math.log/2 on complex, imaginary part

Time bar (total: 16.5s)

analyze277.0ms (1.7%)

Memory
-5.4MiB live, 236.9MiB 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)

sample1.7s (10.5%)

Memory
47.3MiB live, 2 331.0MiB allocated
Samples
1.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-hypot: 253.0ms (25% of total)
ival-log: 246.0ms (24.3% of total)
ival-mult: 234.0ms (23.1% of total)
ival-atan2: 77.0ms (7.6% of total)
ival-add: 67.0ms (6.6% of total)
ival-sub: 67.0ms (6.6% of total)
ival-div: 52.0ms (5.1% of total)
ival-true: 6.0ms (0.6% of total)
exact: 5.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess417.0ms (2.5%)

Memory
-23.6MiB live, 380.4MiB allocated
Algorithm
2×egg-herbie
Rules
5 718×*-lowering-*.f32
5 718×*-lowering-*.f64
3 046×cube-prod
2 174×/-lowering-/.f32
2 174×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
079153
1217133
246286
388569
4149069
5301869
6411269
7543269
8663869
9768269
01814
13512
2578
3766
4946
51656
63726
712156
818756
923926
1029636
1138656
1246576
1356906
1468496
1571876
1673946
1775896
1877966
086096
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
Outputs
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/.f64 (atan2.f64 im re) (log.f64 base))
Call 2
Inputs
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (- (* (atan2 im (neg re)) (log base)) (* (log (sqrt (+ (* (neg re) (neg re)) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (- (* (atan2 (neg im) re) (log base)) (* (log (sqrt (+ (* re re) (* (neg im) (neg im))))) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (- (* (atan2 im re) (log (neg base))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log (neg base)) (log (neg base))) (* 0 0)))
(neg (/ (- (* (atan2 im (neg re)) (log base)) (* (log (sqrt (+ (* (neg re) (neg re)) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))))
(neg (/ (- (* (atan2 (neg im) re) (log base)) (* (log (sqrt (+ (* re re) (* (neg im) (neg im))))) 0)) (+ (* (log base) (log base)) (* 0 0))))
(neg (/ (- (* (atan2 im re) (log (neg base))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log (neg base)) (log (neg base))) (* 0 0))))
(/ (- (* (atan2 re im) (log base)) (* (log (sqrt (+ (* im im) (* re re)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (- (* (atan2 im base) (log re)) (* (log (sqrt (+ (* base base) (* im im)))) 0)) (+ (* (log re) (log re)) (* 0 0)))
(/ (- (* (atan2 base re) (log im)) (* (log (sqrt (+ (* re re) (* base base)))) 0)) (+ (* (log im) (log im)) (* 0 0)))
Outputs
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (atan2 im re) (log base))
(/ (- (* (atan2 im (neg re)) (log base)) (* (log (sqrt (+ (* (neg re) (neg re)) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (atan2 im (neg re)) (log base))
(/ (- (* (atan2 (neg im) re) (log base)) (* (log (sqrt (+ (* re re) (* (neg im) (neg im))))) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (atan2 (neg im) re) (log base))
(/ (- (* (atan2 im re) (log (neg base))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log (neg base)) (log (neg base))) (* 0 0)))
(/ (atan2 im re) (log (neg base)))
(neg (/ (- (* (atan2 im (neg re)) (log base)) (* (log (sqrt (+ (* (neg re) (neg re)) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))))
(/ (atan2 im (neg re)) (neg (log base)))
(neg (/ (- (* (atan2 (neg im) re) (log base)) (* (log (sqrt (+ (* re re) (* (neg im) (neg im))))) 0)) (+ (* (log base) (log base)) (* 0 0))))
(/ (atan2 (neg im) re) (neg (log base)))
(neg (/ (- (* (atan2 im re) (log (neg base))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log (neg base)) (log (neg base))) (* 0 0))))
(/ (neg (atan2 im re)) (log (neg base)))
(/ (- (* (atan2 re im) (log base)) (* (log (sqrt (+ (* im im) (* re re)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (atan2 re im) (log base))
(/ (- (* (atan2 im base) (log re)) (* (log (sqrt (+ (* base base) (* im im)))) 0)) (+ (* (log re) (log re)) (* 0 0)))
(/ (atan2 im base) (log re))
(/ (- (* (atan2 base re) (log im)) (* (log (sqrt (+ (* re re) (* base base)))) 0)) (+ (* (log im) (log im)) (* 0 0)))
(/ (atan2 base re) (log im))

explain266.0ms (1.6%)

Memory
24.0MiB live, 498.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1240-2(3.1599929128088995e-159 2.3012630413532048e-179 5.414706778256164e+164)(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
20-2(3.1150899173981556e+206 -1.3270531706367616e-104 2.0182029334182283e-237)(*.f64 (atan2.f64 im re) (log.f64 base))
00-0-(log.f64 base)
00-0-(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
00-0-(*.f64 re re)
00-0-(atan2.f64 im re)
00-0-im
00-0-(+.f64 (*.f64 re re) (*.f64 im im))
00-0-re
00-0-(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
00-0-(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
00-0-(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
00-0-#s(literal 0 binary64)
00-0-(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
00-0-(*.f64 (log.f64 base) (log.f64 base))
00-0-(*.f64 im im)
00-0-base
00-0-(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))oflow-rescue1050
↳(+.f64 (*.f64 re re) (*.f64 im im))overflow105
↳(*.f64 re re)overflow60
↳(*.f64 im im)overflow57
Confusion
Predicted +Predicted -
+10517
-0134
Precision
1.0
Recall
0.860655737704918
Confusion?
Predicted +Predicted MaybePredicted -
+105017
-00134
Precision?
1.0
Recall?
0.860655737704918
Freqs
test
numberfreq
0151
1105
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
77.0ms512×0valid
Compiler

Compiled 304 to 76 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 15.0ms (27.9% of total)
ival-log: 15.0ms (27.9% of total)
ival-hypot: 8.0ms (14.9% of total)
ival-add: 4.0ms (7.5% of total)
ival-atan2: 4.0ms (7.5% of total)
ival-div: 3.0ms (5.6% of total)
ival-sub: 2.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.0%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify270.0ms (1.6%)

Memory
7.4MiB live, 400.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff192
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
✓cost-diff320
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
✓cost-diff8064
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
✓cost-diff13568
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Rules
5 718×*-lowering-*.f32
5 718×*-lowering-*.f64
3 046×cube-prod
2 174×/-lowering-/.f32
2 174×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01881
13575
25771
37669
49469
516569
637269
7121569
8187569
9239269
10296369
11386569
12465769
13569069
14684969
15718769
16739469
17758969
18779669
0860958
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
(- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0))
(* (atan2 im re) (log base))
(atan2 im re)
im
re
(log base)
base
(* (log (sqrt (+ (* re re) (* im im)))) 0)
(log (sqrt (+ (* re re) (* im im))))
(sqrt (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(* re re)
(* im im)
0
(+ (* (log base) (log base)) (* 0 0))
(* (log base) (log base))
(* 0 0)
Outputs
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (atan2 im re) (log base))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(atan2 im re)
(atan2.f64 im re)
im
re
(log base)
(log.f64 base)
base
(* (log (sqrt (+ (* re re) (* im im)))) 0)
#s(literal 0 binary64)
(log (sqrt (+ (* re re) (* im im))))
(log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
(sqrt (+ (* re re) (* im im)))
(sqrt.f64 (fma.f64 re re (*.f64 im im)))
(+ (* re re) (* im im))
(fma.f64 re re (*.f64 im im))
(* re re)
(*.f64 re re)
(* im im)
(*.f64 im im)
0
#s(literal 0 binary64)
(+ (* (log base) (log base)) (* 0 0))
(fma.f64 (log.f64 base) (log.f64 base) #s(literal 0 binary64))
(* (log base) (log base))
(fma.f64 (log.f64 base) (log.f64 base) #s(literal 0 binary64))
(* 0 0)
#s(literal 0 binary64)

localize66.0ms (0.4%)

Memory
5.8MiB live, 125.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓accuracy99.4%
(*.f64 (atan2.f64 im re) (log.f64 base))
✓accuracy99.3%
(*.f64 (log.f64 base) (log.f64 base))
✓accuracy55.3%
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Samples
40.0ms256×0valid
Compiler

Compiled 121 to 20 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 9.0ms (31.5% of total)
ival-log: 6.0ms (21% of total)
ival-add: 4.0ms (14% of total)
ival-hypot: 4.0ms (14% of total)
ival-div: 2.0ms (7% of total)
ival-atan2: 2.0ms (7% of total)
ival-sub: 1.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series116.0ms (0.7%)

Memory
-24.4MiB live, 192.2MiB allocated
Counts
7 → 168
Calls
Call 1
Inputs
#<alt (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))>
#<alt (* (log (sqrt (+ (* re re) (* im im)))) 0)>
#<alt (* 0 0)>
#<alt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0))>
#<alt (sqrt (+ (* re re) (* im im)))>
#<alt (* (log base) (log base))>
#<alt (* (atan2 im re) (log base))>
Outputs
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt im>
#<alt (+ im (* 1/2 (/ (pow re 2) im)))>
#<alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))>
#<alt (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))>
#<alt re>
#<alt (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))>
#<alt (* -1 re)>
#<alt (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))>
#<alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))>
#<alt re>
#<alt (+ re (* 1/2 (/ (pow im 2) re)))>
#<alt (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))>
#<alt (+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))>
#<alt im>
#<alt (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))>
#<alt (* -1 im)>
#<alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))>
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
Calls

42 calls:

TimeVariablePointExpression
58.0ms
im
@0
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
19.0ms
base
@0
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
15.0ms
base
@-inf
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
9.0ms
base
@inf
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
6.0ms
re
@0
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))

rewrite503.0ms (3%)

Memory
11.0MiB live, 954.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 482×accelerator-lowering-fma.f32
5 482×accelerator-lowering-fma.f64
4 232×*-lowering-*.f32
4 232×*-lowering-*.f64
3 170×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01843
19237
270632
3702332
0846627
Stop Event
1×iter limit
1×node limit
Counts
7 → 1 566
Calls
Call 1
Inputs
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
(* (log (sqrt (+ (* re re) (* im im)))) 0)
(* 0 0)
(- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0))
(sqrt (+ (* re re) (* im im)))
(* (log base) (log base))
(* (atan2 im re) (log base))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(exp.f64 (*.f64 (+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(fma.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (atan2.f64 im re) (/.f64 (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (atan2.f64 im re) (/.f64 (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (atan2.f64 im re) (/.f64 (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (log.f64 base) (/.f64 (fma.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (/.f64 (fma.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (log.f64 base) (/.f64 (fma.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(fma.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (fma.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 0 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 0 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (fma.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 0 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
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(*.f64 (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
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(*.f64 (/.f64 (fma.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)))) (/.f64 (log.f64 base) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64))))
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(*.f64 (/.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))))
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(*.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(*.f64 (*.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))) (atan2.f64 im re)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)))
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))) (fma.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 0 binary64))) (log.f64 base))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (atan2.f64 im re))
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(*.f64 (/.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64)))) (fma.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 3 binary64))) (/.f64 (atan2.f64 im re) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal -2 binary64))))

simplify555.0ms (3.4%)

Memory
6.4MiB live, 1 154.9MiB allocated
Algorithm
1×egg-herbie
Rules
20 618×accelerator-lowering-fma.f32
20 618×accelerator-lowering-fma.f64
5 116×*-lowering-*.f32
5 116×*-lowering-*.f64
2 342×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01211220
13131204
29881202
335371166
466831166
083221132
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
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) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
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) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
Outputs
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
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) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) im) im)
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(fma.f64 (/.f64 (*.f64 re re) im) (fma.f64 #s(literal -1/8 binary64) (*.f64 re (/.f64 re (*.f64 im im))) #s(literal 1/2 binary64)) im)
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
(fma.f64 re (*.f64 re (fma.f64 (*.f64 re re) (fma.f64 re (/.f64 (*.f64 re #s(literal 1/16 binary64)) (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 im (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) im))) im)
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(fma.f64 im (*.f64 im (/.f64 #s(literal 1/2 binary64) re)) re)
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(fma.f64 re (fma.f64 im (/.f64 (*.f64 im (*.f64 #s(literal -1/8 binary64) (*.f64 im im))) (*.f64 re (*.f64 re (*.f64 re re)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) re))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(fma.f64 re (fma.f64 im (/.f64 (*.f64 im (*.f64 #s(literal -1/8 binary64) (*.f64 im im))) (*.f64 re (*.f64 re (*.f64 re re)))) (fma.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 6 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) re))
(* -1 re)
(-.f64 #s(literal 0 binary64) re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 im re)) im (-.f64 #s(literal 0 binary64) re))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(fma.f64 re (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 re (*.f64 re (*.f64 re re)))) #s(literal -1 binary64)) (fma.f64 (*.f64 im #s(literal -1/2 binary64)) (/.f64 im re) #s(literal 0 binary64)))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
(fma.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) #s(literal -1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 re (*.f64 re (*.f64 re re)))) #s(literal -1 binary64))) re (fma.f64 (*.f64 im #s(literal -1/2 binary64)) (/.f64 im re) #s(literal 0 binary64)))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(fma.f64 im (*.f64 im (/.f64 #s(literal 1/2 binary64) re)) re)
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(fma.f64 (/.f64 (*.f64 im im) re) (fma.f64 (*.f64 im im) (/.f64 #s(literal -1/8 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) re)
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
(fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 re (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) re))) re)
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) im) im)
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(fma.f64 im (fma.f64 re (/.f64 (*.f64 re (*.f64 re (*.f64 re #s(literal -1/8 binary64)))) (*.f64 im (*.f64 im (*.f64 im im)))) #s(literal 1 binary64)) (/.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) im))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(fma.f64 im (fma.f64 re (/.f64 (*.f64 re (*.f64 re (*.f64 re #s(literal -1/8 binary64)))) (*.f64 im (*.f64 im (*.f64 im im)))) (fma.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) im))
(* -1 im)
(-.f64 #s(literal 0 binary64) im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) im) im))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(fma.f64 im (fma.f64 (*.f64 #s(literal 1/8 binary64) re) (/.f64 (*.f64 re (*.f64 re re)) (*.f64 im (*.f64 im (*.f64 im im)))) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 re re) im) #s(literal -1/2 binary64) #s(literal 0 binary64)))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(fma.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal -1/16 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) re) (/.f64 (*.f64 re (*.f64 re re)) (*.f64 im (*.f64 im (*.f64 im im)))) #s(literal -1 binary64))) im (fma.f64 (/.f64 (*.f64 re re) im) #s(literal -1/2 binary64) #s(literal 0 binary64)))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))

eval350.0ms (2.1%)

Memory
-3.1MiB live, 477.1MiB allocated
Compiler

Compiled 59 309 to 3 431 computations (94.2% saved)

prune303.0ms (1.8%)

Memory
7.3MiB live, 536.5MiB allocated
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New1 712221 734
Fresh000
Picked101
Done000
Total1 713221 735
Accuracy
100.0%
Counts
1 735 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
84.8%
(/.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64)))
▶99.3%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))))
▶99.6%
(/.f64 (atan2.f64 im re) (log.f64 base))
99.5%
(/.f64 (/.f64 (fma.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 0 binary64)) (log.f64 base)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
84.2%
(/.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)))
99.3%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #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 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
99.5%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))) (log.f64 base))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
99.1%
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
99.2%
(*.f64 (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
99.4%
(*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
83.7%
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
99.0%
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64))))
99.2%
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
▶99.5%
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
▶99.2%
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1 binary64)))
99.3%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
▶99.4%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
52.7%
(exp.f64 (*.f64 (+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal -1 binary64)))
Compiler

Compiled 722 to 472 computations (34.6% saved)

simplify278.0ms (1.7%)

Memory
14.4MiB live, 284.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f64 base)
✓cost-diff0
(pow.f64 (log.f64 base) #s(literal 4 binary64))
✓cost-diff0
(atan2.f64 im re)
✓cost-diff0
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)))
✓cost-diff0
(log.f64 base)
✓cost-diff0
(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓cost-diff13952
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))))
✓cost-diff0
(log.f64 base)
✓cost-diff0
(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓cost-diff320
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
✓cost-diff12480
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base))
✓cost-diff0
(log.f64 base)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓cost-diff0
(atan2.f64 im re)
✓cost-diff320
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓cost-diff0
(log.f64 base)
✓cost-diff0
(atan2.f64 im re)
✓cost-diff0
(/.f64 (atan2.f64 im re) (log.f64 base))
Rules
6 044×*-lowering-*.f32
6 044×*-lowering-*.f64
2 666×cube-prod
2 476×/-lowering-/.f32
2 476×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024130
146130
282130
3171130
4265130
5481130
61040130
72800130
83335130
93716130
104163130
114771130
125534130
135852130
146050130
156208130
166370130
176532130
187616130
08086130
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (atan2 im re) (log base))
(atan2 im re)
im
re
(log base)
base
(* (atan2 im re) (/ 1 (log base)))
(atan2 im re)
im
re
(/ 1 (log base))
1
(log base)
base
(* (* (pow (log base) -2) (log base)) (atan2 im re))
(* (pow (log base) -2) (log base))
(pow (log base) -2)
(log base)
base
-2
(atan2 im re)
im
re
(/ (pow (log base) -2) (/ 1 (+ (* (atan2 im re) (log base)) 0)))
(pow (log base) -2)
(log base)
base
-2
(/ 1 (+ (* (atan2 im re) (log base)) 0))
1
(+ (* (atan2 im re) (log base)) 0)
(atan2 im re)
im
re
0
(* (/ (atan2 im re) (pow (log base) 4)) (pow (log base) 3))
(/ (atan2 im re) (pow (log base) 4))
(atan2 im re)
im
re
(pow (log base) 4)
(log base)
base
4
(pow (log base) 3)
3
Outputs
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2 im re)
(atan2.f64 im re)
im
re
(log base)
(log.f64 base)
base
(* (atan2 im re) (/ 1 (log base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2 im re)
(atan2.f64 im re)
im
re
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
1
#s(literal 1 binary64)
(log base)
(log.f64 base)
base
(* (* (pow (log base) -2) (log base)) (atan2 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (pow (log base) -2) (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(pow (log base) -2)
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log base)
(log.f64 base)
base
-2
#s(literal -2 binary64)
(atan2 im re)
(atan2.f64 im re)
im
re
(/ (pow (log base) -2) (/ 1 (+ (* (atan2 im re) (log base)) 0)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow (log base) -2)
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(log base)
(log.f64 base)
base
-2
#s(literal -2 binary64)
(/ 1 (+ (* (atan2 im re) (log base)) 0))
(/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(+ (* (atan2 im re) (log base)) 0)
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(atan2 im re)
(atan2.f64 im re)
im
re
0
#s(literal 0 binary64)
(* (/ (atan2 im re) (pow (log base) 4)) (pow (log base) 3))
(fma.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 0 binary64))
(/ (atan2 im re) (pow (log base) 4))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(atan2 im re)
(atan2.f64 im re)
im
re
(pow (log base) 4)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(log base)
(log.f64 base)
base
4
#s(literal 4 binary64)
(pow (log base) 3)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize96.0ms (0.6%)

Memory
2.1MiB live, 237.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
✓accuracy99.4%
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
✓accuracy98.9%
(pow.f64 (log.f64 base) #s(literal 3 binary64))
✓accuracy98.7%
(pow.f64 (log.f64 base) #s(literal 4 binary64))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)))
✓accuracy99.6%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))))
✓accuracy99.4%
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
✓accuracy99.3%
(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓accuracy100.0%
(log.f64 base)
✓accuracy99.6%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
✓accuracy99.5%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base))
✓accuracy99.3%
(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓accuracy100.0%
(atan2.f64 im re)
✓accuracy100.0%
(log.f64 base)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓accuracy99.6%
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓accuracy100.0%
(atan2.f64 im re)
✓accuracy100.0%
(log.f64 base)
✓accuracy99.6%
(/.f64 (atan2.f64 im re) (log.f64 base))
Samples
58.0ms256×0valid
Compiler

Compiled 152 to 26 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-div: 10.0ms (26.8% of total)
ival-pow: 10.0ms (26.8% of total)
ival-mult: 9.0ms (24.1% of total)
ival-atan2: 3.0ms (8% of total)
ival-log: 3.0ms (8% of total)
ival-add: 1.0ms (2.7% of total)
exact: 1.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series21.0ms (0.1%)

Memory
15.7MiB live, 52.1MiB allocated
Counts
15 → 384
Calls
Call 1
Inputs
#<alt (/ (atan2 im re) (log base))>
#<alt (atan2 im re)>
#<alt (log base)>
#<alt (* (atan2 im re) (/ 1 (log base)))>
#<alt (/ 1 (log base))>
#<alt (* (pow (log base) -2) (log base))>
#<alt (* (* (pow (log base) -2) (log base)) (atan2 im re))>
#<alt (pow (log base) -2)>
#<alt (/ (pow (log base) -2) (/ 1 (+ (* (atan2 im re) (log base)) 0)))>
#<alt (/ 1 (+ (* (atan2 im re) (log base)) 0))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (pow (log base) 4)>
#<alt (+ (* (atan2 im re) (log base)) 0)>
#<alt (pow (log base) 3)>
#<alt (* (/ (atan2 im re) (pow (log base) 4)) (pow (log base) 3))>
Outputs
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (/ -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (/ -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (/ -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))>
#<alt (/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))>
#<alt (/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))>
#<alt (/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log base) 4))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 4))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 4))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 4))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 4))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))>
#<alt (pow (log base) 4)>
#<alt (pow (log base) 4)>
#<alt (pow (log base) 4)>
#<alt (pow (log base) 4)>
#<alt (pow (log (/ 1 base)) 4)>
#<alt (pow (log (/ 1 base)) 4)>
#<alt (pow (log (/ 1 base)) 4)>
#<alt (pow (log (/ 1 base)) 4)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (pow (log base) 3)>
#<alt (pow (log base) 3)>
#<alt (pow (log base) 3)>
#<alt (pow (log base) 3)>
#<alt (* -1 (pow (log (/ 1 base)) 3))>
#<alt (* -1 (pow (log (/ 1 base)) 3))>
#<alt (* -1 (pow (log (/ 1 base)) 3))>
#<alt (* -1 (pow (log (/ 1 base)) 3))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
Calls

96 calls:

TimeVariablePointExpression
2.0ms
im
@inf
(/ 1 (+ (* (atan2 im re) (log base)) 0))
1.0ms
base
@-inf
(/ (atan2 im re) (pow (log base) 4))
1.0ms
im
@0
(/ (atan2 im re) (pow (log base) 4))
1.0ms
base
@inf
(/ (atan2 im re) (pow (log base) 4))
1.0ms
base
@-inf
(/ 1 (log base))

rewrite725.0ms (4.4%)

Memory
-22.0MiB live, 1 167.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 424×accelerator-lowering-fma.f32
3 424×accelerator-lowering-fma.f64
3 398×*-lowering-*.f32
3 398×*-lowering-*.f64
2 254×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02477
110777
261777
0536077
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
15 → 4 281
Calls
Call 1
Inputs
(/ (atan2 im re) (log base))
(atan2 im re)
(log base)
(* (atan2 im re) (/ 1 (log base)))
(/ 1 (log base))
(* (pow (log base) -2) (log base))
(* (* (pow (log base) -2) (log base)) (atan2 im re))
(pow (log base) -2)
(/ (pow (log base) -2) (/ 1 (+ (* (atan2 im re) (log base)) 0)))
(/ 1 (+ (* (atan2 im re) (log base)) 0))
(/ (atan2 im re) (pow (log base) 4))
(pow (log base) 4)
(+ (* (atan2 im re) (log base)) 0)
(pow (log base) 3)
(* (/ (atan2 im re) (pow (log base) 4)) (pow (log base) 3))
Outputs
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base))) (*.f64 #s(literal -1 binary64) (log.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 base))) (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)))) (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(fma.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(fma.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(fma.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (*.f64 (-.f64 #s(literal 0 binary64) (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 binary64) (atan2.f64 im re))) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
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(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (fma.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 3 binary64)) (log.f64 base)))
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(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 base))) (atan2.f64 im re))
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(*.f64 (/.f64 (fma.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 5 binary64))) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))))

simplify408.0ms (2.5%)

Memory
32.4MiB live, 632.0MiB allocated
Algorithm
1×egg-herbie
Rules
10 730×accelerator-lowering-fma.f32
10 730×accelerator-lowering-fma.f64
2 558×unsub-neg
2 334×*-lowering-*.f32
2 334×*-lowering-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0482576
1802520
21512520
33912520
49732520
529332520
654352520
776722520
081122520
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
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(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(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))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
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(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (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)))))
(/ 1 (log base))
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(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ 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))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ -1 (* (log (/ 1 base)) (atan2 im re)))
(/ -1 (* (log (/ 1 base)) (atan2 im re)))
(/ -1 (* (log (/ 1 base)) (atan2 im re)))
(/ -1 (* (log (/ 1 base)) (atan2 im re)))
(/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log base) 4))
(/ (atan2 im re) (pow (log (/ 1 base)) 4))
(/ (atan2 im re) (pow (log (/ 1 base)) 4))
(/ (atan2 im re) (pow (log (/ 1 base)) 4))
(/ (atan2 im re) (pow (log (/ 1 base)) 4))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))
(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)
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(pow (log base) 3)
(pow (log base) 3)
(pow (log base) 3)
(pow (log base) 3)
(* -1 (pow (log (/ 1 base)) 3))
(* -1 (pow (log (/ 1 base)) 3))
(* -1 (pow (log (/ 1 base)) 3))
(* -1 (pow (log (/ 1 base)) 3))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
Outputs
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
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(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
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(/ (atan2 im re) (pow (log (/ 1 base)) 4))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 4 binary64)))
(/ (atan2 im re) (pow (log (/ 1 base)) 4))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 4 binary64)))
(/ (atan2 im re) (pow (log (/ 1 base)) 4))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 4 binary64)))
(/ (atan2 im re) (pow (log (/ 1 base)) 4))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 4 binary64)))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64)))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64)))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64)))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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 base) 4)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(pow (log (/ 1 base)) 4)
(pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 4 binary64))
(pow (log (/ 1 base)) 4)
(pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 4 binary64))
(pow (log (/ 1 base)) 4)
(pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 4 binary64))
(pow (log (/ 1 base)) 4)
(pow.f64 (-.f64 #s(literal 0 binary64) (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))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(fma.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 0 binary64))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(fma.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 0 binary64))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(fma.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 0 binary64))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(fma.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 0 binary64))
(pow (log base) 3)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(pow (log base) 3)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(pow (log base) 3)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(pow (log base) 3)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 base)) 3))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 base)) 3))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 base)) 3))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 base)) 3))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))

eval1.1s (6.7%)

Memory
-70.8MiB live, 1 577.1MiB allocated
Compiler

Compiled 140 039 to 6 266 computations (95.5% saved)

prune732.0ms (4.4%)

Memory
36.5MiB live, 1 301.4MiB allocated
Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New5 803165 819
Fresh9817
Picked235
Done000
Total5 814275 841
Accuracy
100.0%
Counts
5 841 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
84.8%
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)))
99.4%
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1 binary64)) (log.f64 base))
99.3%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))))
50.8%
(/.f64 (atan2.f64 im re) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
99.4%
(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓99.6%
(/.f64 (atan2.f64 im re) (log.f64 base))
84.7%
(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
99.3%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))))
99.4%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))
99.2%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
▶99.2%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 base)))) (log.f64 base))
▶99.5%
(/.f64 (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 base))
▶99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
99.1%
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
99.4%
(*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
▶55.5%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
50.8%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (atan2.f64 im re))
83.7%
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
99.2%
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
99.4%
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
✓99.5%
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
50.4%
(*.f64 (atan2.f64 im re) (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (log.f64 base)))))
99.1%
(*.f64 (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
99.3%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
✓99.4%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
52.7%
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
Compiler

Compiled 772 to 525 computations (32% saved)

simplify122.0ms (0.7%)

Memory
-18.9MiB live, 216.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)))
✓cost-diff0
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 base)))) (log.f64 base))
✓cost-diff1408
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 base))))
✓cost-diff13696
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
✓cost-diff0
(log.f64 base)
✓cost-diff0
(atan2.f64 im re)
✓cost-diff0
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
✓cost-diff13248
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓cost-diff0
(atan2.f64 im re)
✓cost-diff0
(log.f64 base)
✓cost-diff0
(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓cost-diff0
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
✓cost-diff0
(atan2.f64 im re)
✓cost-diff0
(log.f64 base)
✓cost-diff0
(/.f64 (log.f64 base) (atan2.f64 im re))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
✓cost-diff0
(atan2.f64 im re)
✓cost-diff0
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
✓cost-diff0
(/.f64 (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 base))
✓cost-diff14208
(*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
Rules
2 558×*-lowering-*.f32
2 558×*-lowering-*.f64
2 156×div-sub
1 666×accelerator-lowering-fma.f32
1 666×accelerator-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026243
148215
2133148
3478148
41931148
53935148
66766148
77870148
08089148
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (+ (* (atan2 im re) (log base)) 0) (/ 1 (log base))) (log base))
(* (+ (* (atan2 im re) (log base)) 0) (/ 1 (log base)))
(+ (* (atan2 im re) (log base)) 0)
(atan2 im re)
im
re
(log base)
base
0
(/ 1 (log base))
1
(/ 1 (/ (log base) (atan2 im re)))
1
(/ (log base) (atan2 im re))
(log base)
base
(atan2 im re)
im
re
(* (pow (pow (log base) 2) -1/2) (atan2 im re))
(pow (pow (log base) 2) -1/2)
(pow (log base) 2)
(log base)
base
2
-1/2
(atan2 im re)
im
re
(/ (+ (* (atan2 im re) (log base)) 0) (pow (log base) 2))
(+ (* (atan2 im re) (log base)) 0)
(atan2 im re)
im
re
(log base)
base
0
(pow (log base) 2)
2
(/ (/ -1 (* (/ 1 (+ (* (atan2 im re) (log base)) 0)) (- 0 (log base)))) (log base))
(/ -1 (* (/ 1 (+ (* (atan2 im re) (log base)) 0)) (- 0 (log base))))
-1
(* (/ 1 (+ (* (atan2 im re) (log base)) 0)) (- 0 (log base)))
(/ 1 (+ (* (atan2 im re) (log base)) 0))
1
(+ (* (atan2 im re) (log base)) 0)
(atan2 im re)
im
re
(log base)
base
0
(- 0 (log base))
Outputs
(/ (* (+ (* (atan2 im re) (log base)) 0) (/ 1 (log base))) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (+ (* (atan2 im re) (log base)) 0) (/ 1 (log base)))
(atan2.f64 im re)
(+ (* (atan2 im re) (log base)) 0)
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(atan2 im re)
(atan2.f64 im re)
im
re
(log base)
(log.f64 base)
base
0
#s(literal 0 binary64)
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
1
#s(literal 1 binary64)
(/ 1 (/ (log base) (atan2 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
1
#s(literal 1 binary64)
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log base)
(log.f64 base)
base
(atan2 im re)
(atan2.f64 im re)
im
re
(* (pow (pow (log base) 2) -1/2) (atan2 im re))
(fma.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(pow (pow (log base) 2) -1/2)
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(log base)
(log.f64 base)
base
2
#s(literal 2 binary64)
-1/2
#s(literal -1/2 binary64)
(atan2 im re)
(atan2.f64 im re)
im
re
(/ (+ (* (atan2 im re) (log base)) 0) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+ (* (atan2 im re) (log base)) 0)
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(atan2 im re)
(atan2.f64 im re)
im
re
(log base)
(log.f64 base)
base
0
#s(literal 0 binary64)
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (/ -1 (* (/ 1 (+ (* (atan2 im re) (log base)) 0)) (- 0 (log base)))) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ -1 (* (/ 1 (+ (* (atan2 im re) (log base)) 0)) (- 0 (log base))))
(atan2.f64 im re)
-1
#s(literal -1 binary64)
(* (/ 1 (+ (* (atan2 im re) (log base)) 0)) (- 0 (log base)))
(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
(/ 1 (+ (* (atan2 im re) (log base)) 0))
(/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(+ (* (atan2 im re) (log base)) 0)
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(atan2 im re)
(atan2.f64 im re)
im
re
(log base)
(log.f64 base)
base
0
#s(literal 0 binary64)
(- 0 (log base))
(-.f64 #s(literal 0 binary64) (log.f64 base))

localize144.0ms (0.9%)

Memory
6.9MiB live, 245.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 base)))) (log.f64 base))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)))
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
✓accuracy99.4%
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
✓accuracy100.0%
(log.f64 base)
✓accuracy99.5%
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓accuracy99.4%
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
✓accuracy99.3%
(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓accuracy100.0%
(log.f64 base)
✓accuracy99.9%
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
✓accuracy99.6%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
✓accuracy99.3%
(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓accuracy100.0%
(atan2.f64 im re)
✓accuracy100.0%
(log.f64 base)
✓accuracy99.5%
(/.f64 (log.f64 base) (atan2.f64 im re))
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
✓accuracy99.6%
(/.f64 (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 base))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓accuracy99.4%
(*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓accuracy99.4%
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
Samples
95.0ms256×0valid
Compiler

Compiled 216 to 28 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 41.0ms (55.6% of total)
ival-div: 13.0ms (17.6% of total)
ival-pow: 6.0ms (8.1% of total)
ival-log: 5.0ms (6.8% of total)
ival-atan2: 3.0ms (4.1% of total)
ival-pow2: 3.0ms (4.1% of total)
ival-add: 1.0ms (1.4% of total)
ival-sub: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory
-7.2MiB live, 31.7MiB allocated
Counts
16 → 468
Calls
Call 1
Inputs
#<alt (* (+ (* (atan2 im re) (log base)) 0) (/ 1 (log base)))>
#<alt (/ (* (+ (* (atan2 im re) (log base)) 0) (/ 1 (log base))) (log base))>
#<alt (+ (* (atan2 im re) (log base)) 0)>
#<alt (atan2 im re)>
#<alt (/ 1 (/ (log base) (atan2 im re)))>
#<alt (/ (log base) (atan2 im re))>
#<alt (log base)>
#<alt (pow (pow (log base) 2) -1/2)>
#<alt (pow (log base) 2)>
#<alt (/ (+ (* (atan2 im re) (log base)) 0) (pow (log base) 2))>
#<alt (* (/ 1 (+ (* (atan2 im re) (log base)) 0)) (- 0 (log base)))>
#<alt (/ -1 (* (/ 1 (+ (* (atan2 im re) (log base)) 0)) (- 0 (log base))))>
#<alt (/ (/ -1 (* (/ 1 (+ (* (atan2 im re) (log base)) 0)) (- 0 (log base)))) (log base))>
#<alt (/ 1 (+ (* (atan2 im re) (log base)) 0))>
#<alt (/ 1 (log base))>
#<alt (* (pow (pow (log base) 2) -1/2) (atan2 im re))>
Outputs
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (/ -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (/ -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (/ -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))>
#<alt (/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))>
#<alt (/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))>
#<alt (/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
Calls

117 calls:

TimeVariablePointExpression
1.0ms
base
@0
(pow (pow (log base) 2) -1/2)
0.0ms
base
@-inf
(/ (log base) (atan2 im re))
0.0ms
im
@inf
(* (/ 1 (+ (* (atan2 im re) (log base)) 0)) (- 0 (log base)))
0.0ms
im
@0
(* (/ 1 (+ (* (atan2 im re) (log base)) 0)) (- 0 (log base)))
0.0ms
im
@inf
(/ (log base) (atan2 im re))

rewrite906.0ms (5.5%)

Memory
-27.6MiB live, 1 622.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 504×accelerator-lowering-fma.f32
5 504×accelerator-lowering-fma.f64
3 346×*-lowering-*.f32
3 346×*-lowering-*.f64
2 332×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026133
1138101
2112878
3688178
0805978
Stop Event
1×iter limit
1×node limit
Counts
16 → 5 538
Calls
Call 1
Inputs
(* (+ (* (atan2 im re) (log base)) 0) (/ 1 (log base)))
(/ (* (+ (* (atan2 im re) (log base)) 0) (/ 1 (log base))) (log base))
(+ (* (atan2 im re) (log base)) 0)
(atan2 im re)
(/ 1 (/ (log base) (atan2 im re)))
(/ (log base) (atan2 im re))
(log base)
(pow (pow (log base) 2) -1/2)
(pow (log base) 2)
(/ (+ (* (atan2 im re) (log base)) 0) (pow (log base) 2))
(* (/ 1 (+ (* (atan2 im re) (log base)) 0)) (- 0 (log base)))
(/ -1 (* (/ 1 (+ (* (atan2 im re) (log base)) 0)) (- 0 (log base))))
(/ (/ -1 (* (/ 1 (+ (* (atan2 im re) (log base)) 0)) (- 0 (log base)))) (log base))
(/ 1 (+ (* (atan2 im re) (log base)) 0))
(/ 1 (log base))
(* (pow (pow (log base) 2) -1/2) (atan2 im re))
Outputs
(+.f64 (atan2.f64 im re) #s(literal 0 binary64))
(+.f64 (atan2.f64 im re) (*.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(+.f64 (atan2.f64 im re) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64)))
(+.f64 (atan2.f64 im re) (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(+.f64 (atan2.f64 im re) (*.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(+.f64 #s(literal 0 binary64) (atan2.f64 im re))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))) (atan2.f64 im re))
(+.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64)) (atan2.f64 im re))
(+.f64 (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)) (atan2.f64 im re))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))
(exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (log.f64 base))) (*.f64 #s(literal -1 binary64) (log.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))))))
(-.f64 (atan2.f64 im re) #s(literal 0 binary64))
(-.f64 (atan2.f64 im re) (/.f64 #s(literal 0 binary64) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(fma.f64 (atan2.f64 im re) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (atan2.f64 im re) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(fma.f64 (atan2.f64 im re) #s(literal 1 binary64) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (atan2.f64 im re) #s(literal 1 binary64) (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(fma.f64 (atan2.f64 im re) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(fma.f64 (atan2.f64 im re) (/.f64 (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (atan2.f64 im re) (/.f64 (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(fma.f64 (atan2.f64 im re) (/.f64 (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (atan2.f64 im re) (/.f64 (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(fma.f64 (atan2.f64 im re) (/.f64 (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(fma.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(fma.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(fma.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)) (atan2.f64 im re))
(fma.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (atan2.f64 im re))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (atan2.f64 im re) #s(literal 0 binary64))
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(*.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 0 binary64))))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -1 binary64))
(*.f64 (fma.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
(*.f64 (fma.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (log.f64 base) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64))))
(*.f64 (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (atan2.f64 im re) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64))))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
(*.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (log.f64 base)) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (log.f64 base))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))))
(*.f64 (*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) (log.f64 base))
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))

simplify297.0ms (1.8%)

Memory
-3.3MiB live, 470.1MiB allocated
Algorithm
1×egg-herbie
Rules
2 272×accelerator-lowering-fma.f32
2 272×accelerator-lowering-fma.f64
960×*-lowering-*.f32
960×*-lowering-*.f64
494×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0382724
1652676
21142676
32672676
46612676
513202676
620842676
728802676
832922676
933382676
1033432676
1133432676
1233932676
1334112676
034112676
Stop Event
1×iter limit
1×saturated
Counts
468 → 468
Calls
Call 1
Inputs
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(log base)
(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 (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)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
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(atan2 im re)
(atan2 im re)
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(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ -1 (* (log (/ 1 base)) (atan2 im re)))
(/ -1 (* (log (/ 1 base)) (atan2 im re)))
(/ -1 (* (log (/ 1 base)) (atan2 im re)))
(/ -1 (* (log (/ 1 base)) (atan2 im re)))
(/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
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(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
Outputs
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(fma.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 0 binary64))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(fma.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 0 binary64))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(fma.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 0 binary64))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(fma.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 0 binary64))
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
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(/.f64 #s(literal -1 binary64) (fma.f64 (atan2.f64 im re) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64)))
(/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(/.f64 #s(literal -1 binary64) (fma.f64 (atan2.f64 im re) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64)))
(/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(/.f64 #s(literal -1 binary64) (fma.f64 (atan2.f64 im re) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64)))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))

eval1.9s (11.4%)

Memory
74.3MiB live, 2 969.6MiB allocated
Compiler

Compiled 232 937 to 13 390 computations (94.3% saved)

prune1.1s (6.9%)

Memory
-1.2MiB live, 2 618.4MiB allocated
Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New9 101129 113
Fresh81119
Picked415
Done033
Total9 113279 140
Accuracy
100.0%
Counts
9 140 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.7%
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
50.7%
(/.f64 (fma.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
84.8%
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)))
99.4%
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1 binary64)) (log.f64 base))
99.3%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))))
▶99.4%
(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓99.6%
(/.f64 (atan2.f64 im re) (log.f64 base))
84.7%
(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
99.3%
(/.f64 (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
50.8%
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
99.4%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))
99.2%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
99.2%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))) (log.f64 base))) (log.f64 base))
84.3%
(/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))
▶99.4%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
▶50.8%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re)))
✓99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
▶99.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
50.7%
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))))
▶99.4%
(*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
83.7%
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
✓99.5%
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
99.3%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
✓99.4%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
50.4%
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
52.7%
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
Compiler

Compiled 733 to 493 computations (32.7% saved)

simplify248.0ms (1.5%)

Memory
-18.0MiB live, 255.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓cost-diff0
(atan2.f64 im re)
✓cost-diff0
(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓cost-diff13888
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓cost-diff0
(log.f64 base)
✓cost-diff0
(atan2.f64 im re)
✓cost-diff0
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
✓cost-diff12864
(*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
✓cost-diff0
(sqrt.f64 (log.f64 base))
✓cost-diff0
(/.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re)))
✓cost-diff7104
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
✓cost-diff0
(atan2.f64 im re)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
✓cost-diff0
(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓cost-diff0
(log.f64 base)
✓cost-diff0
(atan2.f64 im re)
✓cost-diff13248
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
Rules
4 282×*-lowering-*.f32
4 282×*-lowering-*.f64
2 034×cube-prod
1 674×times-frac
1 334×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025159
146155
299130
3344130
42840130
53203130
63892130
75070130
86799130
97267130
107605130
117983130
08029130
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (atan2 im re) (log base)) (pow (log base) 2))
(* (atan2 im re) (log base))
(atan2 im re)
im
re
(log base)
base
(pow (log base) 2)
2
(/ 1 (* (/ 1 (atan2 im re)) (log base)))
1
(* (/ 1 (atan2 im re)) (log base))
(/ 1 (atan2 im re))
(atan2 im re)
im
re
(log base)
base
(/ 1 (/ (pow (sqrt (log base)) 2) (atan2 im re)))
1
(/ (pow (sqrt (log base)) 2) (atan2 im re))
(pow (sqrt (log base)) 2)
(sqrt (log base))
(log base)
base
2
(atan2 im re)
im
re
(* (+ (* (atan2 im re) (log base)) 0) (pow (log base) -2))
(+ (* (atan2 im re) (log base)) 0)
(atan2 im re)
im
re
(log base)
base
0
(pow (log base) -2)
-2
(/ (atan2 im re) (* (pow (log base) 2) (/ 1 (log base))))
(atan2 im re)
im
re
(* (pow (log base) 2) (/ 1 (log base)))
(pow (log base) 2)
(log base)
base
2
(/ 1 (log base))
1
Outputs
(/ (* (atan2 im re) (log base)) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (atan2 im re) (log base))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(atan2 im re)
(atan2.f64 im re)
im
re
(log base)
(log.f64 base)
base
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ 1 (* (/ 1 (atan2 im re)) (log base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
1
#s(literal 1 binary64)
(* (/ 1 (atan2 im re)) (log base))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(atan2 im re)
(atan2.f64 im re)
im
re
(log base)
(log.f64 base)
base
(/ 1 (/ (pow (sqrt (log base)) 2) (atan2 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
1
#s(literal 1 binary64)
(/ (pow (sqrt (log base)) 2) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(pow (sqrt (log base)) 2)
(log.f64 base)
(sqrt (log base))
(sqrt.f64 (log.f64 base))
(log base)
(log.f64 base)
base
2
#s(literal 2 binary64)
(atan2 im re)
(atan2.f64 im re)
im
re
(* (+ (* (atan2 im re) (log base)) 0) (pow (log base) -2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+ (* (atan2 im re) (log base)) 0)
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(atan2 im re)
(atan2.f64 im re)
im
re
(log base)
(log.f64 base)
base
0
#s(literal 0 binary64)
(pow (log base) -2)
(pow.f64 (log.f64 base) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ (atan2 im re) (* (pow (log base) 2) (/ 1 (log base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2 im re)
(atan2.f64 im re)
im
re
(* (pow (log base) 2) (/ 1 (log base)))
(log.f64 base)
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(log base)
(log.f64 base)
base
2
#s(literal 2 binary64)
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
1
#s(literal 1 binary64)

localize100.0ms (0.6%)

Memory
29.9MiB live, 186.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓accuracy99.8%
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (log.f64 base))
✓accuracy99.7%
(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓accuracy100.0%
(log.f64 base)
✓accuracy99.8%
(*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
✓accuracy99.7%
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
✓accuracy99.6%
(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓accuracy99.9%
(sqrt.f64 (log.f64 base))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re)))
✓accuracy99.8%
(/.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re))
✓accuracy99.6%
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
✓accuracy100.0%
(log.f64 base)
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
✓accuracy100.0%
(log.f64 base)
✓accuracy99.7%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓accuracy99.7%
(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓accuracy99.7%
(*.f64 (atan2.f64 im re) (log.f64 base))
Samples
30.0ms131×0valid
29.0ms125×0invalid
Compiler

Compiled 175 to 27 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-div: 13.0ms (35.1% of total)
ival-mult: 6.0ms (16.2% of total)
ival-pow2: 5.0ms (13.5% of total)
ival-log: 4.0ms (10.8% of total)
ival-pow: 4.0ms (10.8% of total)
ival-atan2: 3.0ms (8.1% of total)
ival-sqrt: 2.0ms (5.4% of total)
ival-add: 1.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-14.3MiB live, 28.7MiB allocated
Counts
18 → 456
Calls
Call 1
Inputs
#<alt (/ (* (atan2 im re) (log base)) (pow (log base) 2))>
#<alt (atan2 im re)>
#<alt (log base)>
#<alt (pow (log base) 2)>
#<alt (/ 1 (* (/ 1 (atan2 im re)) (log base)))>
#<alt (* (/ 1 (atan2 im re)) (log base))>
#<alt (/ 1 (atan2 im re))>
#<alt (pow (sqrt (log base)) 2)>
#<alt (/ 1 (/ (pow (sqrt (log base)) 2) (atan2 im re)))>
#<alt (/ (pow (sqrt (log base)) 2) (atan2 im re))>
#<alt (sqrt (log base))>
#<alt (* (+ (* (atan2 im re) (log base)) 0) (pow (log base) -2))>
#<alt (+ (* (atan2 im re) (log base)) 0)>
#<alt (* (pow (log base) 2) (/ 1 (log base)))>
#<alt (/ (atan2 im re) (* (pow (log base) 2) (/ 1 (log base))))>
#<alt (* (atan2 im re) (log base))>
#<alt (pow (log base) -2)>
#<alt (/ 1 (log base))>
Outputs
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
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Calls

114 calls:

TimeVariablePointExpression
2.0ms
base
@-inf
(pow (log base) 2)
0.0ms
im
@-inf
(/ 1 (atan2 im re))
0.0ms
re
@inf
(/ 1 (atan2 im re))
0.0ms
im
@inf
(/ 1 (atan2 im re))
0.0ms
re
@-inf
(/ 1 (atan2 im re))

rewrite407.0ms (2.5%)

Memory
6.4MiB live, 710.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
2 984×*-lowering-*.f32
2 984×*-lowering-*.f64
2 232×/-lowering-/.f32
2 232×/-lowering-/.f64
2 152×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025112
112183
273183
0528383
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
18 → 3 126
Calls
Call 1
Inputs
(/ (* (atan2 im re) (log base)) (pow (log base) 2))
(atan2 im re)
(log base)
(pow (log base) 2)
(/ 1 (* (/ 1 (atan2 im re)) (log base)))
(* (/ 1 (atan2 im re)) (log base))
(/ 1 (atan2 im re))
(pow (sqrt (log base)) 2)
(/ 1 (/ (pow (sqrt (log base)) 2) (atan2 im re)))
(/ (pow (sqrt (log base)) 2) (atan2 im re))
(sqrt (log base))
(* (+ (* (atan2 im re) (log base)) 0) (pow (log base) -2))
(+ (* (atan2 im re) (log base)) 0)
(* (pow (log base) 2) (/ 1 (log base)))
(/ (atan2 im re) (* (pow (log base) 2) (/ 1 (log base))))
(* (atan2 im re) (log base))
(pow (log base) -2)
(/ 1 (log base))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 (log.f64 base))) (*.f64 #s(literal -1 binary64) (log.f64 (atan2.f64 im re)))))
(-.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 base))) (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(fma.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (atan2.f64 im re) (/.f64 (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (/.f64 (fma.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (*.f64 (atan2.f64 im re) (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 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (atan2.f64 im re) (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 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 0 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 0 binary64)) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 0 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (fma.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (pow.f64 (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (atan2.f64 im re)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (atan2.f64 im re) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (sqrt.f64 (log.f64 base))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64))) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 base))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64)))) (fma.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 5 binary64))) (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64))
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(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 base))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (log.f64 base))))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base)))))
(exp.f64 (fma.f64 #s(literal -2 binary64) (log.f64 (log.f64 base)) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (log.f64 (log.f64 base)) (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base)))))
(exp.f64 (-.f64 (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base))) (-.f64 #s(literal 0 binary64) (log.f64 (log.f64 base)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(neg.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (log.f64 base) (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 3 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (log.f64 base)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))))
(/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 base))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 base)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (*.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (log.f64 base))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal 1 binary64)) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base))
(/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (log.f64 base)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (sqrt.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (sqrt.f64 (log.f64 base))))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (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))
(pow.f64 (*.f64 (sqrt.f64 (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (log.f64 base))) #s(literal 2 binary64))
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 base))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 base)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 base))) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 base))) #s(literal -2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (*.f64 (sqrt.f64 (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (log.f64 base))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (sqrt.f64 (log.f64 base))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 base))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))

simplify268.0ms (1.6%)

Memory
-29.0MiB live, 306.2MiB allocated
Algorithm
1×egg-herbie
Rules
2 256×accelerator-lowering-fma.f32
2 256×accelerator-lowering-fma.f64
948×*-lowering-*.f32
948×*-lowering-*.f64
476×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0432812
1682748
21182748
32652748
46482748
513172748
620012748
728102748
831892748
932312748
1032372748
1132372748
1232862748
1333042748
033042748
Stop Event
1×iter limit
1×saturated
Counts
456 → 456
Calls
Call 1
Inputs
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(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))))
(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)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(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))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(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)))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(log 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))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ 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))
(/ 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)))))
Outputs
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(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))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
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(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(fma.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 0 binary64))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(fma.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 0 binary64))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(fma.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 0 binary64))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(fma.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 0 binary64))
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (log base) (atan2 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(fma.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 0 binary64))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(fma.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 0 binary64))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(fma.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 0 binary64))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(fma.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 0 binary64))
(/ 1 (pow (log base) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ 1 (pow (log base) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ 1 (pow (log base) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ 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)))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64))))

eval1.2s (7.1%)

Memory
72.8MiB live, 1 149.9MiB allocated
Compiler

Compiled 98 913 to 6 108 computations (93.8% saved)

prune1.3s (7.7%)

Memory
40.8MiB live, 1 081.2MiB allocated
Pruning

27 alts after pruning (21 fresh and 6 done)

PrunedKeptTotal
New4 88184 889
Fresh51318
Picked325
Done044
Total4 889274 916
Accuracy
100.0%
Counts
4 916 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.7%
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
84.8%
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)))
99.4%
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1 binary64)) (log.f64 base))
99.3%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))))
50.8%
(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
✓99.6%
(/.f64 (atan2.f64 im re) (log.f64 base))
84.7%
(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
99.3%
(/.f64 (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
50.8%
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
99.4%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))
50.8%
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
99.2%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
99.2%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))) (log.f64 base))) (log.f64 base))
✓99.4%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
50.7%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 base))) #s(literal 2 binary64)) (atan2.f64 im re)))
50.7%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) #s(literal 2 binary64)) (atan2.f64 im re)))
✓99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
57.8%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)))
50.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
✓99.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
99.3%
(*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
✓99.5%
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
99.3%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
✓99.4%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
99.4%
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
52.7%
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
Compiler

Compiled 1 159 to 429 computations (63% saved)

regimes127.0ms (0.8%)

Memory
-25.0MiB live, 242.7MiB allocated
Accuracy

Total -54.7b remaining (-21898%)

Threshold costs -54.7b (-21898%)

Counts
59 → 1
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))
(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1 binary64)) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re)))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))) #s(literal 2 binary64)) (atan2.f64 im re)))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (atan2.f64 im re))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (log.f64 base)))))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
(*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal -1 binary64)))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)))
(*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))) (log.f64 base))
(/.f64 (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (/.f64 (fma.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 0 binary64)) (log.f64 base)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 base))) #s(literal 2 binary64)) (atan2.f64 im re)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))) (log.f64 base))) (log.f64 base))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 base)))) (log.f64 base))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (fma.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64))))
(/.f64 (pow.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64)))
(/.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64)))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
Calls

5 calls:

56.0ms
base
18.0ms
re
17.0ms
(log.f64 base)
17.0ms
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
16.0ms
im
Results
AccuracySegmentsBranch
99.6%1re
99.6%1im
99.6%1base
99.6%1(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.6%1(log.f64 base)
Compiler

Compiled 48 to 31 computations (35.4% saved)

simplify13.0ms (0.1%)

Memory
-21.8MiB live, 21.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

soundness121.0ms (0.7%)

Memory
-9.5MiB live, 109.6MiB allocated
Rules
5 482×accelerator-lowering-fma.f32
5 482×accelerator-lowering-fma.f64
4 232×*-lowering-*.f32
4 232×*-lowering-*.f64
3 170×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01843
19237
270632
3702332
0846627
Stop Event
1×fuel
1×iter limit
1×node limit
Compiler

Compiled 18 to 12 computations (33.3% saved)

preprocess33.0ms (0.2%)

Memory
23.3MiB live, 102.3MiB allocated
Compiler

Compiled 80 to 48 computations (40% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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