (pow re 4))))) (* im (log base))))) (pow im 3))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) (* -2 (/ (log (/ -1 im)) (log base))))
(- (* -3 (log (/ -1 im))) (* -2 (log (/ -1 im))))
(- (+ (* -3 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2)))) (* -2 (log (/ -1 im))))
(- (+ (* -3 (log (/ -1 im))) (* 1/2 (/ (* (pow re 2) (+ re (* -1 re))) (pow im 3)))) (+ (* -2 (log (/ -1 im))) (* -1/2 (/ (pow re 2) (pow im 2)))))
(- (+ (* -3 (log (/ -1 im))) (* -1 (/ (- (* 1/24 (/ (+ (* -3 (pow re 4)) (* 12 (- (pow re 4) (* 1/4 (pow re 4))))) im)) (* 1/2 (* (pow re 2) (+ re (* -1 re))))) (pow im 3)))) (+ (* -2 (log (/ -1 im))) (* -1/2 (/ (pow re 2) (pow im 2)))))
(* -3 (log (/ -1 im)))
(+ (* -3 (log (/ -1 im))) (* 1/2 (/ (pow re 6) (pow im 6))))
(+ (* -3 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 12) (pow im 12))) (* 1/2 (/ (pow re 6) (pow im 6)))))
(+ (* -3 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 12) (pow im 12))) (+ (* 1/6402373705728000 (/ (+ (* 266765571072000 (pow re 18)) (* 800296713216000 (pow re 18))) (pow im 18))) (* 1/2 (/ (pow re 6) (pow im 6))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
0
0
0
0
(* -2 (log (/ -1 im)))
(+ (* -2 (log (/ -1 im))) (* -1/2 (/ (pow re 2) (pow im 2))))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (* (pow re 2) (+ re (* -1 re))) (pow im 3))) (* -1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -2 (log (/ -1 im))) (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -3 (pow re 4)) (* 12 (- (pow re 4) (* 1/4 (pow re 4))))) im)) (* 1/2 (* (pow re 2) (+ re (* -1 re))))) (pow im 3))) (* -1/2 (/ (pow re 2) (pow im 2)))))
(pow im 2)
(* (pow im 2) (+ 1 (* -1/2 (/ (pow re 2) (pow im 2)))))
(* (pow im 2) (+ 1 (+ (* -1/2 (/ (* (pow re 2) (+ re (* -1 re))) (pow im 3))) (* -1/2 (/ (pow re 2) (pow im 2))))))
(* (pow im 2) (+ 1 (+ (* -1 (/ (+ (* -1/2 (/ (- (pow re 4) (* 1/4 (pow re 4))) im)) (* 1/2 (* (pow re 2) (+ re (* -1 re))))) (pow im 3))) (* -1/2 (/ (pow re 2) (pow im 2))))))
(pow im 4)
(* (pow im 4) (+ 1 (* -1 (/ (pow re 2) (pow im 2)))))
(* (pow im 4) (+ 1 (+ (* -1 (/ (* (pow re 2) (+ re (* -1 re))) (pow im 3))) (* -1 (/ (pow re 2) (pow im 2))))))
(* (pow im 4) (+ 1 (+ (* -1 (/ (+ (* -1 (/ (pow re 4) im)) (* (pow re 2) (+ re (* -1 re)))) (pow im 3))) (* -1 (/ (pow re 2) (pow im 2))))))
Outputs
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log 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 (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(/ (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(/ (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(/ (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(/ (log base) (log im))
(/.f64 (log.f64 base) (log.f64 im))
(/ (log base) (log im))
(/.f64 (log.f64 base) (log.f64 im))
(/ (log base) (log im))
(/.f64 (log.f64 base) (log.f64 im))
(/ (log base) (log im))
(/.f64 (log.f64 base) (log.f64 im))
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* (sqrt (/ 1 (log base))) (log im))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 im))
(* (sqrt (/ 1 (log base))) (log im))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 im))
(* (sqrt (/ 1 (log base))) (log im))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 im))
(* (sqrt (/ 1 (log base))) (log im))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 im))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (- (log (sqrt (+ (pow im 6) (pow re 6)))) (log (sqrt (+ (* (pow re 2) (* (+ im re) (- re im))) (pow im 4))))) (log base))
(/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (-.f64 re im) (+.f64 re im)) (*.f64 re re) (pow.f64 im #s(literal 4 binary64)))))) (log.f64 base))
(/ (- (log (sqrt (+ (pow im 6) (pow re 6)))) (log (sqrt (+ (* (pow re 2) (* (+ im re) (- re im))) (pow im 4))))) (log base))
(/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (-.f64 re im) (+.f64 re im)) (*.f64 re re) (pow.f64 im #s(literal 4 binary64)))))) (log.f64 base))
(/ (- (log (sqrt (+ (pow im 6) (pow re 6)))) (log (sqrt (+ (* (pow re 2) (* (+ im re) (- re im))) (pow im 4))))) (log base))
(/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (-.f64 re im) (+.f64 re im)) (*.f64 re re) (pow.f64 im #s(literal 4 binary64)))))) (log.f64 base))
(/ (- (log (sqrt (+ (pow im 6) (pow re 6)))) (log (sqrt (+ (* (pow re 2) (* (+ im re) (- re im))) (pow im 4))))) (log base))
(/.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (-.f64 re im) (+.f64 re im)) (*.f64 re re) (pow.f64 im #s(literal 4 binary64)))))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(sqrt (/ 1 (log base)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))
(sqrt (/ 1 (log base)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))
(sqrt (/ 1 (log base)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))
(sqrt (/ 1 (log base)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (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))
(sqrt (log base))
(sqrt.f64 (log.f64 base))
(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))
(/ 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))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
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(pow im 4)
(pow.f64 im #s(literal 4 binary64))
(* (pow im 4) (+ 1 (* -1 (/ (pow re 2) (pow im 2)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 re re) (*.f64 im im))) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (+ 1 (+ (* -1 (/ (* (pow re 2) (+ re (* -1 re))) (pow im 3))) (* -1 (/ (pow re 2) (pow im 2))))))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 im im) im))) (/.f64 (*.f64 re re) (*.f64 im im))) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (+ 1 (+ (* -1 (/ (+ (* -1 (/ (pow re 4) im)) (* (pow re 2) (+ re (* -1 re)))) (pow im 3))) (* -1 (/ (pow re 2) (pow im 2))))))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (neg.f64 im)) (*.f64 (*.f64 im im) im))) (/.f64 (*.f64 re re) (*.f64 im im))) (pow.f64 im #s(literal 4 binary64)))

rewrite451.0ms (3%)

Memory
-29.5MiB live, 389.6MiB allocated
Rules
5 060×lower-fma.f32
5 056×lower-fma.f64
4 588×lower-*.f32
4 566×lower-*.f64
4 326×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065476
0107366
1350310
22282302
08908300
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
29 → 1 040
Calls
Call 1
Inputs
(hypot.f64 re im)
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(*.f64 (log.f64 base) (log.f64 base))
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im))))
#s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 base) (log.f64 im))
(log.f64 base)
(*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))))
(/.f64 (log.f64 im) (sqrt.f64 (log.f64 base)))
(log.f64 im)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (-.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))))) (log.f64 base)))
(/.f64 (-.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))))) (log.f64 base))
(-.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im)))))
(log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64)))
#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base)))
(*.f64 (log.f64 im) (log.f64 base))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (* (atan2 im re) 0) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))
(sqrt.f64 (log.f64 base))
(log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))))
(sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im)))
(fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
Outputs
(*.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 im im (*.f64 re re)) (*.f64 (-.f64 re im) (+.f64 im re)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 re im) (+.f64 im re)))))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 im im (*.f64 re re)) (*.f64 (-.f64 re im) (+.f64 im re)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 re im) (+.f64 im re))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) im) im (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) re) re) re))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 re re) re) re (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re)))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) im) im (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) re) re) re))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 re re) re) re (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))))) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 im im (*.f64 re re)) (fma.f64 im im (*.f64 re re))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 im im (*.f64 re re)) (*.f64 (-.f64 re im) (+.f64 im re))))) (neg.f64 (sqrt.f64 (*.f64 (-.f64 re im) (+.f64 im re)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 im im) im) im) (*.f64 (*.f64 (*.f64 re re) re) re))) (sqrt.f64 (-.f64 (*.f64 im im) (*.f64 re re))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (fma.f64 im im (*.f64 re re)) (*.f64 (-.f64 re im) (+.f64 im re))))) (sqrt.f64 (neg.f64 (*.f64 (-.f64 re im) (+.f64 im re)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) im) im (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) re) re) re)))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 re re) re) re (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re)))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) im) im (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) re) re) re)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) re) re (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re)))))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 im im (*.f64 re re)) (*.f64 (-.f64 re im) (+.f64 im re)))) (sqrt.f64 (*.f64 (-.f64 re im) (+.f64 im re))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) im) im (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) re) re) re))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) im (-.f64 (*.f64 (*.f64 (*.f64 re re) re) re) (*.f64 (*.f64 (*.f64 im re) re) im)))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) im) im (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) re) re) re))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) re) re (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 (-.f64 re im) (+.f64 im re)) (*.f64 (fma.f64 im im (*.f64 re re)) (*.f64 (-.f64 re im) (+.f64 im re))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 (*.f64 re re) re) re (*.f64 (*.f64 im im) (-.f64 (*.f64 im im) (*.f64 re re)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) im) im) im) im (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) re) re) re)))))
(sqrt.f64 (fma.f64 im im (*.f64 re re)))
(hypot.f64 (exp.f64 (log.f64 re)) (neg.f64 im))
(hypot.f64 (exp.f64 (log.f64 re)) im)
(hypot.f64 (neg.f64 im) (exp.f64 (log.f64 re)))
(hypot.f64 (neg.f64 im) re)
(hypot.f64 im (exp.f64 (log.f64 re)))
(hypot.f64 im re)
(hypot.f64 re (neg.f64 im))
(hypot.f64 re im)
(exp.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)))
#s(literal 0 binary64)
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 (log.f64 base))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64))
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eval461.0ms (3.1%)

Memory
14.1MiB live, 560.9MiB allocated
Compiler

Compiled 71 834 to 5 050 computations (93% saved)

prune499.0ms (3.4%)

Memory
-15.3MiB live, 760.0MiB allocated
Pruning

31 alts after pruning (25 fresh and 6 done)

PrunedKeptTotal
New2 156112 167
Fresh81422
Picked325
Done044
Total2 167312 198
Accuracy
100.0%
Counts
2 198 → 31
Alt Table
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StatusAccuracyProgram
52.6%
(pow.f64 (pow.f64 #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
98.9%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base)))))
99.2%
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
49.0%
(/.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 base))
✓98.7%
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64)))
98.9%
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
98.8%
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)))
97.0%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal -1 binary64))) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))))
✓99.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im))))
99.0%
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))
46.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 im)) (sqrt.f64 (log.f64 base)))))
98.9%
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))))
98.6%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))))
98.9%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))))))
98.9%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
✓99.0%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))))
98.7%
(*.f64 (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
52.7%
(exp.f64 (*.f64 (log.f64 #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im)))) #s(literal -1 binary64)))
46.8%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
99.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im))))
46.8%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (neg.f64 (log.f64 im)) (*.f64 (sqrt.f64 (log.f64 base)) (neg.f64 (sqrt.f64 (log.f64 base))))))
✓99.4%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
99.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
✓99.2%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
35.5%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (- (log (sqrt (+ (* (* (* im im) im) (* (* im im) im)) (* (* (* re re) re) (* (* re re) re))))) (log (sqrt (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im))))) (-.f64 (log.f64 (*.f64 (*.f64 im im) im)) (log.f64 (*.f64 im im)))) (log.f64 base)))
46.8%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im)))
46.9%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) #s(approx (/ 1 (sqrt (log base))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))))
46.7%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) (log.f64 im)))
46.8%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 im))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))))
✓99.0%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
46.4%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im)))
Compiler

Compiled 1 535 to 525 computations (65.8% saved)

regimes136.0ms (0.9%)

Memory
16.8MiB live, 208.2MiB allocated
Counts
70 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))))
(/.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 base))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) (log.f64 im)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (- (log (sqrt (+ (* (* (* im im) im) (* (* im im) im)) (* (* (* re re) re) (* (* re re) re))))) (log (sqrt (+ (* (* (* re re) (+ re im)) (- re im)) (* (* (* im im) im) im))))) (-.f64 (log.f64 (*.f64 (*.f64 im im) im)) (log.f64 (*.f64 im im)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (neg.f64 (log.f64 im)) (*.f64 (sqrt.f64 (log.f64 base)) (neg.f64 (sqrt.f64 (log.f64 base))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) #s(approx (/ 1 (sqrt (log base))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) (log.f64 im)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 im)) (sqrt.f64 (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 im))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))))
(pow.f64 (pow.f64 #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im)))) #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (-.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))))) (log.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 re re) (+.f64 re im)) (-.f64 re im) (*.f64 (*.f64 (*.f64 im im) im) im))))) (log.f64 base)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64))) (log.f64 base))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64))) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re)))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base)))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (log.f64 base) (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 im))))
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) (log.f64 im))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)))
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (*.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re)))) (pow.f64 (log.f64 base) #s(literal -6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal -1 binary64))) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im)))))
(*.f64 (/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal -1 binary64))) #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
Calls

5 calls:

47.0ms
(log.f64 base)
23.0ms
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
22.0ms
im
21.0ms
base
20.0ms
re
Results
AccuracySegmentsBranch
99.4%1re
99.4%1im
99.4%1base
99.4%1(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.4%1(log.f64 base)
Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes24.0ms (0.2%)

Memory
-34.0MiB live, 23.7MiB allocated
Accuracy

Total -32.3b remaining (-6010.5%)

Threshold costs -32.3b (-6010.5%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))))
(/.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 base))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))
Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
Calls

5 calls:

9.0ms
(log.f64 base)
3.0ms
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
3.0ms
im
3.0ms
base
3.0ms
re
Results
AccuracySegmentsBranch
99.2%1re
99.2%1im
99.2%1base
99.2%1(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.2%1(log.f64 base)
Compiler

Compiled 48 to 31 computations (35.4% saved)

simplify5.0ms (0%)

Memory
10.3MiB live, 10.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

soundness283.0ms (1.9%)

Memory
-8.4MiB live, 259.2MiB allocated
Rules
12 210×lower-fma.f64
12 210×lower-fma.f32
6 312×lower-fma.f32
6 308×lower-fma.f64
5 052×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052241
083187
1204164
21152154
08511154
02992912
18402860
226412828
363302818
080952516
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 54 to 33 computations (38.9% saved)

preprocess49.0ms (0.3%)

Memory
26.3MiB live, 105.0MiB allocated
Remove

(sort re im)

(abs re)

(abs im)

Compiler

Compiled 162 to 96 computations (40.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...