math.log/2 on complex, real part

Time bar (total: 14.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze177.0ms (1.2%)

Memory
-7.4MiB live, 322.6MiB 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 (11.1%)

Memory
1.0MiB live, 2 620.1MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 910.0ms
ival-log: 241.0ms (26.5% of total)
ival-mult: 203.0ms (22.3% of total)
ival-hypot: 185.0ms (20.3% of total)
ival-add: 105.0ms (11.5% of total)
ival-atan2: 96.0ms (10.5% of total)
ival-div: 63.0ms (6.9% of total)
ival-true: 7.0ms (0.8% of total)
exact: 6.0ms (0.7% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain392.0ms (2.7%)

Memory
13.4MiB live, 533.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1500-2(7.909029054497553e-206 1.8391949462611647e-162 1.2842184677370696e+269)(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-rescue1320
↳(+.f64 (*.f64 re re) (*.f64 im im))overflow132
↳(*.f64 re re)overflow69
↳(*.f64 im im)overflow82
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))uflow-rescue160
↳(+.f64 (*.f64 re re) (*.f64 im im))underflow16
↳(*.f64 re re)underflow65
↳(*.f64 im im)underflow52
Confusion
Predicted +Predicted -
+1482
-0106
Precision
1.0
Recall
0.9866666666666667
Confusion?
Predicted +Predicted MaybePredicted -
+14802
-00106
Precision?
1.0
Recall?
0.9866666666666667
Freqs
test
numberfreq
0108
1148
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
125.0ms512×0valid
Compiler

Compiled 273 to 58 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-log: 28.0ms (42.3% of total)
ival-mult: 15.0ms (22.7% of total)
ival-hypot: 9.0ms (13.6% of total)
ival-add: 6.0ms (9.1% of total)
ival-atan2: 4.0ms (6% of total)
ival-div: 3.0ms (4.5% of total)
ival-true: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess257.0ms (1.8%)

Memory
9.1MiB live, 279.1MiB 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
3461125
4853113
51595113
64828113
77493113
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 re re (*.f64 im im)))) (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
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶43.2%
(/.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)

simplify224.0ms (1.5%)

Memory
3.9MiB live, 282.4MiB 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 re re (*.f64 im im)))) (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 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.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 (+.f64 (*.f64 re re) (*.f64 im im))))
(log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(sqrt.f64 (fma.f64 re re (*.f64 im im)))
(+.f64 (*.f64 re re) (*.f64 im im))
(fma.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))
#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)

localize70.0ms (0.5%)

Memory
-22.6MiB live, 162.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.28515625
(/.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))))
accuracy0.38119125976844204
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))
accuracy0.4912300293053261
(*.f64 (log.f64 base) (log.f64 base))
accuracy34.75646711058803
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Samples
45.0ms256×0valid
Compiler

Compiled 121 to 20 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 15.0ms (45.8% of total)
ival-log: 6.0ms (18.3% of total)
ival-add: 4.0ms (12.2% of total)
ival-hypot: 4.0ms (12.2% of total)
ival-atan2: 2.0ms (6.1% of total)
ival-div: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series92.0ms (0.6%)

Memory
14.3MiB live, 169.8MiB 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 im) (log base)) (taylor 0 re) (#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 (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base))) (taylor 0 re) (#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 (+ (* (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))) (taylor 0 re) (#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 (+ (* (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))) (taylor 0 re) (#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 (* -1 (/ (log (/ 1 re)) (log base))) (taylor inf re) (#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 (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) (taylor inf re) (#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 (+ (* -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)))))) (taylor inf re) (#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 (+ (* -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))))))) (taylor inf re) (#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>) () ())) ())
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#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) (taylor inf 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 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) (taylor inf 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 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) (taylor inf 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 (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) (taylor inf 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 (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf 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 (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf 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 (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf 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 (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf 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>) () ())) ())
Calls

42 calls:

TimeVariablePointExpression
51.0ms
base
@0
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
15.0ms
base
@-inf
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
7.0ms
base
@inf
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
3.0ms
im
@0
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
2.0ms
re
@0
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))

simplify254.0ms (1.7%)

Memory
2.1MiB live, 342.5MiB 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
226542828
363992818
081642516
Stop Event
1×iter limit
1×node limit
Counts
168 → 164
Calls
Call 1
Inputs
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(* (log base) (log im))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(* -1 (* (log base) (log (/ 1 re))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* -1 (* (log base) (log (/ -1 re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(* -1 (* (log base) (log (/ 1 im))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (log base) (log im))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(* -1 (* (log base) (log (/ 1 re))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* -1 (* (log base) (log (/ -1 re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(* -1 (* (log base) (log (/ 1 im))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
Outputs
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(fma.f64 re (*.f64 re (fma.f64 re (*.f64 re (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))
(* -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 im (/.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 (*.f64 (log.f64 base) re) re)) (/.f64 (log.f64 re) (log.f64 base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re))) (/.f64 (log.f64 re) (log.f64 base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 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 im im) (fma.f64 (*.f64 im im) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (log.f64 re) (log.f64 base))))
(* -1 (/ (log (/ -1 re)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(fma.f64 (*.f64 im im) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(-.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re))) (/.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 120 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
(/ (log re) (log base))
(/.f64 (log.f64 re) (log.f64 base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(fma.f64 im (/.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 (*.f64 (log.f64 base) re) re)) (/.f64 (log.f64 re) (log.f64 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)))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re))) (/.f64 (log.f64 re) (log.f64 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)))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re))) (/.f64 (log.f64 re) (log.f64 base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))) (/.f64 (log.f64 im) (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 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* -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)))))))
(fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (log.f64 im) (log.f64 base))))
(* -1 (/ (log (/ -1 im)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im (*.f64 im (log.f64 base)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (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 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (/.f64 (log.f64 (/.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)))))))
(fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (-.f64 (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
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 (log.f64 im) (log.f64 base) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re)) (*.f64 im 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))))))
(fma.f64 (*.f64 re re) (fma.f64 (log.f64 base) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 (*.f64 re re) (/.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))))) (*.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 re (*.f64 re (fma.f64 (*.f64 re re) (fma.f64 (log.f64 base) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (log.f64 base) re) re)) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 im im)))) (*.f64 (log.f64 im) (log.f64 base)))
(* -1 (* (log base) (log (/ 1 re))))
(*.f64 (log.f64 base) (log.f64 re))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(fma.f64 (/.f64 (log.f64 base) (*.f64 re re)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 (log.f64 base) (log.f64 re)))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(fma.f64 (log.f64 base) (log.f64 re) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) im) (/.f64 im (*.f64 re re))) (/.f64 (*.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))) (*.f64 (*.f64 re re) (*.f64 re re)))))
(+ (* -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 (log.f64 base) (log.f64 re) (fma.f64 (log.f64 base) (/.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 120 binary64)) (pow.f64 re #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) im) (/.f64 im (*.f64 re re))) (/.f64 (*.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))) (*.f64 (*.f64 re re) (*.f64 re re))))))
(* -1 (* (log base) (log (/ -1 re))))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base)))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(fma.f64 (/.f64 (log.f64 base) (*.f64 re re)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (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)))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) im) (/.f64 im (*.f64 re re))) (/.f64 (*.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))) (*.f64 (*.f64 re re) (*.f64 re re)))) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))))
(+ (* -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))))))
(-.f64 (fma.f64 (log.f64 base) (/.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 120 binary64)) (pow.f64 re #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) im) (/.f64 im (*.f64 re re))) (/.f64 (*.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))) (*.f64 (*.f64 re re) (*.f64 re re))))) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))))
(* (log base) (log re))
(*.f64 (log.f64 base) (log.f64 re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(fma.f64 (/.f64 (log.f64 base) (*.f64 re re)) (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 (log.f64 base) (log.f64 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))))))
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(*.f64 (log.f64 im) (log.f64 base))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(fma.f64 (log.f64 im) (log.f64 base) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re)) (*.f64 im im)))
(+ (* -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 im) (log.f64 base) (fma.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re)) (*.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 im) (log.f64 base) (fma.f64 (log.f64 base) (*.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (/.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) 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 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re)) (*.f64 im im)))
(+ (* -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 (*.f64 re re) (*.f64 re re)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) re) re)) (*.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 (*.f64 (*.f64 re re) (*.f64 re re)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))) (fma.f64 (log.f64 base) (*.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (/.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 base) 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 im im (*.f64 re re)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))

rewrite374.0ms (2.6%)

Memory
-1.5MiB live, 366.3MiB 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
268655
3624355
0826635
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 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 0 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(+.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))) (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 0 binary64))
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(fma.f64 (log.f64 base) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
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(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)))))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal -2 binary64))))
(*.f64 (/.f64 (*.f64 (log.f64 base) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64))) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))))
(*.f64 (/.f64 (*.f64 (log.f64 base) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (/.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 3 binary64))) (/.f64 (*.f64 (log.f64 base) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal -2 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 3 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 2 binary64))))
(*.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 6 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 4 binary64)))
(*.f64 (/.f64 (*.f64 (log.f64 base) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 3 binary64))) (/.f64 (log.f64 base) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal -2 binary64))))

eval329.0ms (2.3%)

Memory
15.4MiB live, 269.1MiB allocated
Compiler

Compiled 69 932 to 3 237 computations (95.4% saved)

prune385.0ms (2.6%)

Memory
-12.3MiB live, 352.5MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1 641151 656
Fresh000
Picked101
Done000
Total1 642151 657
Accuracy
99.7%
Counts
1 657 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.1%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)))))
▶43.2%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)))))
▶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))))
43.1%
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (log.f64 base) #s(literal 6 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 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
43.2%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (log.f64 base)))))
43.2%
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64))))
43.1%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))))
43.2%
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
▶43.3%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (log.f64 base))
43.2%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))
41.3%
(*.f64 (*.f64 (log.f64 base) (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64))) (/.f64 (log.f64 base) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
▶43.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
43.3%
#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)))
▶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) (log.f64 base)))
Compiler

Compiled 648 to 400 computations (38.3% saved)

simplify177.0ms (1.2%)

Memory
30.6MiB live, 143.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 base)
cost-diff0
(/.f64 #s(literal 1 binary64) (log.f64 base))
cost-diff1088
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)))))
cost-diff13440
(/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))))
cost-diff0
(log.f64 (fma.f64 re re (*.f64 im im)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))
cost-diff320
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
cost-diff12864
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
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)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))
cost-diff12800
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.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)))
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-diff13184
(/.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))))
Rules
3 810×lower-*.f32
3 792×lower-*.f64
2 554×lower-fma.f32
2 552×lower-fma.f64
2 060×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
051324
081300
1113292
2188267
3447255
4774255
52040255
62567255
73117255
83173255
93235255
103321255
114958255
125236255
137540255
08486255
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)) (*.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))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (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 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))
#s(literal 1/2 binary64)
(log.f64 (fma.f64 re re (*.f64 im im)))
(fma.f64 re re (*.f64 im im))
re
(*.f64 im im)
im
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))
#s(literal 1/2 binary64)
(log.f64 (fma.f64 re re (*.f64 im im)))
(fma.f64 re re (*.f64 im im))
re
(*.f64 im im)
im
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(log.f64 base)
base
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
(/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)))
#s(literal 1/2 binary64)
(*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))
(log.f64 (fma.f64 re re (*.f64 im im)))
(fma.f64 re re (*.f64 im im))
re
(*.f64 im im)
im
Outputs
(/.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)))
(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(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (log.f64 base))
(/.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (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)
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))
#s(literal 1/2 binary64)
(log.f64 (fma.f64 re re (*.f64 im im)))
(fma.f64 re re (*.f64 im im))
re
(*.f64 im im)
im
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))
#s(literal 1/2 binary64)
(log.f64 (fma.f64 re re (*.f64 im im)))
(fma.f64 re re (*.f64 im im))
re
(*.f64 im im)
im
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log.f64 base)
base
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)))))
(/.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
(/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))))
(/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)))
(*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im))))
(log.f64 (fma.f64 re re (*.f64 im im)))
(fma.f64 re re (*.f64 im im))
re
(*.f64 im im)
im

localize221.0ms (1.5%)

Memory
-1.8MiB live, 155.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.360038769536884
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)))))
accuracy0.36556625976844204
(/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))))
accuracy0.38119125976844204
(*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))
accuracy36.14704267549526
(log.f64 (fma.f64 re re (*.f64 im im)))
accuracy0.3366012695368841
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy0.354511279305326
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
accuracy0.4912300293053261
(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy36.14704267549526
(log.f64 (fma.f64 re re (*.f64 im im)))
accuracy0.379570019536884
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (log.f64 base))
accuracy0.40072250976844204
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))
accuracy0.4918937988422102
(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy36.14704267549526
(log.f64 (fma.f64 re re (*.f64 im im)))
accuracy0
(log.f64 im)
accuracy0
(log.f64 base)
accuracy0.29708800339395225
#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)))
accuracy0.3405075195368841
(/.f64 (log.f64 im) (log.f64 base))
accuracy0
(log.f64 base)
accuracy0.28515625
(/.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))))
accuracy0.38119125976844204
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
accuracy0.4912300293053261
(*.f64 (log.f64 base) (log.f64 base))
Samples
110.0ms256×0valid
Compiler

Compiled 373 to 39 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-add: 22.0ms (28.1% of total)
ival-div: 17.0ms (21.7% of total)
ival-mult: 15.0ms (19.1% of total)
ival-log: 12.0ms (15.3% of total)
ival-hypot: 5.0ms (6.4% of total)
ival-pow: 4.0ms (5.1% of total)
ival-atan2: 2.0ms (2.6% of total)
ival-pow2: 2.0ms (2.6% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series301.0ms (2.1%)

Memory
-20.5MiB live, 188.6MiB allocated
Counts
22 → 528
Calls
Call 1
Inputs
#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 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (patch (*.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)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 im) (log.f64 base)) (patch (/.f64 (log.f64 im) (log.f64 base)) #<representation binary64>) () ())
#s(alt (log.f64 im) (patch (log.f64 im) #<representation binary64>) () ())
#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (log.f64 base)) (patch (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (log.f64 base)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (patch (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal -2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (patch (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (patch (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #<representation binary64>) () ())
#s(alt (log.f64 (fma.f64 re re (*.f64 im im))) (patch (log.f64 (fma.f64 re re (*.f64 im im))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)))) (patch (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))))) #<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 (*.f64 (log.f64 base) (log.f64 base)) (patch (*.f64 (log.f64 base) (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 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) (patch (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #<representation binary64>) () ())
Outputs
#s(alt (/ (log im) (log base)) (taylor 0 re) (#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 (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base))) (taylor 0 re) (#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 (+ (* (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))) (taylor 0 re) (#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 (+ (* (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))) (taylor 0 re) (#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 (* -1 (/ (log (/ 1 re)) (log base))) (taylor inf re) (#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 (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) (taylor inf re) (#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 (+ (* -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)))))) (taylor inf re) (#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 (+ (* -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))))))) (taylor inf re) (#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 (* -1 (/ (log (/ -1 re)) (log base))) (taylor -inf re) (#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>) () ())) ())
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#s(alt (* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base)))) (taylor inf base) (#s(alt (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) (patch (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf base) (#s(alt (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) (patch (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf base) (#s(alt (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) (patch (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf base) (#s(alt (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) (patch (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf base) (#s(alt (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) (patch (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #<representation binary64>) () ())) ())
Calls

132 calls:

TimeVariablePointExpression
70.0ms
im
@0
(/ (log im) (log base))
45.0ms
im
@-inf
(/ (log im) (log base))
44.0ms
re
@-inf
(/ (log base) (* 1/2 (* (log (+ (* re re) (* im im))) (log base))))
25.0ms
base
@0
(* (* (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (log base))
13.0ms
base
@0
(/ (log im) (log base))

simplify469.0ms (3.2%)

Memory
32.8MiB live, 411.6MiB allocated
Algorithm
1×egg-herbie
Rules
9 736×lower-fma.f64
9 736×lower-fma.f32
5 932×lower-*.f64
5 932×lower-*.f32
3 880×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08399968
123709730
275949710
080999098
Stop Event
1×iter limit
1×node limit
Counts
528 → 524
Calls
Call 1
Inputs
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(log im)
(log im)
(log im)
(log im)
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(log base)
(log base)
(log base)
(log base)
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(* 1/2 (/ (log (pow im 2)) (log base)))
(+ (* 1/2 (/ (log (pow im 2)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* 1/2 (/ (log (pow im 2)) (log base))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))))
(+ (* 1/2 (/ (log (pow im 2)) (log base))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* 1/2 (/ (log (pow re 2)) (log base)))
(+ (* 1/2 (/ (log (pow re 2)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* 1/2 (/ (log (pow re 2)) (log base))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))))
(+ (* 1/2 (/ (log (pow re 2)) (log base))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
(* 1/2 (/ (log (pow im 2)) (pow (log base) 2)))
(+ (* 1/2 (/ (log (pow im 2)) (pow (log base) 2))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))
(+ (* 1/2 (/ (log (pow im 2)) (pow (log base) 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (pow (log base) 2)))) (* 1/2 (/ 1 (* (pow im 2) (pow (log base) 2)))))))
(+ (* 1/2 (/ (log (pow im 2)) (pow (log base) 2))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log base) 2)))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log base) 2)))))))
(* -1 (/ (log (/ 1 re)) (pow (log base) 2)))
(+ (* -1 (/ (log (/ 1 re)) (pow (log base) 2))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))))
(+ (* -1 (/ (log (/ 1 re)) (pow (log base) 2))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 2)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2))))))
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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))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (log base) (log im))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(* -1 (* (log base) (log (/ 1 re))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* -1 (* (log base) (log (/ -1 re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(* -1 (* (log base) (log (/ 1 im))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (log base) (log (pow im 2)))
(+ (* (log base) (log (pow im 2))) (/ (* (pow re 2) (log base)) (pow im 2)))
(+ (* (log base) (log (pow im 2))) (* (pow re 2) (+ (* -1/2 (/ (* (pow re 2) (log base)) (pow im 4))) (/ (log base) (pow im 2)))))
(+ (* (log base) (log (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (+ (* -1/2 (/ (log base) (pow im 4))) (* 1/3 (/ (* (pow re 2) (log base)) (pow im 6))))) (/ (log base) (pow im 2)))))
(* -2 (* (log base) (log (/ 1 re))))
(+ (* -2 (* (log base) (log (/ 1 re)))) (/ (* (pow im 2) (log base)) (pow re 2)))
(+ (* -2 (* (log base) (log (/ 1 re)))) (+ (* -1/2 (/ (* (pow im 4) (log base)) (pow re 4))) (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -2 (* (log base) (log (/ 1 re)))) (+ (* -1/2 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/3 (/ (* (pow im 6) (log base)) (pow re 6))) (/ (* (pow im 2) (log base)) (pow re 2)))))
(* -2 (* (log base) (log (/ -1 re))))
(+ (* -2 (* (log base) (log (/ -1 re)))) (/ (* (pow im 2) (log base)) (pow re 2)))
(+ (* -2 (* (log base) (log (/ -1 re)))) (+ (* -1/2 (/ (* (pow im 4) (log base)) (pow re 4))) (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -2 (* (log base) (log (/ -1 re)))) (+ (* -1/2 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/3 (/ (* (pow im 6) (log base)) (pow re 6))) (/ (* (pow im 2) (log base)) (pow re 2)))))
(* (log base) (log (pow re 2)))
(+ (* (log base) (log (pow re 2))) (/ (* (pow im 2) (log base)) (pow re 2)))
(+ (* (log base) (log (pow re 2))) (* (pow im 2) (+ (* -1/2 (/ (* (pow im 2) (log base)) (pow re 4))) (/ (log base) (pow re 2)))))
(+ (* (log base) (log (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (+ (* -1/2 (/ (log base) (pow re 4))) (* 1/3 (/ (* (pow im 2) (log base)) (pow re 6))))) (/ (log base) (pow re 2)))))
(* -2 (* (log base) (log (/ 1 im))))
(+ (* -2 (* (log base) (log (/ 1 im)))) (/ (* (pow re 2) (log base)) (pow im 2)))
(+ (* -2 (* (log base) (log (/ 1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -2 (* (log base) (log (/ 1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/3 (/ (* (pow re 6) (log base)) (pow im 6))) (/ (* (pow re 2) (log base)) (pow im 2)))))
(* -2 (* (log base) (log (/ -1 im))))
(+ (* -2 (* (log base) (log (/ -1 im)))) (/ (* (pow re 2) (log base)) (pow im 2)))
(+ (* -2 (* (log base) (log (/ -1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -2 (* (log base) (log (/ -1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/3 (/ (* (pow re 6) (log base)) (pow im 6))) (/ (* (pow re 2) (log base)) (pow im 2)))))
(* (log base) (log (+ (pow im 2) (pow re 2))))
(* (log base) (log (+ (pow im 2) (pow re 2))))
(* (log base) (log (+ (pow im 2) (pow re 2))))
(* (log base) (log (+ (pow im 2) (pow re 2))))
(* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))
Outputs
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(fma.f64 (*.f64 re re) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (/.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 #s(literal 1/2 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re))) (/.f64 (log.f64 re) (log.f64 base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64)))) (/.f64 (log.f64 re) (log.f64 base))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(+.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64)))) (/.f64 (log.f64 re) (log.f64 base))))
(* -1 (/ (log (/ -1 re)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re))) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
(/ (log re) (log base))
(/.f64 (log.f64 re) (log.f64 base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re))) (/.f64 (log.f64 re) (log.f64 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)))
(fma.f64 (*.f64 im im) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) (*.f64 re re)))) (/.f64 (log.f64 re) (log.f64 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)))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) (*.f64 re re)))) (/.f64 (log.f64 re) (log.f64 base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))) (/.f64 (log.f64 im) (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 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (log.f64 im) (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 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (log.f64 im) (log.f64 base))))
(* -1 (/ (log (/ -1 im)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im (*.f64 im (log.f64 base)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (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))))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (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)))))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
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(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 (*.f64 im im) #s(literal 1/6 binary64)) (/.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64))) (/.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (/.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 re re))) (*.f64 (log.f64 base) (log.f64 re)))
(* -1 (* (log base) (log (/ 1 im))))
(*.f64 (log.f64 im) (log.f64 base))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(fma.f64 (log.f64 im) (log.f64 base) (*.f64 (/.f64 (log.f64 base) (*.f64 im im)) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))
(+ (* -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 im) (log.f64 base) (fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (/.f64 (log.f64 base) (*.f64 im im)) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))))
(+ (* -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 im) (log.f64 base) (fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/720 binary64) (log.f64 base)) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 im #s(literal 6 binary64))) (*.f64 (/.f64 (log.f64 base) (*.f64 im im)) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))))
(* -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 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)) (*.f64 (/.f64 (log.f64 base) (*.f64 im im)) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))
(+ (* -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)))))
(-.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (/.f64 (log.f64 base) (*.f64 im im)) (*.f64 #s(literal 1/2 binary64) (*.f64 re re)))) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) 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))))))
(-.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/720 binary64) (log.f64 base)) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 im #s(literal 6 binary64))) (*.f64 (/.f64 (log.f64 base) (*.f64 im im)) (*.f64 #s(literal 1/2 binary64) (*.f64 re re))))) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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 (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(* (log base) (log (pow im 2)))
(*.f64 (log.f64 base) (log.f64 (*.f64 im im)))
(+ (* (log base) (log (pow im 2))) (/ (* (pow re 2) (log base)) (pow im 2)))
(fma.f64 (log.f64 base) (/.f64 (*.f64 re re) (*.f64 im im)) (*.f64 (log.f64 base) (log.f64 (*.f64 im im))))
(+ (* (log base) (log (pow im 2))) (* (pow re 2) (+ (* -1/2 (/ (* (pow re 2) (log base)) (pow im 4))) (/ (log base) (pow im 2)))))
(fma.f64 (log.f64 base) (log.f64 (*.f64 im im)) (*.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (/.f64 (*.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 base) (*.f64 im im)))))
(+ (* (log base) (log (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (+ (* -1/2 (/ (log base) (pow im 4))) (* 1/3 (/ (* (pow re 2) (log base)) (pow im 6))))) (/ (log base) (pow im 2)))))
(fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/3 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64))))) (/.f64 (log.f64 base) (*.f64 im im))) (*.f64 (log.f64 base) (log.f64 (*.f64 im im))))
(* -2 (* (log base) (log (/ 1 re))))
(*.f64 (log.f64 base) (neg.f64 (*.f64 (log.f64 re) #s(literal -2 binary64))))
(+ (* -2 (* (log base) (log (/ 1 re)))) (/ (* (pow im 2) (log base)) (pow re 2)))
(fma.f64 (log.f64 base) (/.f64 (*.f64 im im) (*.f64 re re)) (*.f64 (log.f64 base) (neg.f64 (*.f64 (log.f64 re) #s(literal -2 binary64)))))
(+ (* -2 (* (log base) (log (/ 1 re)))) (+ (* -1/2 (/ (* (pow im 4) (log base)) (pow re 4))) (/ (* (pow im 2) (log base)) (pow re 2))))
(fma.f64 (log.f64 base) (/.f64 (*.f64 im im) (*.f64 re re)) (fma.f64 (log.f64 base) (neg.f64 (*.f64 (log.f64 re) #s(literal -2 binary64))) (/.f64 (*.f64 (*.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64)))))
(+ (* -2 (* (log base) (log (/ 1 re)))) (+ (* -1/2 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/3 (/ (* (pow im 6) (log base)) (pow re 6))) (/ (* (pow im 2) (log base)) (pow re 2)))))
(-.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/3 binary64)) (/.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64))) (*.f64 (log.f64 base) (/.f64 (*.f64 im im) (*.f64 re re))))) (*.f64 (*.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 re)))
(* -2 (* (log base) (log (/ -1 re))))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (*.f64 (log.f64 base) #s(literal -2 binary64)))
(+ (* -2 (* (log base) (log (/ -1 re)))) (/ (* (pow im 2) (log base)) (pow re 2)))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (*.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (/.f64 (*.f64 im im) (*.f64 re re))))
(+ (* -2 (* (log base) (log (/ -1 re)))) (+ (* -1/2 (/ (* (pow im 4) (log base)) (pow re 4))) (/ (* (pow im 2) (log base)) (pow re 2))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (*.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (/.f64 (*.f64 im im) (*.f64 re re)))))
(+ (* -2 (* (log base) (log (/ -1 re)))) (+ (* -1/2 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/3 (/ (* (pow im 6) (log base)) (pow re 6))) (/ (* (pow im 2) (log base)) (pow re 2)))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (*.f64 (log.f64 base) #s(literal -2 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/3 binary64)) (/.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64))) (*.f64 (log.f64 base) (/.f64 (*.f64 im im) (*.f64 re re))))))
(* (log base) (log (pow re 2)))
(*.f64 (log.f64 base) (log.f64 (*.f64 re re)))
(+ (* (log base) (log (pow re 2))) (/ (* (pow im 2) (log base)) (pow re 2)))
(fma.f64 (log.f64 base) (/.f64 (*.f64 im im) (*.f64 re re)) (*.f64 (log.f64 base) (log.f64 (*.f64 re re))))
(+ (* (log base) (log (pow re 2))) (* (pow im 2) (+ (* -1/2 (/ (* (pow im 2) (log base)) (pow re 4))) (/ (log base) (pow re 2)))))
(fma.f64 (log.f64 base) (log.f64 (*.f64 re re)) (*.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (/.f64 (*.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 base) (*.f64 re re)))))
(+ (* (log base) (log (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (+ (* -1/2 (/ (log base) (pow re 4))) (* 1/3 (/ (* (pow im 2) (log base)) (pow re 6))))) (/ (log base) (pow re 2)))))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 im im) #s(literal 1/3 binary64)) (/.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64))))) (/.f64 (log.f64 base) (*.f64 re re))) (*.f64 (log.f64 base) (log.f64 (*.f64 re re))))
(* -2 (* (log base) (log (/ 1 im))))
(*.f64 (neg.f64 (log.f64 im)) (*.f64 (log.f64 base) #s(literal -2 binary64)))
(+ (* -2 (* (log base) (log (/ 1 im)))) (/ (* (pow re 2) (log base)) (pow im 2)))
(fma.f64 (log.f64 base) (/.f64 (*.f64 re re) (*.f64 im im)) (*.f64 (neg.f64 (log.f64 im)) (*.f64 (log.f64 base) #s(literal -2 binary64))))
(+ (* -2 (* (log base) (log (/ 1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (/ (* (pow re 2) (log base)) (pow im 2))))
(fma.f64 (log.f64 base) (neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64))) (fma.f64 (log.f64 base) (/.f64 (*.f64 re re) (*.f64 im im)) (*.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(+ (* -2 (* (log base) (log (/ 1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/3 (/ (* (pow re 6) (log base)) (pow im 6))) (/ (* (pow re 2) (log base)) (pow im 2)))))
(fma.f64 (log.f64 base) (neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64))) (fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64))) (*.f64 (log.f64 base) (/.f64 (*.f64 re re) (*.f64 im im))))))
(* -2 (* (log base) (log (/ -1 im))))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (*.f64 (log.f64 base) #s(literal -2 binary64)))
(+ (* -2 (* (log base) (log (/ -1 im)))) (/ (* (pow re 2) (log base)) (pow im 2)))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (*.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (/.f64 (*.f64 re re) (*.f64 im im))))
(+ (* -2 (* (log base) (log (/ -1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (/ (* (pow re 2) (log base)) (pow im 2))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (*.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (/.f64 (*.f64 re re) (*.f64 im im)))))
(+ (* -2 (* (log base) (log (/ -1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/3 (/ (* (pow re 6) (log base)) (pow im 6))) (/ (* (pow re 2) (log base)) (pow im 2)))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (*.f64 (log.f64 base) #s(literal -2 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64))) (*.f64 (log.f64 base) (/.f64 (*.f64 re re) (*.f64 im im))))))
(* (log base) (log (+ (pow im 2) (pow re 2))))
(*.f64 (log.f64 base) (log.f64 (fma.f64 im im (*.f64 re re))))
(* (log base) (log (+ (pow im 2) (pow re 2))))
(*.f64 (log.f64 base) (log.f64 (fma.f64 im im (*.f64 re re))))
(* (log base) (log (+ (pow im 2) (pow re 2))))
(*.f64 (log.f64 base) (log.f64 (fma.f64 im im (*.f64 re re))))
(* (log base) (log (+ (pow im 2) (pow re 2))))
(*.f64 (log.f64 base) (log.f64 (fma.f64 im im (*.f64 re re))))
(* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (fma.f64 im im (*.f64 re re))))
(* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (fma.f64 im im (*.f64 re re))))
(* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (fma.f64 im im (*.f64 re re))))
(* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (fma.f64 im im (*.f64 re re))))
(* (log (+ (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 (fma.f64 im im (*.f64 re re))))
(* (log (+ (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 (fma.f64 im im (*.f64 re re))))
(* (log (+ (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 (fma.f64 im im (*.f64 re re))))
(* (log (+ (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 (fma.f64 im im (*.f64 re re))))

rewrite637.0ms (4.4%)

Memory
-25.8MiB live, 832.7MiB allocated
Rules
5 416×lower-fma.f32
5 414×lower-fma.f64
4 746×lower-*.f32
4 728×lower-*.f64
3 768×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051206
081178
1207153
21156118
08388118
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 4 487
Calls
Call 1
Inputs
(/.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)
(*.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) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
(log.f64 base)
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))
(log.f64 (fma.f64 re re (*.f64 im im)))
(/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
(+.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 0 binary64))
(+.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (*.f64 (*.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(+.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64)))
(+.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(+.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(+.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
(+.f64 (*.f64 (*.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
(+.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(+.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(+.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal -1/2 binary64)) (log.f64 base)))
(-.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 0 binary64))
(-.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))) (/.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal -1/2 binary64)) (log.f64 base)))
(fma.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (*.f64 (*.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(fma.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
(fma.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 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)))
(fma.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(fma.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) (*.f64 (*.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 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 1/2 binary64) (/.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) (*.f64 (*.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 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 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (*.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(fma.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64)))
(fma.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
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(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(neg.f64 (/.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base))
(/.f64 (pow.f64 (log.f64 base) #s(literal 18 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 12 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (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 4 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (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))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(/.f64 (-.f64 (neg.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 (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 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 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 base)) (log.f64 base))
(/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base))) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 18 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal 12 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(/.f64 (/.f64 (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 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (log.f64 base)) (neg.f64 (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 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (neg.f64 (log.f64 base))) (log.f64 base))
(/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(*.f64 (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 6 binary64)) (pow.f64 (log.f64 base) #s(literal 12 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (*.f64 (log.f64 base) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 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 4 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im))))
(*.f64 (log.f64 base) (*.f64 #s(literal 1 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))
(*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))
(*.f64 (*.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (log.f64 (fma.f64 re re (*.f64 im im)))))
(*.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))

eval1.4s (9.5%)

Memory
26.7MiB live, 2 191.1MiB allocated
Compiler

Compiled 179 343 to 8 457 computations (95.3% saved)

prune764.0ms (5.2%)

Memory
-7.9MiB live, 1 301.4MiB allocated
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New6 222216 243
Fresh10010
Picked415
Done000
Total6 236226 258
Accuracy
100.0%
Counts
6 258 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (log (+ (* re re) (* im im))) (neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64)))) (log.f64 base)))))
98.9%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (/ (log base) (* 1/2 (* (log (+ (* re re) (* im im))) (log base)))) (/.f64 #s(literal 1 binary64) (log.f64 im))))
49.8%
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.1%
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶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))))
43.2%
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
43.3%
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
98.9%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 base))
▶23.5%
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
98.9%
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 base))
98.8%
(*.f64 #s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
▶49.6%
#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))))
49.6%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
98.7%
#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 (pow.f64 (log.f64 base) #s(literal 18 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (pow.f64 (log.f64 base) #s(literal 12 binary64))))))
▶98.6%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))))
98.9%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
98.7%
#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 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
98.6%
#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 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 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) (log.f64 base)))
49.3%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
98.8%
#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))))
▶98.9%
#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)))
Compiler

Compiled 747 to 496 computations (33.6% saved)

simplify120.0ms (0.8%)

Memory
0.1MiB live, 155.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 im)
cost-diff0
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))))
cost-diff384
(/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))))
cost-diff6976
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
cost-diff0
(log.f64 (fma.f64 re re (*.f64 im im)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))
cost-diff320
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
cost-diff12224
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
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))) (sqrt.f64 (log.f64 base))))
cost-diff8384
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
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-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-diff5120
(hypot.f64 re im)
cost-diff6208
(/.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))))
Rules
2 780×lower-*.f32
2 766×lower-*.f64
1 932×lower-fma.f32
1 930×lower-fma.f64
1 700×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057344
089302
1124286
2197278
3485252
41879246
54581244
66431243
77843243
08057242
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))
#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
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (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 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))
#s(literal 1/2 binary64)
(log.f64 (fma.f64 re re (*.f64 im im)))
(fma.f64 re re (*.f64 im im))
re
(*.f64 im im)
im
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (log.f64 base) #s(literal -1/2 binary64))
(log.f64 base)
base
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))))
(/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))))
(log.f64 im)
im
(/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(pow.f64 (log.f64 base) #s(literal 6 binary64))
(log.f64 base)
base
#s(literal 6 binary64)
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(neg.f64 (log.f64 base))
(neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 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 (+.f64 (/.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) (log.f64 base)) (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)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)))
(fma.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)))
(*.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
#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 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.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
#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 (log.f64 im) (log.f64 base)))
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (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 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))
#s(literal 1/2 binary64)
(log.f64 (fma.f64 re re (*.f64 im im)))
(fma.f64 re re (*.f64 im im))
re
(*.f64 im im)
im
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal -1/2 binary64))
(log.f64 base)
base
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 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 im) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))))
(/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(log.f64 im)
im
(/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 5 binary64)))
(pow.f64 (log.f64 base) #s(literal 6 binary64))
(log.f64 base)
base
#s(literal 6 binary64)
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(pow.f64 (log.f64 base) #s(literal 5 binary64))
(neg.f64 (log.f64 base))
(neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)

localize159.0ms (1.1%)

Memory
4.4MiB live, 281.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.18320852173359786
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))))
accuracy0.193691259768442
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
accuracy0.4370653321270288
(pow.f64 (log.f64 base) #s(literal 4 binary64))
accuracy0.5747743034716053
(pow.f64 (log.f64 base) #s(literal 6 binary64))
accuracy0.05859375
(pow.f64 (log.f64 base) #s(literal -1/2 binary64))
accuracy0.18816376953688402
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
accuracy0.27572250976844204
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy17.111770202064378
(log.f64 (fma.f64 re re (*.f64 im im)))
accuracy0.06640625
(sqrt.f64 (log.f64 base))
accuracy0.17025375976844204
(/.f64 (log.f64 im) (sqrt.f64 (log.f64 base)))
accuracy0.18320852173359786
#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))))
accuracy0.21484375
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
accuracy0
(log.f64 base)
accuracy0.1328125
(/.f64 #s(literal 1 binary64) (log.f64 base))
accuracy0.18320852173359786
#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)))
accuracy0.19207001953688402
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
accuracy0
#s(approx (* (atan2 im re) 0) #s(literal 0 binary64))
accuracy0.14453125
(/.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))))
accuracy0.197597509768442
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
accuracy0.27962875976844204
(*.f64 (log.f64 base) (log.f64 base))
Samples
51.0ms129×0valid
43.0ms127×0invalid
Compiler

Compiled 359 to 44 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 13.0ms (21.5% of total)
ival-log: 12.0ms (19.8% of total)
ival-pow: 9.0ms (14.9% of total)
ival-div: 8.0ms (13.2% of total)
ival-hypot: 5.0ms (8.3% of total)
ival-add: 3.0ms (5% of total)
ival-neg: 3.0ms (5% of total)
ival-pow2: 3.0ms (5% of total)
ival-atan2: 2.0ms (3.3% of total)
ival-sqrt: 2.0ms (3.3% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series43.0ms (0.3%)

Memory
-6.8MiB live, 66.5MiB allocated
Counts
26 → 540
Calls
Call 1
Inputs
#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 (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 (*.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 (/.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 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) (patch (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (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))) (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))) (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 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (patch (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #<representation binary64>) () ())
#s(alt (log.f64 (fma.f64 re re (*.f64 im im))) (patch (log.f64 (fma.f64 re re (*.f64 im im))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (patch (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))) (patch (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))))) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 base) (log.f64 base)) (patch (*.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<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>) () ())
#s(alt (sqrt.f64 (log.f64 base)) (patch (sqrt.f64 (log.f64 base)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal 6 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ (log im) (log base)) (taylor 0 re) (#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>) () ())) ())
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#s(alt 0 (taylor 0 im) (#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>) () ())) ())
#s(alt 0 (taylor 0 im) (#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>) () ())) ())
#s(alt 0 (taylor inf im) (#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>) () ())) ())
#s(alt 0 (taylor inf im) (#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>) () ())) ())
#s(alt 0 (taylor inf im) (#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>) () ())) ())
#s(alt 0 (taylor inf im) (#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>) () ())) ())
#s(alt 0 (taylor -inf im) (#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>) () ())) ())
#s(alt 0 (taylor -inf im) (#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>) () ())) ())
#s(alt 0 (taylor -inf im) (#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>) () ())) ())
#s(alt 0 (taylor -inf im) (#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>) () ())) ())
#s(alt 0 (taylor 0 re) (#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>) () ())) ())
#s(alt 0 (taylor 0 re) (#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>) () ())) ())
#s(alt 0 (taylor 0 re) (#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>) () ())) ())
#s(alt 0 (taylor 0 re) (#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>) () ())) ())
#s(alt 0 (taylor inf re) (#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>) () ())) ())
#s(alt 0 (taylor inf re) (#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>) () ())) ())
#s(alt 0 (taylor inf re) (#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>) () ())) ())
#s(alt 0 (taylor inf re) (#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>) () ())) ())
#s(alt 0 (taylor -inf re) (#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>) () ())) ())
#s(alt 0 (taylor -inf re) (#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>) () ())) ())
#s(alt 0 (taylor -inf re) (#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>) () ())) ())
#s(alt 0 (taylor -inf re) (#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>) () ())) ())
#s(alt (sqrt (log base)) (taylor 0 base) (#s(alt (sqrt.f64 (log.f64 base)) (patch (sqrt.f64 (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (sqrt (log base)) (taylor 0 base) (#s(alt (sqrt.f64 (log.f64 base)) (patch (sqrt.f64 (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (sqrt (log base)) (taylor 0 base) (#s(alt (sqrt.f64 (log.f64 base)) (patch (sqrt.f64 (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (sqrt (log base)) (taylor 0 base) (#s(alt (sqrt.f64 (log.f64 base)) (patch (sqrt.f64 (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (log (/ 1 base))) (sqrt -1)) (taylor inf base) (#s(alt (sqrt.f64 (log.f64 base)) (patch (sqrt.f64 (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (log (/ 1 base))) (sqrt -1)) (taylor inf base) (#s(alt (sqrt.f64 (log.f64 base)) (patch (sqrt.f64 (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (log (/ 1 base))) (sqrt -1)) (taylor inf base) (#s(alt (sqrt.f64 (log.f64 base)) (patch (sqrt.f64 (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (log (/ 1 base))) (sqrt -1)) (taylor inf base) (#s(alt (sqrt.f64 (log.f64 base)) (patch (sqrt.f64 (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (sqrt (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf base) (#s(alt (sqrt.f64 (log.f64 base)) (patch (sqrt.f64 (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (sqrt (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf base) (#s(alt (sqrt.f64 (log.f64 base)) (patch (sqrt.f64 (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (sqrt (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf base) (#s(alt (sqrt.f64 (log.f64 base)) (patch (sqrt.f64 (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (sqrt (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf base) (#s(alt (sqrt.f64 (log.f64 base)) (patch (sqrt.f64 (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (log base))) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (log base))) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (log base))) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (log base))) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1)) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1)) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1)) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1)) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 6) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 6 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 6) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 6 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 6) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 6 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 6) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 6 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log (/ 1 base)) 6) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 6 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log (/ 1 base)) 6) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 6 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log (/ 1 base)) 6) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 6 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log (/ 1 base)) 6) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 6 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 6) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 6 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 6) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 6 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 6) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 6 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 6) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 6 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 4) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 4) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 4) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 4) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log (/ 1 base)) 4) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log (/ 1 base)) 4) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log (/ 1 base)) 4) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log (/ 1 base)) 4) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
Calls

135 calls:

TimeVariablePointExpression
5.0ms
base
@-inf
(pow (log base) -1/2)
1.0ms
base
@-inf
(* (neg (log base)) (neg (pow (log base) 4)))
1.0ms
base
@0
(* (neg (log base)) (neg (pow (log base) 4)))
1.0ms
base
@-inf
(pow (log base) 6)
1.0ms
base
@0
(pow (log base) 6)

simplify410.0ms (2.8%)

Memory
-8.6MiB live, 578.8MiB allocated
Algorithm
1×egg-herbie
Rules
23 150×lower-fma.f64
23 150×lower-fma.f32
5 442×lower-*.f64
5 442×lower-*.f32
4 748×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04817756
113097510
238347468
083896876
Stop Event
1×iter limit
1×node limit
Counts
540 → 536
Calls
Call 1
Inputs
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(pow (log base) 2)
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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)))))
(* -2 (log (/ 1 im)))
(+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(* -2 (log (/ -1 im)))
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(pow (log base) 5)
(pow (log base) 5)
(pow (log base) 5)
(pow (log base) 5)
(* -1 (pow (log (/ 1 base)) 5))
(* -1 (pow (log (/ 1 base)) 5))
(* -1 (pow (log (/ 1 base)) 5))
(* -1 (pow (log (/ 1 base)) 5))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 5)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 5)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 5)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 5)
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (log base) (log im))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(* -1 (* (log base) (log (/ 1 re))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* -1 (* (log base) (log (/ -1 re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(* -1 (* (log base) (log (/ 1 im))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(sqrt (log base))
(sqrt (log base))
(sqrt (log base))
(sqrt (log base))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(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)))))
(sqrt (/ 1 (log base)))
(sqrt (/ 1 (log base)))
(sqrt (/ 1 (log base)))
(sqrt (/ 1 (log 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))
(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))))))
(pow (log base) 6)
(pow (log base) 6)
(pow (log base) 6)
(pow (log base) 6)
(pow (log (/ 1 base)) 6)
(pow (log (/ 1 base)) 6)
(pow (log (/ 1 base)) 6)
(pow (log (/ 1 base)) 6)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)
(pow (log base) 4)
(pow (log base) 4)
(pow (log base) 4)
(pow (log base) 4)
(pow (log (/ 1 base)) 4)
(pow (log (/ 1 base)) 4)
(pow (log (/ 1 base)) 4)
(pow (log (/ 1 base)) 4)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
Outputs
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im))))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (/.f64 (log.f64 im) (log.f64 base)))
(* -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 im (/.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re (log.f64 base))))) (/.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 im im) (fma.f64 (*.f64 im im) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re (log.f64 base))))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (log.f64 re) (log.f64 base))))
(* -1 (/ (log (/ -1 re)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(fma.f64 (*.f64 im im) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re (log.f64 base)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re (log.f64 base))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(-.f64 (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re (log.f64 base))))) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
(/ (log re) (log base))
(/.f64 (log.f64 re) (log.f64 base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(fma.f64 im (/.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 re (*.f64 re (log.f64 base)))) (/.f64 (log.f64 re) (log.f64 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)))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re (log.f64 base))))) (/.f64 (log.f64 re) (log.f64 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)))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re))))) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re (log.f64 base))))) (/.f64 (log.f64 re) (log.f64 base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))) (/.f64 (log.f64 im) (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 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* -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)))))))
(fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (log.f64 im) (log.f64 base))))
(* -1 (/ (log (/ -1 im)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))
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(fma.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (/.f64 (*.f64 (log.f64 base) #s(literal -1/4 binary64)) (*.f64 (*.f64 im im) (*.f64 im im))) (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 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 re (log.f64 base)))) (*.f64 im im)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(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))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 base))))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 base))))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 base))))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 base))))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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 (/ 1 (log (/ 1 base)))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(pow (log base) 6)
(pow.f64 (log.f64 base) #s(literal 6 binary64))
(pow (log base) 6)
(pow.f64 (log.f64 base) #s(literal 6 binary64))
(pow (log base) 6)
(pow.f64 (log.f64 base) #s(literal 6 binary64))
(pow (log base) 6)
(pow.f64 (log.f64 base) #s(literal 6 binary64))
(pow (log (/ 1 base)) 6)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 6 binary64))
(pow (log (/ 1 base)) 6)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 6 binary64))
(pow (log (/ 1 base)) 6)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 6 binary64))
(pow (log (/ 1 base)) 6)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 6 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 6 binary64))
(pow (log base) 4)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(pow (log base) 4)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(pow (log base) 4)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(pow (log base) 4)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(pow (log (/ 1 base)) 4)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64))
(pow (log (/ 1 base)) 4)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64))
(pow (log (/ 1 base)) 4)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64))
(pow (log (/ 1 base)) 4)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64))

rewrite451.0ms (3.1%)

Memory
45.2MiB live, 614.1MiB allocated
Rules
8 164×lower-fma.f32
8 162×lower-fma.f64
5 436×lower-*.f32
5 422×lower-*.f64
3 126×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057263
089197
1252172
21411147
09077146
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 2 033
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))))
(hypot.f64 re 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 (/.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 (/.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))) (sqrt.f64 (log.f64 base))))
(/.f64 (log.f64 im) (sqrt.f64 (log.f64 base)))
(log.f64 im)
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))
(log.f64 (fma.f64 re re (*.f64 im im)))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
#s(approx (* (atan2 im re) 0) #s(literal 0 binary64))
(sqrt.f64 (log.f64 base))
(pow.f64 (log.f64 base) #s(literal -1/2 binary64))
(pow.f64 (log.f64 base) #s(literal 6 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
Outputs
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64)))
(+.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))))
(+.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (*.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(+.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(+.f64 (*.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(+.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(+.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
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(+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (log.f64 base)) (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base)))))
(exp.f64 (-.f64 (*.f64 #s(literal 6 binary64) (log.f64 (log.f64 base))) (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base)))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))
(-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 8 binary64))))
(fma.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 8 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (sqrt.f64 (log.f64 base))) (*.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (sqrt.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)) #s(literal 0 binary64))
(neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 10 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 12 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal -1 binary64))
(/.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 6 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 8 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (log.f64 base)))
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (log.f64 base) (*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 1 binary64))
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(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal -1 binary64))
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(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 8 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 8 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 3/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (log.f64 base)))
(*.f64 (*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (sqrt.f64 (log.f64 base))) (*.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (sqrt.f64 (log.f64 base))))
(*.f64 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))

eval969.0ms (6.6%)

Memory
43.4MiB live, 1 242.8MiB allocated
Compiler

Compiled 115 121 to 9 812 computations (91.5% saved)

prune1.0s (6.9%)

Memory
-74.2MiB live, 1 489.6MiB allocated
Pruning

29 alts after pruning (27 fresh and 2 done)

PrunedKeptTotal
New4 356174 373
Fresh61016
Picked415
Done011
Total4 366294 395
Accuracy
100.0%
Counts
4 395 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (log (+ (* re re) (* im im))) (neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64)))) (log.f64 base)))))
98.9%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (/ (log base) (* 1/2 (* (log (+ (* re re) (* im im))) (log base)))) (/.f64 #s(literal 1 binary64) (log.f64 im))))
49.8%
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) #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))))
▶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)))
43.2%
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
43.3%
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
98.9%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 base))
23.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 #s(approx (pow (log base) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) #s(literal 2 binary64)))
98.9%
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 base))
98.8%
(*.f64 #s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
49.6%
#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) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))) (sqrt.f64 (log.f64 base))))
49.5%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (*.f64 (sqrt.f64 (sqrt.f64 (log.f64 base))) (sqrt.f64 (sqrt.f64 (log.f64 base))))))
49.5%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 im))) (sqrt.f64 (log.f64 base))))
98.7%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
49.6%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
98.6%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 base)))))
98.9%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 3 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) (log.f64 base)))
▶98.8%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
49.4%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))) #s(literal 4 binary64)) (log.f64 im)))
49.5%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (log.f64 im)))
98.7%
#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 5 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (log.f64 im))))
▶49.2%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base)))) (log.f64 im)))
98.7%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (log.f64 im)))
98.6%
#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) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
▶49.5%
#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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64))) (log.f64 im)))
✓98.9%
#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)))
▶98.8%
#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) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
49.3%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) (log.f64 im)))
Compiler

Compiled 908 to 620 computations (31.7% saved)

simplify249.0ms (1.7%)

Memory
34.2MiB live, 214.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 #s(literal 2 binary64))
cost-diff0
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base))))
cost-diff0
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base)))) (log.f64 im))
cost-diff0
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base)))) (log.f64 im)))
cost-diff0
(log.f64 im)
cost-diff0
(*.f64 (log.f64 im) (neg.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) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
cost-diff13056
(*.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
cost-diff0
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64)))
cost-diff0
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64))) (log.f64 im)))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64))) (log.f64 im))
cost-diff0
(log.f64 base)
cost-diff0
(/.f64 (log.f64 base) (log.f64 im))
cost-diff0
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
cost-diff0
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
cost-diff128
(+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)))
cost-diff5120
(hypot.f64 re im)
cost-diff5952
(/.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)))
Rules
1 900×associate-*r/
1 858×lower-/.f32
1 848×lower-/.f64
1 764×lower-fma.f64
1 764×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052334
077284
1108264
2165264
3386252
4556244
5850244
62205243
73085242
83700242
94019242
104142242
114156242
124637242
135169242
145629242
155992242
166348242
176655242
187365242
197515242
207675242
217693242
227711242
08626241
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))) (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)))
(*.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)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
#s(literal 1 binary64)
(/.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 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64))) (log.f64 im)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64))) (log.f64 im))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))
(sqrt.f64 (log.f64 base))
(log.f64 base)
base
#s(literal -2 binary64)
(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) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(*.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (log.f64 im) (neg.f64 (log.f64 base)))
(log.f64 im)
im
(neg.f64 (log.f64 base))
(log.f64 base)
base
(neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base)))) (log.f64 im)))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base)))) (log.f64 im))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base))))
(exp.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base)))
#s(literal -1/2 binary64)
(log.f64 (log.f64 base))
(log.f64 base)
base
(log.f64 im)
im
Outputs
(/.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 (+.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) (log.f64 base))) (log.f64 base))
(+.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 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)))
(*.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
#s(approx (* (atan2 im re) 0) #s(literal 0 binary64))
#s(literal 0 binary64)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 base))
#s(literal 1 binary64)
(/.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 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (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 (log.f64 im) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64))) (log.f64 im))
(/.f64 (log.f64 im) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))
(sqrt.f64 (log.f64 base))
(log.f64 base)
base
#s(literal -2 binary64)
(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) (neg.f64 (log.f64 base))) (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)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 (log.f64 im) (neg.f64 (log.f64 base)))
(*.f64 (log.f64 base) (neg.f64 (log.f64 im)))
(log.f64 im)
im
(neg.f64 (log.f64 base))
(log.f64 base)
base
(neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (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 (log.f64 im) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base))))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base)))) (log.f64 im))
(*.f64 (log.f64 im) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base)))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base))))
(exp.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base)))
#s(literal -1/2 binary64)
(log.f64 (log.f64 base))
(log.f64 base)
base
(log.f64 im)
im

localize217.0ms (1.5%)

Memory
-34.7MiB live, 349.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(log.f64 (log.f64 base))
accuracy0.18320852173359786
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base)))) (log.f64 im)))
accuracy0.19207001953688402
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base)))) (log.f64 im))
accuracy0.5884780023140674
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base))))
accuracy0.18320852173359786
#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) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
accuracy0.18816376953688402
(*.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
accuracy0.189785009768442
(*.f64 (log.f64 im) (neg.f64 (log.f64 base)))
accuracy0.23179628907376804
(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy0.1328125
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64)))
accuracy0.18320852173359786
#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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64))) (log.f64 im)))
accuracy0.19207001953688402
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64))) (log.f64 im))
accuracy0.21484375
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64))
accuracy0
(log.f64 base)
accuracy0.12890625
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
accuracy0.17578125
(/.f64 (log.f64 base) (log.f64 im))
accuracy0.18320852173359786
#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))))
accuracy0
#s(approx (* (atan2 im re) 0) #s(literal 0 binary64))
accuracy0.14453125
(/.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)))
accuracy0.197597509768442
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
accuracy0.27962875976844204
(pow.f64 (log.f64 base) #s(literal 2 binary64))
Samples
80.0ms127×0invalid
50.0ms129×0valid
Compiler

Compiled 337 to 41 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-pow: 14.0ms (21.4% of total)
ival-mult: 12.0ms (18.3% of total)
ival-log: 11.0ms (16.8% of total)
ival-div: 8.0ms (12.2% of total)
ival-hypot: 5.0ms (7.6% of total)
ival-exp: 3.0ms (4.6% of total)
ival-add: 3.0ms (4.6% of total)
ival-atan2: 2.0ms (3.1% of total)
ival-sqrt: 2.0ms (3.1% of total)
ival-pow2: 2.0ms (3.1% of total)
ival-neg: 2.0ms (3.1% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series181.0ms (1.2%)

Memory
-5.0MiB live, 361.9MiB allocated
Counts
24 → 540
Calls
Call 1
Inputs
#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())
#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (patch (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) #<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 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (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 #s(literal 1 binary64) (/.f64 (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 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64))) (log.f64 im)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64))) (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) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64))) (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) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64))) (log.f64 im))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (patch (*.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 im) (neg.f64 (log.f64 base))) (patch (*.f64 (log.f64 im) (neg.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 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (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 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base)))) (log.f64 im))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base)))) (log.f64 im)) (patch (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base)))) (log.f64 im)) #<representation binary64>) () ())
#s(alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base)))) (patch (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base)))) #<representation binary64>) () ())
#s(alt (exp.f64 #s(literal 2 binary64)) (patch (exp.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 2 binary64)) #<representation binary64>) () ())
#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>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal -2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 (log.f64 base)) (patch (log.f64 (log.f64 base)) #<representation binary64>) () ())
Outputs
#s(alt (/ (log im) (log base)) (taylor 0 re) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base))) (taylor 0 re) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) (taylor 0 re) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) (taylor 0 re) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 re)) (log base))) (taylor inf re) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) (taylor inf re) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) (taylor inf re) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) (taylor inf re) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ -1 re)) (log base))) (taylor -inf re) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) (taylor -inf re) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) (taylor -inf re) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) (taylor -inf re) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (/ (log re) (log base)) (taylor 0 im) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base))) (taylor 0 im) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) (taylor 0 im) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) (taylor 0 im) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 im)) (log base))) (taylor inf im) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) (taylor inf im) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) (taylor inf im) (#s(alt (/.f64 (+.f64 (*.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) (taylor inf im) (#s(alt (/.f64 (+.f64 (*.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))) (patch (/.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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ -1 im)) (log base))) (taylor -inf im) (#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())) ())
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#s(alt (log (* -1 (log (/ 1 base)))) (taylor inf base) (#s(alt (log.f64 (log.f64 base)) (patch (log.f64 (log.f64 base)) #<representation binary64>) () ())) ())
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#s(alt (log (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf base) (#s(alt (log.f64 (log.f64 base)) (patch (log.f64 (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (log (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf base) (#s(alt (log.f64 (log.f64 base)) (patch (log.f64 (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (log (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf base) (#s(alt (log.f64 (log.f64 base)) (patch (log.f64 (log.f64 base)) #<representation binary64>) () ())) ())
Calls

135 calls:

TimeVariablePointExpression
83.0ms
base
@0
(* (pow (exp 2) (* -1/2 (log (log base)))) (log im))
20.0ms
base
@-inf
(* (pow (exp 2) (* -1/2 (log (log base)))) (log im))
18.0ms
base
@inf
(* (pow (exp 2) (* -1/2 (log (log base)))) (log im))
15.0ms
im
@0
(* (pow (exp 2) (* -1/2 (log (log base)))) (log im))
6.0ms
base
@inf
(* (log im) (neg (log base)))

simplify314.0ms (2.2%)

Memory
33.2MiB live, 379.4MiB allocated
Algorithm
1×egg-herbie
Rules
12 640×lower-fma.f64
12 640×lower-fma.f32
5 084×lower-*.f64
5 084×lower-*.f32
3 418×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03297604
19097403
228327340
375307340
080816676
Stop Event
1×iter limit
1×node limit
Counts
540 → 536
Calls
Call 1
Inputs
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(* (log base) (log im))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(* -1 (* (log base) (log (/ 1 re))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* -1 (* (log base) (log (/ -1 re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(* -1 (* (log base) (log (/ 1 im))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
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(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ (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)))))
(* -1 (* (log base) (log im)))
(* -1 (* (log base) (log im)))
(* -1 (* (log base) (log im)))
(* -1 (* (log base) (log im)))
(* (log base) (log (/ 1 im)))
(* (log base) (log (/ 1 im)))
(* (log base) (log (/ 1 im)))
(* (log base) (log (/ 1 im)))
(* -1 (* (log base) (+ (log -1) (* -1 (log (/ -1 im))))))
(* -1 (* (log base) (+ (log -1) (* -1 (log (/ -1 im))))))
(* -1 (* (log base) (+ (log -1) (* -1 (log (/ -1 im))))))
(* -1 (* (log base) (+ (log -1) (* -1 (log (/ -1 im))))))
(* -1 (* (log base) (log im)))
(* -1 (* (log base) (log im)))
(* -1 (* (log base) (log im)))
(* -1 (* (log base) (log im)))
(* (log im) (log (/ 1 base)))
(* (log im) (log (/ 1 base)))
(* (log im) (log (/ 1 base)))
(* (log im) (log (/ 1 base)))
(* -1 (* (log im) (+ (log -1) (* -1 (log (/ -1 base))))))
(* -1 (* (log im) (+ (log -1) (* -1 (log (/ -1 base))))))
(* -1 (* (log im) (+ (log -1) (* -1 (log (/ -1 base))))))
(* -1 (* (log im) (+ (log -1) (* -1 (log (/ -1 base))))))
(log im)
(log im)
(log im)
(log im)
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(log (log base))
(log (log base))
(log (log base))
(log (log base))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
Outputs
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im))))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (/.f64 (log.f64 im) (log.f64 base)))
(* -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 im (/.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 (log.f64 base) (*.f64 re re))) (/.f64 (log.f64 re) (log.f64 base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) (*.f64 re re)))) (/.f64 (log.f64 re) (log.f64 base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 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 im im) (fma.f64 (*.f64 im im) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) (*.f64 re re)))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (log.f64 re) (log.f64 base))))
(* -1 (/ (log (/ -1 re)) (log base)))
(neg.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 (log.f64 base) (*.f64 re re))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) (*.f64 re re)))) (neg.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) 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 im im) (fma.f64 (*.f64 im im) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) (*.f64 re re)))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 120 binary64)) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))))
(/ (log re) (log base))
(/.f64 (log.f64 re) (log.f64 base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(fma.f64 im (/.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 (log.f64 base) (*.f64 re re))) (/.f64 (log.f64 re) (log.f64 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)))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) (*.f64 re re)))) (/.f64 (log.f64 re) (log.f64 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)))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 re re) (*.f64 re re))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 base) (*.f64 re re)))) (/.f64 (log.f64 re) (log.f64 base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))) (/.f64 (log.f64 im) (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 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* -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)))))))
(fma.f64 (*.f64 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (log.f64 im) (log.f64 base))))
(* -1 (/ (log (/ -1 im)) (log base)))
(neg.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im (*.f64 im (log.f64 base)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (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 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (neg.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (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 re re) (fma.f64 (*.f64 re re) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 base) (*.f64 (*.f64 im im) (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 base))))) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (*.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
im
(+ im (* 1/2 (/ (pow re 2) im)))
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(/ 1 (pow (log 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 (pow (log (/ 1 base)) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(log (log base))
(log.f64 (log.f64 base))
(log (log base))
(log.f64 (log.f64 base))
(log (log base))
(log.f64 (log.f64 base))
(log (log base))
(log.f64 (log.f64 base))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))

rewrite577.0ms (4%)

Memory
-19.4MiB live, 588.6MiB allocated
Rules
9 190×lower-fma.f64
9 190×lower-fma.f32
5 504×lower-*.f32
5 494×lower-*.f64
2 948×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052276
077210
1233184
21320180
08924178
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 1 745
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))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(hypot.f64 re im)
(+.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))
(/.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 (log.f64 base) (log.f64 im))
(log.f64 base)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64))) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (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 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))) (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)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(*.f64 (log.f64 im) (neg.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 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base)))) (log.f64 im)))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base)))) (log.f64 im))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base))))
(exp.f64 #s(literal 2 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(approx (* (atan2 im re) 0) #s(literal 0 binary64))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log.f64 (log.f64 base))
Outputs
(+.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(+.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (*.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(+.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(+.f64 (*.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(+.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(+.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) (neg.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) (neg.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) (neg.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)))))) (/.f64 (*.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) (neg.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(fma.f64 (log.f64 base) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))))
(fma.f64 (log.f64 base) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) #s(literal 2 binary64))) (*.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(fma.f64 (log.f64 base) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))))
(fma.f64 (log.f64 base) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(fma.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(fma.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64)))
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(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (log.f64 base)) (log.f64 base))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(log.f64 (log.f64 base))
(+.f64 #s(literal 0 binary64) (log.f64 (log.f64 base)))
(+.f64 (log.f64 (log.f64 base)) #s(literal 0 binary64))
(+.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(-.f64 (log.f64 (log.f64 base)) #s(literal 0 binary64))
(-.f64 (log.f64 (neg.f64 (log.f64 base))) (log.f64 #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (log.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (log.f64 (log.f64 base))) (*.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)))
(fma.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base))) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base))) #s(literal -1 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base))) (*.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (log.f64 (log.f64 base)) (*.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (log.f64 (log.f64 base))) #s(literal -1/2 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)))
(neg.f64 (neg.f64 (log.f64 (log.f64 base))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 #s(literal 2 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (log.f64 (log.f64 base)))
(*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base))))
(*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base))) #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (log.f64 base))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))

eval394.0ms (2.7%)

Memory
62.9MiB live, 860.1MiB allocated
Compiler

Compiled 72 039 to 5 158 computations (92.8% saved)

prune509.0ms (3.5%)

Memory
-60.7MiB live, 811.4MiB allocated
Pruning

30 alts after pruning (24 fresh and 6 done)

PrunedKeptTotal
New2 643102 653
Fresh81422
Picked145
Done022
Total2 652302 682
Accuracy
100.0%
Counts
2 682 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (/ (log base) (* 1/2 (* (log (+ (* re re) (* im im))) (log base)))) (/.f64 #s(literal 1 binary64) (log.f64 im))))
49.8%
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓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)))
43.3%
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
98.9%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 base))
23.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 #s(approx (pow (log base) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) #s(literal 2 binary64)))
98.9%
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 base))
47.1%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
49.6%
#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) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))) (sqrt.f64 (log.f64 base))))
49.5%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (*.f64 (sqrt.f64 (sqrt.f64 (log.f64 base))) (sqrt.f64 (sqrt.f64 (log.f64 base))))))
49.5%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 im))) (sqrt.f64 (log.f64 base))))
98.6%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 base)))))
98.9%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 3 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) (log.f64 base)))
49.6%
#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 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) (log.f64 im))))
98.8%
#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 (/.f64 #s(literal 1 binary64) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
✓98.8%
#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))))
98.9%
#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 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))
98.8%
#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 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))))
49.4%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))) #s(literal 4 binary64)) (log.f64 im)))
49.5%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (log.f64 im)))
98.8%
#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 -2 binary64)) (*.f64 (log.f64 base) (log.f64 im))))
✓49.2%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base)))) (log.f64 im)))
98.7%
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (log.f64 im)))
98.6%
#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) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
✓49.5%
#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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal -2 binary64))) (log.f64 im)))
✓98.9%
#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)))
98.5%
#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) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)))))
48.8%
#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) (neg.f64 (log.f64 base))) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base)))))))
49.3%
#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 1 435 to 527 computations (63.3% saved)

regimes96.0ms (0.7%)

Memory
24.0MiB live, 178.9MiB allocated
Counts
64 → 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))))
#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 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.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 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (/ (log base) (* 1/2 (* (log (+ (* re re) (* im im))) (log base)))) (/.f64 #s(literal 1 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(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (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 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (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 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))) #s(literal 4 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 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 #s(approx (pow (log base) -1/2) (sqrt.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)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (/.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 (log.f64 im) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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 (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 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 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 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (log.f64 im))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* 1/2 (log (+ (* re re) (* im im)))) (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))) (pow.f64 (pow.f64 (/.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))) (*.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(*.f64 #s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 base))
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im 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 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (log (+ (* re re) (* im im))) (neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64)))) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.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 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (*.f64 (sqrt.f64 (sqrt.f64 (log.f64 base))) (sqrt.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 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (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 (log.f64 base) #s(literal 5 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -6 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 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 5 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 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (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))) (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 im) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.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 (*.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))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 base)))))
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -6 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (+.f64 (*.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))))
#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 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) #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 (pow.f64 (log.f64 base) #s(literal 18 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (pow.f64 (log.f64 base) #s(literal 12 binary64))))))
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))) (*.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 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 2 binary64))) (/.f64 (log.f64 base) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Outputs
(/.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)))
Calls

5 calls:

21.0ms
base
19.0ms
im
19.0ms
(log.f64 base)
18.0ms
re
15.0ms
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Results
AccuracySegmentsBranch
99.2%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)

regimes80.0ms (0.5%)

Memory
-13.9MiB live, 107.3MiB allocated
Accuracy

Total -53.0b remaining (-8401.7%)

Threshold costs -53b (-8401.7%)

Counts
45 → 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))))
#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 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.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 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (/ (log base) (* 1/2 (* (log (+ (* re re) (* im im))) (log base)))) (/.f64 #s(literal 1 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(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (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 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (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 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))) #s(literal 4 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 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 #s(approx (pow (log base) -1/2) (sqrt.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)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (/.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 (log.f64 im) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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 (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 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 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 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (log.f64 base) (log.f64 im))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* 1/2 (log (+ (* re re) (* im im)))) (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))) (pow.f64 (pow.f64 (/.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))) (*.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(*.f64 #s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 #s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 base))
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))) (neg.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im 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 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (log (+ (* re re) (* im im))) (neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64)))) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.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 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (*.f64 (sqrt.f64 (sqrt.f64 (log.f64 base))) (sqrt.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 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (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 (log.f64 base) #s(literal 5 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -6 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 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 5 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 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base))) (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (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:

24.0ms
im
16.0ms
(log.f64 base)
14.0ms
re
12.0ms
base
11.0ms
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Results
AccuracySegmentsBranch
99.0%1re
99.0%1im
99.0%1base
99.0%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))))
99.0%1(log.f64 base)
Compiler

Compiled 48 to 31 computations (35.4% saved)

simplify2.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03052
Stop Event
1×saturated
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))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
Outputs
(/.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)))
#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)))

soundness601.0ms (4.1%)

Memory
-22.2MiB live, 471.3MiB allocated
Rules
12 210×lower-fma.f64
12 210×lower-fma.f32
9 736×lower-fma.f64
9 736×lower-fma.f32
8 164×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01875
03461
19955
268655
3624355
0826635
02992912
18402860
226542828
363992818
081642516
057263
089197
1252172
21411147
09077146
08399968
123709730
275949710
080999098
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 162 to 73 computations (54.9% saved)

preprocess75.0ms (0.5%)

Memory
26.7MiB live, 64.6MiB allocated
Remove

(sort re im)

(abs re)

(abs im)

Compiler

Compiled 218 to 136 computations (37.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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