math.log/2 on complex, imaginary part

Time bar (total: 11.0s)

analyze160.0ms (1.5%)

Memory
-17.1MiB live, 247.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%49.9%0.1%0%49.9%0%4
0%0%49.9%0.1%0%49.9%0%5
0%0%49.9%0.1%0%49.9%0%6
9.4%4.7%45.2%0.1%0%49.9%0%7
17.2%8.6%41.3%0.1%0%49.9%0%8
27.3%13.7%36.3%0.1%0%49.9%0%9
41%20.5%29.4%0.1%0%49.9%0%10
48.6%24.3%25.6%0.1%0%49.9%0%11
57.1%28.5%21.4%0.1%0%49.9%0%12
Compiler

Compiled 30 to 17 computations (43.3% saved)

sample1.8s (16.3%)

Memory
39.6MiB live, 1 606.9MiB allocated
Samples
1.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 995.0ms
ival-log: 290.0ms (29.1% of total)
ival-mult: 281.0ms (28.2% of total)
ival-hypot: 163.0ms (16.4% of total)
ival-atan2: 91.0ms (9.1% of total)
ival-div: 65.0ms (6.5% of total)
ival-sub: 56.0ms (5.6% of total)
ival-add: 36.0ms (3.6% 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

preprocess431.0ms (3.9%)

Memory
7.8MiB live, 295.9MiB allocated
Algorithm
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
iter limit
node limit
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))

explain554.0ms (5%)

Memory
-30.6MiB live, 363.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1330-2(-2.4609630341434147e-298 -6.940773206329477e-159 7.74320465282239e-156)(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
10-1(6.330576228559647e+70 3.9334711270540447e-240 6.0146840799108025e+146)(*.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-rescue1150
(+.f64 (*.f64 re re) (*.f64 im im))overflow115
(*.f64 re re)overflow71
(*.f64 im im)overflow58
Confusion
Predicted +Predicted -
+11516
-0125
Precision
1.0
Recall
0.8778625954198473
Confusion?
Predicted +Predicted MaybePredicted -
+115016
-00125
Precision?
1.0
Recall?
0.8778625954198473
Freqs
test
numberfreq
0141
1115
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
147.0ms512×0valid
Compiler

Compiled 304 to 76 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-log: 45.0ms (55.7% of total)
ival-mult: 14.0ms (17.3% of total)
ival-hypot: 8.0ms (9.9% of total)
ival-add: 4.0ms (5% of total)
ival-atan2: 4.0ms (5% of total)
ival-div: 3.0ms (3.7% of total)
ival-sub: 2.0ms (2.5% 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
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.5%
(/.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))))
Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify305.0ms (2.8%)

Memory
-2.9MiB live, 333.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.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
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
cost-diff12992
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
cost-diff13056
(/.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
iter limit
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))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (atan2 im re) (log base))
(*.f64 (atan2.f64 im re) (log.f64 base))
(atan2 im re)
(atan2.f64 im re)
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 (hypot.f64 im re))
(sqrt (+ (* re re) (* im im)))
(hypot.f64 im re)
(+ (* re re) (* im im))
(+.f64 (*.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))
(*.f64 (log.f64 base) (log.f64 base))
(* (log base) (log base))
(*.f64 (log.f64 base) (log.f64 base))
(* 0 0)
#s(literal 0 binary64)

localize59.0ms (0.5%)

Memory
14.4MiB live, 128.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.4%
(/.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))
accuracy52.2%
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Samples
38.0ms256×0valid
Compiler

Compiled 121 to 20 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 7.0ms (29.4% of total)
ival-log: 6.0ms (25.2% of total)
ival-hypot: 4.0ms (16.8% of total)
ival-add: 2.0ms (8.4% of total)
ival-atan2: 2.0ms (8.4% of total)
ival-div: 1.0ms (4.2% of total)
ival-sub: 1.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series91.0ms (0.8%)

Memory
23.6MiB live, 216.6MiB allocated
Counts
6 → 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 (sqrt (+ (* re re) (* im im)))>
#<alt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0))>
#<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 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 (* (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) 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
30.0ms
im
@0
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
22.0ms
base
@0
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
18.0ms
base
@-inf
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
6.0ms
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)))

rewrite540.0ms (4.9%)

Memory
-29.7MiB live, 1 043.5MiB allocated
Algorithm
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
01842
19236
270631
3702331
0846626
Stop Event
iter limit
node limit
Counts
6 → 1 565
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)
(sqrt (+ (* re re) (* im im)))
(- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0))
(* (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 (*.f64 (atan2.f64 im re) (log.f64 base)) (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 (*.f64 (atan2.f64 im re) (log.f64 base)) (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 (log.f64 (*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (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 (*.f64 (atan2.f64 im re) (log.f64 base)) (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 (*.f64 (atan2.f64 im re) (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 (atan2.f64 im re) (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))))
(fma.f64 (atan2.f64 im re) (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (atan2.f64 im re) (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 (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 (*.f64 (atan2.f64 im re) (log.f64 base)) (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 (*.f64 (log.f64 base) (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 (log.f64 base) (/.f64 (*.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))))
(fma.f64 (log.f64 base) (/.f64 (*.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (*.f64 (atan2.f64 im re) (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 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))))
(fma.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (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)) (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))))
(fma.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #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)) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))))
(fma.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (atan2.f64 im re) (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 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (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 (*.f64 (atan2.f64 im re) (log.f64 base)) (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)) (*.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 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (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)) (*.f64 (atan2.f64 im re) (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 (*.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))))
(fma.f64 (*.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))) (/.f64 #s(literal -1 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 (/.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 (*.f64 (atan2.f64 im re) (log.f64 base)) (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 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))))
(fma.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #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 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))))
(fma.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (*.f64 (atan2.f64 im re) (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 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))))
(fma.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #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 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))))
(fma.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #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 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))))
(fma.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (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 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 0 binary64))
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(*.f64 (/.f64 (*.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)) (/.f64 (atan2.f64 im re) (atan2.f64 im re)))
(*.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (*.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (atan2.f64 im re)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (*.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (atan2.f64 im re)) (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (*.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (*.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3/2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))) (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64))))
(*.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) (/.f64 (atan2.f64 im re) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64))))
(*.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(*.f64 (/.f64 (*.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))) (/.f64 (log.f64 base) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64))))
(*.f64 (/.f64 (*.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) (/.f64 (log.f64 base) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(*.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (atan2.f64 im re) (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(*.f64 (*.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (atan2.f64 im re)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (log.f64 base)) (*.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (*.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (log.f64 base))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (atan2.f64 im re))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (*.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 6 binary64))) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 4 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))) (*.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(*.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))) (/.f64 (atan2.f64 im re) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64))))

simplify661.0ms (6%)

Memory
12.2MiB live, 1 053.2MiB allocated
Algorithm
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
29851202
335261166
466821166
083171132
Stop Event
iter limit
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
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log 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) 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)
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+.f64 im (/.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) im))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+.f64 im (*.f64 (/.f64 (*.f64 re re) im) (+.f64 (/.f64 (*.f64 re (*.f64 re #s(literal -1/8 binary64))) (*.f64 im im)) #s(literal 1/2 binary64))))
(+ 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)))))
(+.f64 im (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 (*.f64 re re) (+.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/16 binary64)) (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 im (*.f64 im im))))))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(+.f64 re (/.f64 (*.f64 im (*.f64 im #s(literal 1/2 binary64))) re))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(+.f64 (/.f64 (*.f64 im (*.f64 im #s(literal 1/2 binary64))) re) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 im (*.f64 im #s(literal -1/8 binary64))) im) im) re) (*.f64 re (*.f64 re re))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(+.f64 (/.f64 (*.f64 im (*.f64 im #s(literal 1/2 binary64))) re) (*.f64 re (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 im (*.f64 im #s(literal -1/8 binary64))) im) im) re) (*.f64 re (*.f64 re re))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64)))))))
(* -1 re)
(-.f64 #s(literal 0 binary64) re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) re)
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) (*.f64 re (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) im) (/.f64 (*.f64 im (*.f64 im im)) (*.f64 re (*.f64 re (*.f64 re re))))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) im) (/.f64 (*.f64 im (*.f64 im im)) (*.f64 re (*.f64 re (*.f64 re re))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))))) re))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+.f64 re (/.f64 (*.f64 im (*.f64 im #s(literal 1/2 binary64))) re))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+.f64 re (*.f64 (/.f64 (*.f64 im im) re) (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 im (*.f64 im #s(literal -1/8 binary64))) re) 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)))))
(+.f64 re (*.f64 (*.f64 im im) (+.f64 (/.f64 #s(literal 1/2 binary64) re) (*.f64 (*.f64 im im) (+.f64 (/.f64 (*.f64 im (*.f64 im #s(literal 1/16 binary64))) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 re (*.f64 re re))))))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(+.f64 im (/.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) im))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(-.f64 (/.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) im) (*.f64 im (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 re (*.f64 re (*.f64 re re)))) (*.f64 im (*.f64 im (*.f64 im 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)))))))
(+.f64 (/.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) im) (*.f64 im (+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 re (*.f64 re (*.f64 re (*.f64 re #s(literal -1/8 binary64))))) (*.f64 im (*.f64 im im))) im)))))
(* -1 im)
(-.f64 #s(literal 0 binary64) im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(-.f64 (*.f64 (/.f64 (*.f64 re re) im) #s(literal -1/2 binary64)) im)
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(+.f64 (*.f64 (/.f64 (*.f64 re re) im) #s(literal -1/2 binary64)) (*.f64 im (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 re (*.f64 re (*.f64 re re)))) (*.f64 im (*.f64 im (*.f64 im im)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(+.f64 (*.f64 (/.f64 (*.f64 re re) im) #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 re (*.f64 re (*.f64 re re)))) (*.f64 im (*.f64 im (*.f64 im im)))) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))))) im))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (atan2.f64 im re) (log.f64 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))))
(* (+ (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))))
(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))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (atan2.f64 im re) (log.f64 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))))
(* (+ (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))))

eval279.0ms (2.5%)

Memory
44.4MiB live, 500.5MiB allocated
Compiler

Compiled 56 801 to 3 440 computations (93.9% saved)

prune284.0ms (2.6%)

Memory
-28.2MiB live, 692.6MiB allocated
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New1 714191 733
Fresh000
Picked101
Done000
Total1 715191 734
Accuracy
100.0%
Counts
1 734 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
87.2%
(/.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
99.5%
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))) (log.f64 base)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
99.1%
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
86.3%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) (*.f64 (atan2.f64 im re) (log.f64 base)))
99.1%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
99.4%
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.4%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
99.3%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))
99.2%
(/.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 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
99.4%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base)))
99.4%
(*.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 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 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))
Compiler

Compiled 580 to 374 computations (35.5% saved)

simplify269.0ms (2.4%)

Memory
11.5MiB live, 487.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
cost-diff256
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
cost-diff13184
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) (*.f64 (atan2.f64 im re) (log.f64 base)))
cost-diff0
(log.f64 base)
cost-diff0
(atan2.f64 im re)
cost-diff0
(*.f64 (atan2.f64 im re) (log.f64 base))
cost-diff12992
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
cost-diff0
(log.f64 base)
cost-diff0
(pow.f64 (log.f64 base) #s(literal -2 binary64))
cost-diff128
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
cost-diff12864
(*.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-diff128
(*.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
8 840×*-lowering-*.f32
8 840×*-lowering-*.f64
3 450×cube-prod
2 260×pow-lowering-pow.f64
2 260×pow-lowering-pow.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021131
147123
291123
3242123
41083123
51392123
61941123
73183123
83671123
93952123
104218123
114521123
124851123
136759123
147710123
08231123
Stop Event
iter limit
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
(/ (* (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)) (/ 1 (atan2 im re)))) (* (atan2 im re) (log base)))
(/ 1 (* (/ 1 (atan2 im re)) (/ 1 (atan2 im re))))
1
(* (/ 1 (atan2 im re)) (/ 1 (atan2 im re)))
(/ 1 (atan2 im re))
(atan2 im re)
im
re
(* (atan2 im re) (log base))
(log base)
base
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
(/ (* (atan2 im re) (log base)) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (atan2 im re) (log base))
(*.f64 (atan2.f64 im re) (log.f64 base))
(atan2 im re)
(atan2.f64 im re)
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)) (/ 1 (atan2 im re)))) (* (atan2 im re) (log base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ 1 (* (/ 1 (atan2 im re)) (/ 1 (atan2 im re))))
(*.f64 (atan2.f64 im re) (atan2.f64 im re))
1
#s(literal 1 binary64)
(* (/ 1 (atan2 im re)) (/ 1 (atan2 im re)))
(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (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
(* (atan2 im re) (log base))
(*.f64 (atan2.f64 im re) (log.f64 base))
(log base)
(log.f64 base)
base

localize163.0ms (1.5%)

Memory
5.6MiB live, 164.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
accuracy99.4%
(*.f64 (atan2.f64 im re) (log.f64 base))
accuracy98.7%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
accuracy87.8%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) (*.f64 (atan2.f64 im re) (log.f64 base)))
accuracy100.0%
(log.f64 base)
accuracy99.4%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy99.4%
(*.f64 (atan2.f64 im re) (log.f64 base))
accuracy99.3%
(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy100.0%
(log.f64 base)
accuracy99.5%
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base))
accuracy99.5%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
accuracy99.2%
(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))
accuracy99.5%
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
accuracy100.0%
(atan2.f64 im re)
accuracy100.0%
(log.f64 base)
accuracy99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
Samples
91.0ms256×0valid
Compiler

Compiled 162 to 23 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-div: 32.0ms (63.8% of total)
ival-mult: 6.0ms (12% of total)
ival-log: 3.0ms (6% of total)
ival-pow: 3.0ms (6% of total)
ival-atan2: 2.0ms (4% of total)
ival-pow2: 2.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
-21.4MiB live, 28.0MiB allocated
Counts
15 → 372
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 (/ (* (atan2 im re) (log base)) (pow (log base) 2))>
#<alt (* (atan2 im re) (log base))>
#<alt (/ (/ 1 (* (/ 1 (atan2 im re)) (/ 1 (atan2 im re)))) (* (atan2 im re) (log base)))>
#<alt (/ 1 (* (/ 1 (atan2 im re)) (/ 1 (atan2 im re))))>
#<alt (* (/ 1 (atan2 im re)) (/ 1 (atan2 im re)))>
#<alt (/ 1 (atan2 im re))>
#<alt (pow (log base) 2)>
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 (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (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) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (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 (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (/ 1 (pow (atan2 im re) 2))>
#<alt (/ 1 (pow (atan2 im re) 2))>
#<alt (/ 1 (pow (atan2 im re) 2))>
#<alt (/ 1 (pow (atan2 im re) 2))>
#<alt (/ 1 (pow (atan2 im re) 2))>
#<alt (/ 1 (pow (atan2 im re) 2))>
#<alt (/ 1 (pow (atan2 im re) 2))>
#<alt (/ 1 (pow (atan2 im re) 2))>
#<alt (/ 1 (pow (atan2 im re) 2))>
#<alt (/ 1 (pow (atan2 im re) 2))>
#<alt (/ 1 (pow (atan2 im re) 2))>
#<alt (/ 1 (pow (atan2 im re) 2))>
#<alt (/ 1 (pow (atan2 im re) 2))>
#<alt (/ 1 (pow (atan2 im re) 2))>
#<alt (/ 1 (pow (atan2 im re) 2))>
#<alt (/ 1 (pow (atan2 im re) 2))>
#<alt (/ 1 (pow (atan2 im re) 2))>
#<alt (/ 1 (pow (atan2 im re) 2))>
#<alt (/ 1 (pow (atan2 im re) 2))>
#<alt (/ 1 (pow (atan2 im re) 2))>
#<alt (/ 1 (pow (atan2 im re) 2))>
#<alt (/ 1 (pow (atan2 im re) 2))>
#<alt (/ 1 (pow (atan2 im re) 2))>
#<alt (/ 1 (pow (atan2 im re) 2))>
#<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 (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)>
Calls

93 calls:

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

rewrite188.0ms (1.7%)

Memory
29.7MiB live, 382.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 492×*-lowering-*.f32
1 492×*-lowering-*.f64
1 120×/-lowering-/.f32
1 120×/-lowering-/.f64
1 112×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02178
19372
248572
0317872
Stop Event
iter limit
iter limit
node limit
Counts
15 → 1 232
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)
(/ (* (atan2 im re) (log base)) (pow (log base) 2))
(* (atan2 im re) (log base))
(/ (/ 1 (* (/ 1 (atan2 im re)) (/ 1 (atan2 im re)))) (* (atan2 im re) (log base)))
(/ 1 (* (/ 1 (atan2 im re)) (/ 1 (atan2 im re))))
(* (/ 1 (atan2 im re)) (/ 1 (atan2 im re)))
(/ 1 (atan2 im re))
(pow (log base) 2)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 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 (log.f64 base) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))) (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (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) (-.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))))
(neg.f64 (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)))))
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (log.f64 base)) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (log.f64 base) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 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 -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(/.f64 (/.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (/.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (*.f64 (/.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (*.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (*.f64 (/.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (log.f64 base)))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))))
(/.f64 (-.f64 #s(literal 0 binary64) (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 -1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))) (/.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)))
(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
(/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))) (log.f64 base)))
(/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (*.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)))))
(/.f64 (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))) #s(literal -1 binary64))
(/.f64 (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (atan2.f64 im re)))
(/.f64 (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))) (*.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (log.f64 base)) (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (/.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (/.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 base))) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (*.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
(/.f64 (*.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (atan2.f64 im re)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))))
(/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 base))) (*.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))) (log.f64 base)) (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 base))) (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(/.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)))
(/.f64 (*.f64 (/.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) (log.f64 base)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base)))
(/.f64 (*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (log.f64 base))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (log.f64 base) (/.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))) (*.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))) (log.f64 base)) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
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(exp.f64 (*.f64 (log.f64 (atan2.f64 im re)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #s(literal -2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (log.f64 (atan2.f64 im re)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) (/.f64 #s(literal -1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))))
(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))) #s(literal -1/2 binary64))
(*.f64 (atan2.f64 im re) (atan2.f64 im re))
(*.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (/.f64 (atan2.f64 im re) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 im re)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (log.f64 (atan2.f64 im re)))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (log.f64 (atan2.f64 im re))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (atan2.f64 im re))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(pow.f64 (atan2.f64 im re) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (atan2.f64 im re)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (atan2.f64 im re)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(neg.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (/.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
(/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))))
(/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (atan2.f64 im re)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(/.f64 (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(/.f64 (*.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(pow.f64 (atan2.f64 im re) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (atan2.f64 im re) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)))
(*.f64 (log.f64 base) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal 1 binary64))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))))
(*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (atan2.f64 im re)))
(*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))
(*.f64 (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (log.f64 base)) (log.f64 (log.f64 base))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 base))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))

simplify222.0ms (2%)

Memory
-15.1MiB live, 353.6MiB allocated
Algorithm
egg-herbie
Rules
2 112×accelerator-lowering-fma.f32
2 112×accelerator-lowering-fma.f64
864×*-lowering-*.f32
864×*-lowering-*.f64
456×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0362280
1582236
21042236
32252236
45152236
510642236
616742236
724952236
829772236
930722236
1031252236
1131352236
1231352236
1331422236
031422236
Stop Event
iter limit
saturated
Counts
372 → 372
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))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 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))
(/ 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)))))
(/ (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))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 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) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 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)))))
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(/ 1 (pow (atan2 im re) 2))
(/ 1 (pow (atan2 im re) 2))
(/ 1 (pow (atan2 im re) 2))
(/ 1 (pow (atan2 im re) 2))
(/ 1 (pow (atan2 im re) 2))
(/ 1 (pow (atan2 im re) 2))
(/ 1 (pow (atan2 im re) 2))
(/ 1 (pow (atan2 im re) 2))
(/ 1 (pow (atan2 im re) 2))
(/ 1 (pow (atan2 im re) 2))
(/ 1 (pow (atan2 im re) 2))
(/ 1 (pow (atan2 im re) 2))
(/ 1 (pow (atan2 im re) 2))
(/ 1 (pow (atan2 im re) 2))
(/ 1 (pow (atan2 im re) 2))
(/ 1 (pow (atan2 im re) 2))
(/ 1 (pow (atan2 im re) 2))
(/ 1 (pow (atan2 im re) 2))
(/ 1 (pow (atan2 im re) 2))
(/ 1 (pow (atan2 im re) 2))
(/ 1 (pow (atan2 im re) 2))
(/ 1 (pow (atan2 im re) 2))
(/ 1 (pow (atan2 im re) 2))
(/ 1 (pow (atan2 im re) 2))
(/ 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))
(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)
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))
(/.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))))
(/ 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 (pow (atan2 im re) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/ 1 (pow (atan2 im re) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/ 1 (pow (atan2 im re) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/ 1 (pow (atan2 im re) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/ 1 (pow (atan2 im re) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/ 1 (pow (atan2 im re) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/ 1 (pow (atan2 im re) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/ 1 (pow (atan2 im re) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/ 1 (pow (atan2 im re) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/ 1 (pow (atan2 im re) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/ 1 (pow (atan2 im re) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/ 1 (pow (atan2 im re) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/ 1 (pow (atan2 im re) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/ 1 (pow (atan2 im re) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/ 1 (pow (atan2 im re) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/ 1 (pow (atan2 im re) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/ 1 (pow (atan2 im re) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/ 1 (pow (atan2 im re) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/ 1 (pow (atan2 im re) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(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))

eval565.0ms (5.1%)

Memory
-108.2MiB live, 833.6MiB allocated
Compiler

Compiled 44 249 to 3 075 computations (93.1% saved)

prune221.0ms (2%)

Memory
-7.4MiB live, 595.4MiB allocated
Pruning

22 alts after pruning (18 fresh and 4 done)

PrunedKeptTotal
New2 639142 653
Fresh10414
Picked145
Done000
Total2 650222 672
Accuracy
100.0%
Counts
2 672 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.7%
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base)))
48.0%
(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
99.5%
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base))))
99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
47.7%
(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
87.6%
(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
87.2%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)))
99.5%
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
99.1%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
99.4%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
99.0%
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
54.1%
(/.f64 (exp.f64 (log.f64 (atan2.f64 im re))) (log.f64 base))
99.2%
(/.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))))
48.0%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (atan2.f64 im re))
99.4%
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
47.6%
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
99.2%
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
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))
99.2%
(*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (log.f64 base)) (log.f64 base)) (atan2.f64 im re))
41.2%
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
Compiler

Compiled 538 to 362 computations (32.7% saved)

simplify260.0ms (2.4%)

Memory
12.0MiB live, 321.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(atan2.f64 im re)
cost-diff0
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
cost-diff0
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
cost-diff13056
(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
cost-diff0
(log.f64 base)
cost-diff0
(pow.f64 (log.f64 base) #s(literal -1/2 binary64))
cost-diff128
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (atan2.f64 im re))
cost-diff12800
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff0
(log.f64 (log.f64 base))
cost-diff0
(atan2.f64 im re)
cost-diff0
(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
cost-diff12800
(exp.f64 (log.f64 (log.f64 base)))
cost-diff0
(atan2.f64 im re)
cost-diff0
(log.f64 base)
cost-diff0
(/.f64 (log.f64 base) (atan2.f64 im re))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
cost-diff0
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))
cost-diff0
(atan2.f64 im re)
cost-diff0
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base))))
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base))
Rules
5 814×*-lowering-*.f32
5 814×*-lowering-*.f64
2 792×accelerator-lowering-fma.f32
2 792×accelerator-lowering-fma.f64
1 450×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023113
137111
273111
3147111
4492111
51786111
63151111
74233111
84849111
95323111
106020111
117602111
08043111
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (atan2 im re) (log (/ 1 (/ 1 base))))
(atan2 im re)
im
re
(log (/ 1 (/ 1 base)))
(/ 1 (/ 1 base))
1
(/ 1 base)
base
(/ 1 (/ (log base) (atan2 im re)))
1
(/ (log base) (atan2 im re))
(log base)
base
(atan2 im re)
im
re
(/ (atan2 im re) (exp (log (log base))))
(atan2 im re)
im
re
(exp (log (log base)))
(log (log base))
(log base)
base
(* (pow (pow (log base) -1/2) 2) (atan2 im re))
(pow (pow (log base) -1/2) 2)
(pow (log base) -1/2)
(log base)
base
-1/2
2
(atan2 im re)
im
re
(/ (/ (pow (atan2 im re) 2) (log base)) (atan2 im re))
(/ (pow (atan2 im re) 2) (log base))
(pow (atan2 im re) 2)
(atan2 im re)
im
re
2
(log base)
base
Outputs
(/ (atan2 im re) (log (/ 1 (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2 im re)
(atan2.f64 im re)
im
re
(log (/ 1 (/ 1 base)))
(log.f64 base)
(/ 1 (/ 1 base))
base
1
#s(literal 1 binary64)
(/ 1 base)
(/.f64 #s(literal 1 binary64) base)
base
(/ 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
(/ (atan2 im re) (exp (log (log base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2 im re)
(atan2.f64 im re)
im
re
(exp (log (log base)))
(log.f64 base)
(log (log base))
(log.f64 (log.f64 base))
(log base)
(log.f64 base)
base
(* (pow (pow (log base) -1/2) 2) (atan2 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow (pow (log base) -1/2) 2)
(/.f64 #s(literal 1 binary64) (log.f64 base))
(pow (log base) -1/2)
(pow.f64 (log.f64 base) #s(literal -1/2 binary64))
(log base)
(log.f64 base)
base
-1/2
#s(literal -1/2 binary64)
2
#s(literal 2 binary64)
(atan2 im re)
(atan2.f64 im re)
im
re
(/ (/ (pow (atan2 im re) 2) (log base)) (atan2 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(atan2 im re)
(atan2.f64 im re)
im
re
2
#s(literal 2 binary64)
(log base)
(log.f64 base)
base

localize96.0ms (0.9%)

Memory
-5.4MiB live, 196.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 base)
accuracy99.9%
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
accuracy99.8%
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
accuracy93.2%
(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
accuracy100.0%
(log.f64 base)
accuracy99.9%
(pow.f64 (log.f64 base) #s(literal -1/2 binary64))
accuracy99.8%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (atan2.f64 im re))
accuracy99.6%
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy100.0%
(log.f64 base)
accuracy100.0%
(log.f64 (log.f64 base))
accuracy99.8%
(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
accuracy99.2%
(exp.f64 (log.f64 (log.f64 base)))
accuracy100.0%
(atan2.f64 im re)
accuracy100.0%
(log.f64 base)
accuracy99.8%
(/.f64 (log.f64 base) (atan2.f64 im re))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) base)
accuracy100.0%
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base))
accuracy99.8%
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base))))
Samples
31.0ms124×0valid
28.0ms132×0invalid
Compiler

Compiled 143 to 25 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-div: 12.0ms (32.3% of total)
ival-log: 8.0ms (21.5% of total)
ival-exp: 7.0ms (18.8% of total)
ival-pow2: 4.0ms (10.8% of total)
ival-atan2: 2.0ms (5.4% of total)
ival-pow: 2.0ms (5.4% of total)
ival-mult: 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)

series85.0ms (0.8%)

Memory
11.7MiB live, 127.5MiB allocated
Counts
17 → 396
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 base))>
#<alt (/ (atan2 im re) (log (/ 1 (/ 1 base))))>
#<alt (atan2 im re)>
#<alt (log (/ 1 (/ 1 base)))>
#<alt (/ 1 (/ (log base) (atan2 im re)))>
#<alt (/ (log base) (atan2 im re))>
#<alt (log base)>
#<alt (exp (log (log base)))>
#<alt (/ (atan2 im re) (exp (log (log base))))>
#<alt (log (log base))>
#<alt (pow (pow (log base) -1/2) 2)>
#<alt (* (pow (pow (log base) -1/2) 2) (atan2 im re))>
#<alt (pow (log base) -1/2)>
#<alt (/ (/ (pow (atan2 im re) 2) (log base)) (atan2 im re))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (pow (atan2 im re) 2)>
#<alt (/ 1 base)>
Outputs
#<alt base>
#<alt base>
#<alt base>
#<alt base>
#<alt base>
#<alt base>
#<alt base>
#<alt base>
#<alt base>
#<alt base>
#<alt base>
#<alt base>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (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 (* -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 (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 (log (log base))>
#<alt (log (log base))>
#<alt (log (log base))>
#<alt (log (log base))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (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 (sqrt (/ 1 (log base)))>
#<alt (sqrt (/ 1 (log base)))>
#<alt (sqrt (/ 1 (log base)))>
#<alt (sqrt (/ 1 (log base)))>
#<alt (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))>
#<alt (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (sqrt (/ 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 (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (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 (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (/ (pow (atan2 im re) 2) (log base))>
#<alt (* -1 (/ (pow (atan2 im re) 2) (log (/ 1 base))))>
#<alt (* -1 (/ (pow (atan2 im re) 2) (log (/ 1 base))))>
#<alt (* -1 (/ (pow (atan2 im re) 2) (log (/ 1 base))))>
#<alt (* -1 (/ (pow (atan2 im re) 2) (log (/ 1 base))))>
#<alt (/ (pow (atan2 im re) 2) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (pow (atan2 im re) 2) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (pow (atan2 im re) 2) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (pow (atan2 im re) 2) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (/ 1 base)>
#<alt (/ 1 base)>
#<alt (/ 1 base)>
#<alt (/ 1 base)>
#<alt (/ 1 base)>
#<alt (/ 1 base)>
#<alt (/ 1 base)>
#<alt (/ 1 base)>
#<alt (/ 1 base)>
#<alt (/ 1 base)>
#<alt (/ 1 base)>
#<alt (/ 1 base)>
Calls

99 calls:

TimeVariablePointExpression
34.0ms
base
@0
(log (log base))
18.0ms
base
@inf
(log (log base))
16.0ms
base
@-inf
(log (log base))
4.0ms
base
@inf
(* (pow (pow (log base) -1/2) 2) (atan2 im re))
1.0ms
base
@inf
(pow (log base) -1/2)

rewrite281.0ms (2.6%)

Memory
-36.5MiB live, 407.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 712×/-lowering-/.f32
1 712×/-lowering-/.f64
1 706×*-lowering-*.f32
1 706×*-lowering-*.f64
1 604×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02371
110271
243071
3254571
0885871
Stop Event
iter limit
node limit
Counts
17 → 1 780
Calls
Call 1
Inputs
(/ 1 (/ 1 base))
(/ (atan2 im re) (log (/ 1 (/ 1 base))))
(atan2 im re)
(log (/ 1 (/ 1 base)))
(/ 1 (/ (log base) (atan2 im re)))
(/ (log base) (atan2 im re))
(log base)
(exp (log (log base)))
(/ (atan2 im re) (exp (log (log base))))
(log (log base))
(pow (pow (log base) -1/2) 2)
(* (pow (pow (log base) -1/2) 2) (atan2 im re))
(pow (log base) -1/2)
(/ (/ (pow (atan2 im re) 2) (log base)) (atan2 im re))
(/ (pow (atan2 im re) 2) (log base))
(pow (atan2 im re) 2)
(/ 1 base)
Outputs
base
(exp.f64 (log.f64 base))
(exp.f64 (*.f64 (*.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 base base)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) base))
(neg.f64 (-.f64 #s(literal 0 binary64) base))
(/.f64 #s(literal 1 binary64) base)
(/.f64 base #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) base))
(/.f64 (-.f64 #s(literal 0 binary64) base) #s(literal -1 binary64))
(/.f64 (sqrt.f64 base) (sqrt.f64 base))
(/.f64 (neg.f64 (sqrt.f64 base)) (neg.f64 (sqrt.f64 base)))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) base))))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) base))) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 (exp.f64 (+.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64)))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) base))))
(/.f64 (exp.f64 (/.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1 binary64))) (exp.f64 (/.f64 (log.f64 (-.f64 #s(literal 0 binary64) base)) #s(literal 1 binary64))))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) (log.f64 base))) base)
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) base)
(pow.f64 base #s(literal 1 binary64))
(pow.f64 base #s(literal -1 binary64))
(pow.f64 (sqrt.f64 base) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 base) #s(literal -2 binary64))
(pow.f64 (*.f64 base base) #s(literal -1/2 binary64))
(pow.f64 (*.f64 base base) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 base))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 base))
(pow.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 #s(literal 1 binary64) base)
(*.f64 base #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) base))
(*.f64 (-.f64 #s(literal 0 binary64) base) #s(literal -1 binary64))
(*.f64 (sqrt.f64 base) (sqrt.f64 base))
(*.f64 (sqrt.f64 base) (/.f64 (sqrt.f64 base) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) base))))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64)))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (atan2.f64 im re))) (log.f64 (log.f64 base))) (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
(exp.f64 (+.f64 (+.f64 (log.f64 (atan2.f64 im re)) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
(exp.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (*.f64 #s(literal 2 binary64) (log.f64 (atan2.f64 im re)))) (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (/.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (atan2.f64 im re))) (log.f64 (log.f64 base)))))
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(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (atan2.f64 im re)))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(*.f64 (atan2.f64 im re) (atan2.f64 im re))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)))
base
(exp.f64 (log.f64 base))
(exp.f64 (*.f64 (*.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 base base)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) base))
(neg.f64 (-.f64 #s(literal 0 binary64) base))
(/.f64 #s(literal 1 binary64) base)
(/.f64 base #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) base))
(/.f64 (-.f64 #s(literal 0 binary64) base) #s(literal -1 binary64))
(/.f64 (sqrt.f64 base) (sqrt.f64 base))
(/.f64 (neg.f64 (sqrt.f64 base)) (neg.f64 (sqrt.f64 base)))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) base))))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) base))) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 (exp.f64 (+.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64)))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) base))))
(/.f64 (exp.f64 (/.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1 binary64))) (exp.f64 (/.f64 (log.f64 (-.f64 #s(literal 0 binary64) base)) #s(literal 1 binary64))))
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) (log.f64 base))) base)
(/.f64 (exp.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) base)
(pow.f64 base #s(literal 1 binary64))
(pow.f64 base #s(literal -1 binary64))
(pow.f64 (sqrt.f64 base) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 base) #s(literal -2 binary64))
(pow.f64 (*.f64 base base) #s(literal -1/2 binary64))
(pow.f64 (*.f64 base base) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 base))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 base))
(pow.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 #s(literal 1 binary64) base)
(*.f64 base #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) base))
(*.f64 (-.f64 #s(literal 0 binary64) base) #s(literal -1 binary64))
(*.f64 (sqrt.f64 base) (sqrt.f64 base))
(*.f64 (sqrt.f64 base) (/.f64 (sqrt.f64 base) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) base))))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64)))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) base))))

simplify107.0ms (1%)

Memory
-2.6MiB live, 153.4MiB allocated
Algorithm
egg-herbie
Rules
536×accelerator-lowering-fma.f32
536×accelerator-lowering-fma.f64
444×*-lowering-*.f32
444×*-lowering-*.f64
400×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0412368
1622316
2952312
32212312
46722312
515192312
619402312
724332312
824942312
925132312
1025142312
025142312
Stop Event
iter limit
saturated
Counts
396 → 396
Calls
Call 1
Inputs
base
base
base
base
base
base
base
base
base
base
base
base
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 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))))
(/ (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))))
(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 (log base))
(log (log base))
(log (log base))
(log (log base))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 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)))))
(/ (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))
(sqrt (/ 1 (log base)))
(sqrt (/ 1 (log base)))
(sqrt (/ 1 (log base)))
(sqrt (/ 1 (log base)))
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 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)))))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(/ (pow (atan2 im re) 2) (log base))
(* -1 (/ (pow (atan2 im re) 2) (log (/ 1 base))))
(* -1 (/ (pow (atan2 im re) 2) (log (/ 1 base))))
(* -1 (/ (pow (atan2 im re) 2) (log (/ 1 base))))
(* -1 (/ (pow (atan2 im re) 2) (log (/ 1 base))))
(/ (pow (atan2 im re) 2) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (pow (atan2 im re) 2) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (pow (atan2 im re) 2) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (pow (atan2 im re) 2) (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(/ 1 base)
(/ 1 base)
(/ 1 base)
(/ 1 base)
(/ 1 base)
(/ 1 base)
(/ 1 base)
(/ 1 base)
(/ 1 base)
(/ 1 base)
(/ 1 base)
(/ 1 base)
Outputs
base
base
base
base
base
base
base
base
base
base
base
base
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (-.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))
(sqrt (/ 1 (log base)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))
(sqrt (/ 1 (log base)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))
(sqrt (/ 1 (log base)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))
(sqrt (/ 1 (log base)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))) (sqrt.f64 #s(literal -1 binary64)))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64)))))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64)))))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64)))))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt.f64 (/.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))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im 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))))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (log base))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(* -1 (/ (pow (atan2 im re) 2) (log (/ 1 base))))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(* -1 (/ (pow (atan2 im re) 2) (log (/ 1 base))))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(* -1 (/ (pow (atan2 im re) 2) (log (/ 1 base))))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(* -1 (/ (pow (atan2 im re) 2) (log (/ 1 base))))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base))
(/ (pow (atan2 im re) 2) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (pow (atan2 im re) 2) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (pow (atan2 im re) 2) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (pow (atan2 im re) 2) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(/ 1 base)
(/.f64 #s(literal 1 binary64) base)
(/ 1 base)
(/.f64 #s(literal 1 binary64) base)
(/ 1 base)
(/.f64 #s(literal 1 binary64) base)
(/ 1 base)
(/.f64 #s(literal 1 binary64) base)
(/ 1 base)
(/.f64 #s(literal 1 binary64) base)
(/ 1 base)
(/.f64 #s(literal 1 binary64) base)
(/ 1 base)
(/.f64 #s(literal 1 binary64) base)
(/ 1 base)
(/.f64 #s(literal 1 binary64) base)
(/ 1 base)
(/.f64 #s(literal 1 binary64) base)
(/ 1 base)
(/.f64 #s(literal 1 binary64) base)
(/ 1 base)
(/.f64 #s(literal 1 binary64) base)
(/ 1 base)
(/.f64 #s(literal 1 binary64) base)

eval373.0ms (3.4%)

Memory
58.1MiB live, 613.3MiB allocated
Compiler

Compiled 41 759 to 3 617 computations (91.3% saved)

prune309.0ms (2.8%)

Memory
5.3MiB live, 482.3MiB allocated
Pruning

24 alts after pruning (16 fresh and 8 done)

PrunedKeptTotal
New2 80562 811
Fresh31013
Picked055
Done134
Total2 809242 833
Accuracy
100.0%
Counts
2 833 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.7%
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
46.1%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
87.7%
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base)))
47.8%
(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal -4 binary64)))
48.0%
(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
99.5%
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base))))
99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
47.7%
(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
87.6%
(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
87.2%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)))
99.5%
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
99.1%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
99.4%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
99.0%
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
54.1%
(/.f64 (exp.f64 (log.f64 (atan2.f64 im re))) (log.f64 base))
99.2%
(/.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))))
47.5%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/8 binary64)) #s(literal 8 binary64)) (atan2.f64 im re))
48.0%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (atan2.f64 im re))
99.4%
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
47.6%
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
99.2%
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
99.3%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
45.3%
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
Compiler

Compiled 525 to 363 computations (30.9% saved)

simplify359.0ms (3.3%)

Memory
2.8MiB live, 528.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (atan2.f64 im re) (log.f64 base))
cost-diff0
(atan2.f64 im re)
cost-diff0
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
cost-diff13056
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base)))
cost-diff0
(pow.f64 (log.f64 base) #s(literal -1/4 binary64))
cost-diff0
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal -4 binary64))
cost-diff0
(atan2.f64 im re)
cost-diff0
(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal -4 binary64)))
cost-diff0
(log.f64 (log.f64 base))
cost-diff0
(atan2.f64 im re)
cost-diff128
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
cost-diff12800
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
cost-diff0
(atan2.f64 im re)
cost-diff0
(/.f64 (atan2.f64 im re) (log.f64 base))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
cost-diff0
(atan2.f64 im re)
cost-diff0
(*.f64 (atan2.f64 im re) (log.f64 base))
cost-diff0
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
cost-diff13056
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
Rules
6 788×accelerator-lowering-fma.f32
6 788×accelerator-lowering-fma.f64
5 498×*-lowering-*.f32
5 498×*-lowering-*.f64
1 704×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024200
144145
277131
3128131
4581131
5895131
61516131
72547131
84774131
96682131
08013131
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (/ (* (atan2 im re) (log base)) (log base)) (log base))
(/ (* (atan2 im re) (log base)) (log base))
(* (atan2 im re) (log base))
(atan2 im re)
im
re
(log base)
base
(/ 1 (/ 1 (/ (atan2 im re) (log base))))
1
(/ 1 (/ (atan2 im re) (log base)))
(/ (atan2 im re) (log base))
(atan2 im re)
im
re
(log base)
base
(* (atan2 im re) (exp (neg (log (log base)))))
(atan2 im re)
im
re
(exp (neg (log (log base))))
(neg (log (log base)))
(log (log base))
(log base)
base
(/ (atan2 im re) (pow (pow (log base) -1/4) -4))
(atan2 im re)
im
re
(pow (pow (log base) -1/4) -4)
(pow (log base) -1/4)
(log base)
base
-1/4
-4
(/ (pow (atan2 im re) 2) (* (atan2 im re) (log base)))
(pow (atan2 im re) 2)
(atan2 im re)
im
re
2
(* (atan2 im re) (log base))
(log base)
base
Outputs
(/ (/ (* (atan2 im re) (log base)) (log base)) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (* (atan2 im re) (log base)) (log base))
(atan2.f64 im re)
(* (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
(/ 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))
(/ (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) (exp (neg (log (log base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2 im re)
(atan2.f64 im re)
im
re
(exp (neg (log (log base))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(neg (log (log base)))
(log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))
(log (log base))
(log.f64 (log.f64 base))
(log base)
(log.f64 base)
base
(/ (atan2 im re) (pow (pow (log base) -1/4) -4))
(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal -4 binary64)))
(atan2 im re)
(atan2.f64 im re)
im
re
(pow (pow (log base) -1/4) -4)
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal -4 binary64))
(pow (log base) -1/4)
(pow.f64 (log.f64 base) #s(literal -1/4 binary64))
(log base)
(log.f64 base)
base
-1/4
#s(literal -1/4 binary64)
-4
#s(literal -4 binary64)
(/ (pow (atan2 im re) 2) (* (atan2 im re) (log base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(atan2 im re)
(atan2.f64 im re)
im
re
2
#s(literal 2 binary64)
(* (atan2 im re) (log base))
(*.f64 (atan2.f64 im re) (log.f64 base))
(log base)
(log.f64 base)
base

localize124.0ms (1.1%)

Memory
-3.0MiB live, 197.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 base)
accuracy99.9%
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
accuracy99.7%
(*.f64 (atan2.f64 im re) (log.f64 base))
accuracy93.2%
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base)))
accuracy100.0%
(log.f64 base)
accuracy99.9%
(pow.f64 (log.f64 base) #s(literal -1/4 binary64))
accuracy99.8%
(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal -4 binary64)))
accuracy99.4%
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal -4 binary64))
accuracy100.0%
(log.f64 base)
accuracy100.0%
(log.f64 (log.f64 base))
accuracy99.8%
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
accuracy99.0%
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
accuracy100.0%
(log.f64 base)
accuracy99.8%
(/.f64 (atan2.f64 im re) (log.f64 base))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
accuracy100.0%
(log.f64 base)
accuracy99.8%
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
accuracy99.7%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
accuracy99.7%
(*.f64 (atan2.f64 im re) (log.f64 base))
Samples
38.0ms124×0valid
30.0ms132×0invalid
Compiler

Compiled 161 to 26 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-div: 21.0ms (43.2% of total)
ival-pow: 8.0ms (16.4% of total)
ival-mult: 6.0ms (12.3% of total)
ival-log: 5.0ms (10.3% of total)
ival-exp: 2.0ms (4.1% of total)
ival-atan2: 2.0ms (4.1% of total)
ival-pow2: 2.0ms (4.1% of total)
ival-neg: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series150.0ms (1.4%)

Memory
10.1MiB live, 271.1MiB allocated
Counts
16 → 432
Calls
Call 1
Inputs
#<alt (/ (* (atan2 im re) (log base)) (log base))>
#<alt (/ (/ (* (atan2 im re) (log base)) (log base)) (log base))>
#<alt (* (atan2 im re) (log base))>
#<alt (atan2 im re)>
#<alt (/ 1 (/ 1 (/ (atan2 im re) (log base))))>
#<alt (/ 1 (/ (atan2 im re) (log base)))>
#<alt (/ (atan2 im re) (log base))>
#<alt (exp (neg (log (log base))))>
#<alt (* (atan2 im re) (exp (neg (log (log base)))))>
#<alt (log (log base))>
#<alt (/ (atan2 im re) (pow (pow (log base) -1/4) -4))>
#<alt (pow (pow (log base) -1/4) -4)>
#<alt (pow (log base) -1/4)>
#<alt (/ (pow (atan2 im re) 2) (* (atan2 im re) (log base)))>
#<alt (pow (atan2 im re) 2)>
#<alt (log base)>
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 (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (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) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (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 (exp (neg (log (log base))))>
#<alt (exp (neg (log (log base))))>
#<alt (exp (neg (log (log base))))>
#<alt (exp (neg (log (log base))))>
#<alt (exp (neg (log (* -1 (log (/ 1 base))))))>
#<alt (exp (neg (log (* -1 (log (/ 1 base))))))>
#<alt (exp (neg (log (* -1 (log (/ 1 base))))))>
#<alt (exp (neg (log (* -1 (log (/ 1 base))))))>
#<alt (exp (neg (log (+ (log -1) (* -1 (log (/ -1 base)))))))>
#<alt (exp (neg (log (+ (log -1) (* -1 (log (/ -1 base)))))))>
#<alt (exp (neg (log (+ (log -1) (* -1 (log (/ -1 base)))))))>
#<alt (exp (neg (log (+ (log -1) (* -1 (log (/ -1 base)))))))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (log base)))) (atan2 im re))>
#<alt (* (exp (neg (log (* -1 (log (/ 1 base)))))) (atan2 im re))>
#<alt (* (exp (neg (log (* -1 (log (/ 1 base)))))) (atan2 im re))>
#<alt (* (exp (neg (log (* -1 (log (/ 1 base)))))) (atan2 im re))>
#<alt (* (exp (neg (log (* -1 (log (/ 1 base)))))) (atan2 im re))>
#<alt (* (exp (neg (log (+ (log -1) (* -1 (log (/ -1 base))))))) (atan2 im re))>
#<alt (* (exp (neg (log (+ (log -1) (* -1 (log (/ -1 base))))))) (atan2 im re))>
#<alt (* (exp (neg (log (+ (log -1) (* -1 (log (/ -1 base))))))) (atan2 im re))>
#<alt (* (exp (neg (log (+ (log -1) (* -1 (log (/ -1 base))))))) (atan2 im re))>
#<alt (log (log base))>
#<alt (log (log base))>
#<alt (log (log base))>
#<alt (log (log base))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (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 (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 (pow (/ 1 (log base)) 1/4)>
#<alt (pow (/ 1 (log base)) 1/4)>
#<alt (pow (/ 1 (log base)) 1/4)>
#<alt (pow (/ 1 (log base)) 1/4)>
#<alt (pow (/ -1 (log (/ 1 base))) 1/4)>
#<alt (pow (/ -1 (log (/ 1 base))) 1/4)>
#<alt (pow (/ -1 (log (/ 1 base))) 1/4)>
#<alt (pow (/ -1 (log (/ 1 base))) 1/4)>
#<alt (pow (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))) 1/4)>
#<alt (pow (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))) 1/4)>
#<alt (pow (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))) 1/4)>
#<alt (pow (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))) 1/4)>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (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 (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<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))))>
Calls

108 calls:

TimeVariablePointExpression
73.0ms
base
@-inf
(pow (log base) -1/4)
20.0ms
base
@inf
(pow (log base) -1/4)
17.0ms
base
@-inf
(exp (neg (log (log base))))
15.0ms
base
@0
(pow (log base) -1/4)
7.0ms
im
@0
(* (atan2 im re) (exp (neg (log (log base)))))

rewrite384.0ms (3.5%)

Memory
-42.6MiB live, 624.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 564×accelerator-lowering-fma.f32
3 564×accelerator-lowering-fma.f64
2 468×*-lowering-*.f32
2 468×*-lowering-*.f64
1 544×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024129
110878
247874
3283674
0853074
Stop Event
iter limit
node limit
Counts
16 → 1 706
Calls
Call 1
Inputs
(/ (* (atan2 im re) (log base)) (log base))
(/ (/ (* (atan2 im re) (log base)) (log base)) (log base))
(* (atan2 im re) (log base))
(atan2 im re)
(/ 1 (/ 1 (/ (atan2 im re) (log base))))
(/ 1 (/ (atan2 im re) (log base)))
(/ (atan2 im re) (log base))
(exp (neg (log (log base))))
(* (atan2 im re) (exp (neg (log (log base)))))
(log (log base))
(/ (atan2 im re) (pow (pow (log base) -1/4) -4))
(pow (pow (log base) -1/4) -4)
(pow (log base) -1/4)
(/ (pow (atan2 im re) 2) (* (atan2 im re) (log base)))
(pow (atan2 im re) 2)
(log base)
Outputs
(exp.f64 (log.f64 (atan2.f64 im re)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (atan2.f64 im re))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 im re)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(sqrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) #s(literal 1 binary64))
(/.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (atan2.f64 im re))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (/.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))) (sqrt.f64 (log.f64 base))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3/2 binary64)) (sqrt.f64 (atan2.f64 im re)))
(/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (/.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))
(/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) base))) (*.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) #s(literal -1 binary64)) (atan2.f64 im re))
(pow.f64 (atan2.f64 im re) #s(literal 1 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 (atan2.f64 im re)) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) #s(literal 1 binary64))
(*.f64 (atan2.f64 im re) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 #s(literal 1 binary64) (atan2.f64 im re))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))))
(*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (/.f64 (log.f64 base) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (*.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (atan2.f64 im re) (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))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 1 binary64)))
(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 base)))))
(*.f64 (/.f64 (atan2.f64 im re) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (atan2.f64 im re)))
(*.f64 (/.f64 (atan2.f64 im re) #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))
(*.f64 (/.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 base)))) (/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 base)))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 base)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 base)))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 base))) (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 base)))))
(*.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 base)))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re)))
(*.f64 (*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (*.f64 (log.f64 base) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(atan2.f64 im re)
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (atan2.f64 im re))) (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (atan2.f64 im re))) (log.f64 (log.f64 base)))))
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(*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (*.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
(*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 1 binary64)))
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(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (sqrt.f64 (log.f64 base))))
(*.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 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
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(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
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(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
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(*.f64 (/.f64 (atan2.f64 im re) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (*.f64 (atan2.f64 im re) (log.f64 base))))
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(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (atan2.f64 im re))))
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(exp.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 (atan2.f64 im re)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) #s(literal -2 binary64))
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(pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 4 binary64))
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(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) #s(literal -1 binary64))
(*.f64 (atan2.f64 im re) (atan2.f64 im re))
(*.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3/2 binary64)) (sqrt.f64 (atan2.f64 im re)))
(log.f64 base)
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))
(exp.f64 (log.f64 (log.f64 base)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1/8 binary64)) #s(literal -8 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -4 binary64))) (*.f64 (log.f64 (log.f64 base)) #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base))) #s(literal -1/2 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) (log.f64 (log.f64 base))))
(exp.f64 (-.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (atan2.f64 im re))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (log.f64 (log.f64 base)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) (log.f64 (log.f64 base)))))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
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(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/8 binary64)) #s(literal -8 binary64))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/16 binary64)) #s(literal -16 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 base))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (log.f64 (log.f64 base)) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 (log.f64 (log.f64 base)) #s(literal -1/4 binary64)))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (log.f64 (log.f64 base)) #s(literal -4 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -4 binary64)) (neg.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1/4 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 (log.f64 base)) #s(literal -1/4 binary64))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (*.f64 (log.f64 (log.f64 base)) #s(literal -1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64)))) (pow.f64 (log.f64 (log.f64 base)) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 (log.f64 base))))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1/4 binary64)))) #s(literal -4 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) (log.f64 (log.f64 base))) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) #s(literal -1/4 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (log.f64 base)) #s(literal -1/8 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) #s(literal -1/8 binary64)) (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (exp.f64 (*.f64 #s(literal -4 binary64) (log.f64 (log.f64 base)))) #s(literal -1/4 binary64))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 base) #s(literal 1 binary64))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(*.f64 #s(literal 1 binary64) (log.f64 base))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (log.f64 base)) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) (pow.f64 (log.f64 base) #s(literal 3/4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 base))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3/4 binary64)) (pow.f64 (log.f64 base) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 (log.f64 (log.f64 base)) #s(literal -1/8 binary64))) (pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 (log.f64 (log.f64 base)) #s(literal -1/8 binary64))))

simplify118.0ms (1.1%)

Memory
6.9MiB live, 243.2MiB allocated
Algorithm
egg-herbie
Rules
640×accelerator-lowering-fma.f32
640×accelerator-lowering-fma.f64
480×*-lowering-*.f32
480×*-lowering-*.f64
240×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0482556
1852492
21392492
32532492
45722492
58762492
613872492
715222492
815292492
915322492
1015332492
015332492
Stop Event
iter limit
saturated
Counts
432 → 432
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))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 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) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 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)))))
(exp (neg (log (log base))))
(exp (neg (log (log base))))
(exp (neg (log (log base))))
(exp (neg (log (log base))))
(exp (neg (log (* -1 (log (/ 1 base))))))
(exp (neg (log (* -1 (log (/ 1 base))))))
(exp (neg (log (* -1 (log (/ 1 base))))))
(exp (neg (log (* -1 (log (/ 1 base))))))
(exp (neg (log (+ (log -1) (* -1 (log (/ -1 base)))))))
(exp (neg (log (+ (log -1) (* -1 (log (/ -1 base)))))))
(exp (neg (log (+ (log -1) (* -1 (log (/ -1 base)))))))
(exp (neg (log (+ (log -1) (* -1 (log (/ -1 base)))))))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (log base)))) (atan2 im re))
(* (exp (neg (log (* -1 (log (/ 1 base)))))) (atan2 im re))
(* (exp (neg (log (* -1 (log (/ 1 base)))))) (atan2 im re))
(* (exp (neg (log (* -1 (log (/ 1 base)))))) (atan2 im re))
(* (exp (neg (log (* -1 (log (/ 1 base)))))) (atan2 im re))
(* (exp (neg (log (+ (log -1) (* -1 (log (/ -1 base))))))) (atan2 im re))
(* (exp (neg (log (+ (log -1) (* -1 (log (/ -1 base))))))) (atan2 im re))
(* (exp (neg (log (+ (log -1) (* -1 (log (/ -1 base))))))) (atan2 im re))
(* (exp (neg (log (+ (log -1) (* -1 (log (/ -1 base))))))) (atan2 im re))
(log (log base))
(log (log base))
(log (log base))
(log (log base))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 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)
(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 (/ 1 (log base)) 1/4)
(pow (/ 1 (log base)) 1/4)
(pow (/ 1 (log base)) 1/4)
(pow (/ 1 (log base)) 1/4)
(pow (/ -1 (log (/ 1 base))) 1/4)
(pow (/ -1 (log (/ 1 base))) 1/4)
(pow (/ -1 (log (/ 1 base))) 1/4)
(pow (/ -1 (log (/ 1 base))) 1/4)
(pow (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))) 1/4)
(pow (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))) 1/4)
(pow (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))) 1/4)
(pow (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))) 1/4)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 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)))))
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(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))))
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)))))
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(* (exp (neg (log (log base)))) (atan2 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (exp (neg (log (log base)))) (atan2 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (exp (neg (log (log base)))) (atan2 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (exp (neg (log (* -1 (log (/ 1 base)))))) (atan2 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (exp (neg (log (* -1 (log (/ 1 base)))))) (atan2 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (exp (neg (log (* -1 (log (/ 1 base)))))) (atan2 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (exp (neg (log (* -1 (log (/ 1 base)))))) (atan2 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (exp (neg (log (+ (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))))
(* (exp (neg (log (+ (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))))
(* (exp (neg (log (+ (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))))
(* (exp (neg (log (+ (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 (log base))
(log.f64 (log.f64 base))
(log (log base))
(log.f64 (log.f64 base))
(log (log base))
(log.f64 (log.f64 base))
(log (log base))
(log.f64 (log.f64 base))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im 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)
(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 (/ 1 (log base)) 1/4)
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1/4 binary64))
(pow (/ 1 (log base)) 1/4)
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1/4 binary64))
(pow (/ 1 (log base)) 1/4)
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1/4 binary64))
(pow (/ 1 (log base)) 1/4)
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1/4 binary64))
(pow (/ -1 (log (/ 1 base))) 1/4)
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1/4 binary64))
(pow (/ -1 (log (/ 1 base))) 1/4)
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1/4 binary64))
(pow (/ -1 (log (/ 1 base))) 1/4)
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1/4 binary64))
(pow (/ -1 (log (/ 1 base))) 1/4)
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1/4 binary64))
(pow (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))) 1/4)
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64))
(pow (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))) 1/4)
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64))
(pow (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))) 1/4)
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64))
(pow (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))) 1/4)
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) (log.f64 #s(literal -1 binary64)))) #s(literal 1/4 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))))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(pow (atan2 im re) 2)
(pow.f64 (atan2.f64 im re) #s(literal 2 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)))

eval463.0ms (4.2%)

Memory
51.1MiB live, 825.5MiB allocated
Compiler

Compiled 49 802 to 4 357 computations (91.3% saved)

prune450.0ms (4.1%)

Memory
-11.0MiB live, 789.3MiB allocated
Pruning

23 alts after pruning (12 fresh and 11 done)

PrunedKeptTotal
New3 26633 269
Fresh2911
Picked145
Done178
Total3 270233 293
Accuracy
100.0%
Counts
3 293 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.7%
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
42.0%
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64))
54.4%
(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base))
47.8%
(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal -4 binary64)))
48.0%
(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
99.5%
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))))
99.5%
(/.f64 (atan2.f64 im re) (log.f64 base))
47.7%
(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
87.6%
(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
87.2%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)))
99.5%
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
99.1%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
99.4%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
54.1%
(/.f64 (exp.f64 (log.f64 (atan2.f64 im re))) (log.f64 base))
99.2%
(/.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))))
47.5%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/8 binary64)) #s(literal 8 binary64)) (atan2.f64 im re))
48.0%
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (atan2.f64 im re))
99.4%
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
47.6%
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
99.2%
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
99.3%
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
45.3%
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
Compiler

Compiled 793 to 341 computations (57% saved)

regimes94.0ms (0.9%)

Memory
0.2MiB live, 117.4MiB allocated
Counts
43 → 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 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (exp.f64 (log.f64 (atan2.f64 im re))) (log.f64 base))
(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(*.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 -1/8 binary64)) #s(literal 8 binary64)) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal -4 binary64)))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) #s(literal -2 binary64)))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))) (log.f64 base)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (log.f64 base)) (log.f64 base)) (atan2.f64 im re))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(/.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Outputs
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))))
Calls

5 calls:

31.0ms
(log.f64 base)
24.0ms
im
14.0ms
base
11.0ms
re
11.0ms
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Results
AccuracySegmentsBranch
99.5%1re
99.5%1im
99.5%1base
99.5%1(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.5%1(log.f64 base)
Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes7.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Accuracy

Total -0.4b remaining (-124.1%)

Threshold costs -0.4b (-124.1%)

Counts
3 → 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)))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
Calls

4 calls:

2.0ms
im
2.0ms
(log.f64 base)
2.0ms
base
2.0ms
re
Results
AccuracySegmentsBranch
99.5%1re
99.5%1im
99.5%1base
99.5%1(log.f64 base)
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify27.0ms (0.2%)

Memory
-25.2MiB live, 13.6MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11915
22515
33015
43315
53415
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
Outputs
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) base))))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (log.f64 (/.f64 #s(literal 1 binary64) base)))
(/.f64 (atan2.f64 im re) (log.f64 base))

soundness448.0ms (4.1%)

Memory
-49.1MiB live, 434.6MiB allocated
Rules
5 482×accelerator-lowering-fma.f32
5 482×accelerator-lowering-fma.f64
4 232×*-lowering-*.f32
4 232×*-lowering-*.f64
3 564×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02371
110271
243071
3254571
0885871
024129
110878
247874
3283674
0853074
02178
19372
248572
0317872
01842
19236
270631
3702331
0846626
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 75 to 52 computations (30.7% saved)

preprocess48.0ms (0.4%)

Memory
23.7MiB live, 61.5MiB allocated
Compiler

Compiled 100 to 60 computations (40% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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