Metrics for math.log/2 on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze133.0ms (1.5%)

Memory

15.3MiB live, 245.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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
34.4%	17.2%	32.8%	0.1%	0%	49.9%	0%	7
42.2%	21.1%	28.9%	0.1%	0%	49.9%	0%	8
46.1%	23%	26.9%	0.1%	0%	49.9%	0%	9
69.1%	34.5%	15.4%	0.1%	0%	49.9%	0%	10
72.1%	36%	13.9%	0.1%	0%	49.9%	0%	11
73.5%	36.7%	13.2%	0.1%	0%	49.9%	0%	12

Compiler

Compiled 30 to 17 computations (43.3% saved)

sample1.9s (21.2%)

Memory

43.1MiB live, 2 850.9MiB allocated

Samples

1.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-log: 380.0ms (32% of total)

ival-mult: 322.0ms (27.1% of total)

ival-hypot: 193.0ms (16.3% of total)

ival-atan2: 91.0ms (7.7% of total)

ival-add: 73.0ms (6.1% of total)

ival-div: 70.0ms (5.9% of total)

ival-sub: 44.0ms (3.7% of total)

ival-true: 6.0ms (0.5% of total)

exact: 5.0ms (0.4% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain294.0ms (3.2%)

Memory

25.6MiB live, 803.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
132	-	1	(1.6883276826975982e-155 1.9433993967199346e-208 4.343389803482682e+298)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
2	-	2	(1.5766238666022507e+151 -3.4576149147783834e-163 2.5443168946289953e-195)	`(*.f64 (atan2.f64 im re) (log.f64 base))`
0	-	0	-	`(log.f64 base)`
0	-	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))))`
0	-	0	-	`(*.f64 re re)`
0	-	0	-	`(atan2.f64 im re)`
0	-	0	-	`im`
0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	0	-	`re`
0	-	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)))`
0	-	0	-	`(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))`
0	-	0	-	`#s(literal 0 binary64)`
0	-	0	-	`(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))`
0	-	0	-	`(*.f64 (log.f64 base) (log.f64 base))`
0	-	0	-	`(*.f64 im im)`
0	-	0	-	`base`
0	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	oflow-rescue	118	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	118
↳	`(*.f64 re re)`	overflow	68
↳	`(*.f64 im im)`	overflow	66

Confusion

	Predicted +	Predicted -
+	118	13
-	0	125

Precision

1.0

Recall

0.9007633587786259

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	118	0	13
-	0	0	125

Precision?

1.0

Recall?

0.9007633587786259

Freqs

test

number	freq
0	138
1	118

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

91.0ms

512×

valid

Compiler

Compiled 389 to 76 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-log: 22.0ms (32.7% of total)

ival-mult: 20.0ms (29.7% of total)

ival-hypot: 9.0ms (13.4% of total)

ival-add: 5.0ms (7.4% of total)

ival-atan2: 5.0ms (7.4% of total)

ival-div: 3.0ms (4.5% of total)

ival-sub: 2.0ms (3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess221.0ms (2.4%)

Memory

6.6MiB live, 324.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	139
1	205	121
2	438	78
3	851	63
4	1417	63
5	2461	63
6	3273	63
7	3944	63
8	6097	63
9	7919	63
0	18	26
0	34	14
1	53	12
2	76	8
3	95	6
4	113	6
5	184	6
6	398	6
7	1265	6
8	1939	6
9	2420	6
10	2992	6
11	3887	6
12	4668	6
13	5681	6
14	6840	6
15	7178	6
16	7385	6
17	7580	6
18	7787	6
0	8595	6

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs

(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Outputs

(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

(/.f64 (atan2.f64 im re) (log.f64 base))

Compiler

Compiled 28 to 18 computations (35.7% saved)

eval0.0ms (0%)

Memory: 0.9MiB live, 0.9MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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))))

Status

Accuracy

Program

▶

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 28 to 18 computations (35.7% saved)

simplify183.0ms (2%)

Memory

-39.5MiB live, 181.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	192	(-.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-diff	320	(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
cost-diff	13184	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
cost-diff	13440	(/.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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	113
0	34	77
1	53	75
2	76	71
3	95	69
4	113	69
5	184	69
6	398	69
7	1265	69
8	1939	69
9	2420	69
10	2992	69
11	3887	69
12	4668	69
13	5681	69
14	6840	69
15	7178	69
16	7385	69
17	7580	69
18	7787	69
0	8595	58

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(*.f64 re re)
(*.f64 im im)
#s(literal 0 binary64)
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))

Outputs
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
#s(literal 0 binary64)
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
(log.f64 (hypot.f64 re im))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(hypot.f64 re im)
(+.f64 (.f64 re re) (.f64 im im))
(fma.f64 re re (*.f64 im im))
(*.f64 re re)
(*.f64 im im)
#s(literal 0 binary64)
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

localize71.0ms (0.8%)

Memory

16.8MiB live, 136.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.26171875	(/.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))))
accuracy	0.3792297435065324	(*.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.537441259768442	(*.f64 (log.f64 base) (log.f64 base))
accuracy	30.481914682494956	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

58.0ms

256×

valid

Compiler

Compiled 240 to 38 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-log: 16.0ms (39.4% of total)

ival-hypot: 9.0ms (22.2% of total)

ival-mult: 7.0ms (17.2% of total)

ival-atan2: 3.0ms (7.4% of total)

ival-div: 2.0ms (4.9% of total)

ival-add: 2.0ms (4.9% of total)

ival-sub: 1.0ms (2.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series122.0ms (1.3%)

Memory

-3.0MiB live, 229.8MiB allocated

Counts

7 → 168

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (patch (.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 base) (log.f64 base)) (patch (.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())
#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())

Outputs
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (.f64 (log.f64 base) (log.f64 base)) (patch (.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (.f64 (log.f64 base) (log.f64 base)) (patch (.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (.f64 (log.f64 base) (log.f64 base)) (patch (.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (.f64 (log.f64 base) (log.f64 base)) (patch (.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
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#s(alt (* (log base) (atan2 im re)) (taylor 0 im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor inf im) (#s(alt (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor inf im) (#s(alt (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor inf im) (#s(alt (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor inf im) (#s(alt (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf im) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf im) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf im) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf im) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor inf im) (#s(alt (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor inf im) (#s(alt (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor inf im) (#s(alt (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor inf im) (#s(alt (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt im (taylor inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) (taylor inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))) (taylor inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))) (taylor inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor -inf im) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor -inf im) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor -inf im) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor -inf im) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (patch (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 base)) (patch (.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	base	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))
24.0ms	base	@	-inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))
13.0ms	re	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))
11.0ms	base	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))
9.0ms	im	@	-inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (log (sqrt (+ (* re re) (* im im)))) 0) (* 0 0) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (atan2 im re) (log base)))

simplify193.0ms (2.1%)

Memory

14.6MiB live, 256.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	1220
1	313	1204
2	985	1202
3	3529	1166
4	6679	1166
0	8317	1132

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 164

Calls

Call 1

Inputs
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
0
0
0
0
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
0
0
0
0
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
0
0
0
0
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
0
0
0
0
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
0
0
0
0
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
0
0
0
0
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))

Outputs
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re re) im)
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(fma.f64 (*.f64 (/.f64 re im) #s(literal 1/2 binary64)) re (fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) re) (/.f64 re (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (.f64 re re) im))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(fma.f64 (*.f64 (/.f64 im re) #s(literal 1/2 binary64)) im re)
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(fma.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/8 binary64)) (/.f64 re (pow.f64 re #s(literal 4 binary64))) (fma.f64 (.f64 (/.f64 im re) #s(literal 1/2 binary64)) im re))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1 binary64))) re (.f64 (/.f64 (.f64 im im) re) #s(literal 1/2 binary64)))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* -1 re)
(neg.f64 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 im re)) im (neg.f64 re))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(fma.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/8 binary64) #s(literal -1 binary64)) re (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 im im) re)))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 im re)) im (.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/8 binary64) #s(literal -1 binary64))) re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(fma.f64 (*.f64 (/.f64 im re) #s(literal 1/2 binary64)) im re)
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(fma.f64 (*.f64 (/.f64 im re) #s(literal 1/2 binary64)) im (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 3 binary64))) re))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) im) (/.f64 im (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (.f64 im im) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 im im) re)
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re re) im)
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(fma.f64 (.f64 #s(literal -1/8 binary64) im) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (.f64 re re) im))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(fma.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64))) im (.f64 (/.f64 (.f64 re re) im) #s(literal 1/2 binary64)))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* -1 im)
(neg.f64 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 re re) im) (neg.f64 im))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(fma.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/8 binary64) #s(literal -1 binary64)) im (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 re re) im)))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 re im)) re (.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/8 binary64) #s(literal -1 binary64))) im))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))

rewrite191.0ms (2.1%)

Memory

3.8MiB live, 234.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	75
0	34	39
1	110	37
2	725	32
3	7038	32
0	8481	27

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

7 → 1 566

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64)))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (atan2.f64 im re) (log.f64 base))

Outputs
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eval481.0ms (5.3%)

Memory: -170.2MiB live, 471.1MiB allocated
Compiler: Compiled 56 241 to 3 448 computations (93.9% saved)

prune64.0ms (0.7%)

Memory

-1.0MiB live, 156.4MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	1 711	19	1 730
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 712	19	1 731

Accuracy

100.0%

Counts

1 731 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
▶	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
	99.0%	(/.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
	84.9%	(/.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 (log.f64 base) (atan2.f64 im re)))
▶	99.3%	(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))
	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
▶	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	98.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	98.9%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
	98.8%	(.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base))))
	99.0%	(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
	99.4%	(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
	85.0%	(.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	98.8%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
	98.8%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
▶	53.1%	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)))

Compiler

Compiled 476 to 390 computations (18.1% saved)

simplify323.0ms (3.6%)

Memory

-2.5MiB live, 227.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -1 binary64))
cost-diff	0	(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))
cost-diff	19904	(.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
cost-diff	0	(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
cost-diff	320	(.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))
cost-diff	12800	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -1 binary64))
cost-diff	7168	(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(log.f64 base)
cost-diff	0	(/.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
cost-diff	0	(log.f64 base)
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	20	165
0	35	135
1	54	130
2	89	130
3	161	130
4	411	130
5	1354	129
6	1817	129
7	1967	129
8	2101	129
9	2287	129
10	2528	129
11	2828	129
12	3184	129
13	3606	129
14	4095	129
15	4366	129
16	4592	129
17	4687	129
18	4787	129
19	4879	129
20	5434	129
21	6320	129
22	6461	129
23	6531	129
24	6601	129
25	6671	129
26	6763	129
27	7206	129
28	7340	129
29	7438	129
30	7530	129
31	7622	129
0	8167	129

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
#s(literal 1 binary64)
(/.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(log.f64 base)
base
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
#s(literal 1 binary64)
(atan2.f64 im re)
im
re
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)))
(.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
#s(literal 1 binary64)
(atan2.f64 im re)
im
re
(log.f64 base)
base
#s(literal -1 binary64)
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))
(.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(log.f64 base)
base
#s(literal -1 binary64)
(*.f64 (log.f64 base) (atan2.f64 im re))
(atan2.f64 im re)
im
re

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
#s(literal 1 binary64)
(/.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(log.f64 base)
base
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
#s(literal 1 binary64)
(atan2.f64 im re)
im
re
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))
(log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
#s(literal 1 binary64)
(atan2.f64 im re)
im
re
(log.f64 base)
base
#s(literal -1 binary64)
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
(atan2.f64 im re)
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(log.f64 base)
base
#s(literal -1 binary64)
(*.f64 (log.f64 base) (atan2.f64 im re))
(atan2.f64 im re)
im
re

localize83.0ms (0.9%)

Memory

-3.3MiB live, 183.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))
accuracy	0.1328125	(pow.f64 (log.f64 base) #s(literal -1 binary64))
accuracy	0.2265625	(.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
accuracy	0.24251099350653232	(*.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.053066259768442016	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
accuracy	0.1796875	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
accuracy	1.0976500661378534	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)))
accuracy	2.456491772267368	(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
accuracy	0	(log.f64 base)
accuracy	0.053066259768442016	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
accuracy	0.1328125	(pow.f64 (log.f64 base) #s(literal -1 binary64))
accuracy	0.4092519591001324	(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
accuracy	0	(atan2.f64 im re)
accuracy	0	(log.f64 base)
accuracy	0.125	(/.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.491753681626671	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
accuracy	0	(atan2.f64 im re)
accuracy	0	(log.f64 base)
accuracy	0.12109375	(/.f64 (atan2.f64 im re) (log.f64 base))

Samples

34.0ms	142×	0	valid
30.0ms	114×	0	invalid

Compiler

Compiled 332 to 42 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 17.0ms (39.9% of total)

ival-log: 9.0ms (21.1% of total)

ival-mult: 6.0ms (14.1% of total)

ival-pow: 4.0ms (9.4% of total)

ival-exp: 3.0ms (7% of total)

ival-atan2: 3.0ms (7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series326.0ms (3.6%)

Memory

25.6MiB live, 406.0MiB allocated

Counts

15 → 468

Calls

Call 1

Inputs
#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())
#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())
#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal -1 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #<representation binary64>) () ())
#s(alt (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (patch (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #<representation binary64>) () ())
#s(alt (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) (patch (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (patch (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) (patch (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 base) (atan2.f64 im re)) (patch (.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())

Outputs
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (log base)) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal -1 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (log base)) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal -1 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (log base)) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal -1 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (log base)) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal -1 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ (log base) (atan2 im re)))) (taylor 0 base) (#s(alt (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ (log base) (atan2 im re)))) (taylor 0 base) (#s(alt (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ (log base) (atan2 im re)))) (taylor 0 base) (#s(alt (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ (log base) (atan2 im re)))) (taylor 0 base) (#s(alt (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (patch (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (patch (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (patch (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (patch (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (log (/ (log base) (atan2 im re))) (taylor 0 base) (#s(alt (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) (patch (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (log (/ (log base) (atan2 im re))) (taylor 0 base) (#s(alt (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) (patch (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (log (/ (log base) (atan2 im re))) (taylor 0 base) (#s(alt (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) (patch (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (log (/ (log base) (atan2 im re))) (taylor 0 base) (#s(alt (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) (patch (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 base) (#s(alt (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (patch (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 base) (#s(alt (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (patch (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 base) (#s(alt (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (patch (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 base) (#s(alt (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (patch (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) (patch (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) (patch (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) (patch (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) (patch (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (.f64 (log.f64 base) (atan2.f64 im re)) (patch (.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (.f64 (log.f64 base) (atan2.f64 im re)) (patch (.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (.f64 (log.f64 base) (atan2.f64 im re)) (patch (.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor 0 base) (#s(alt (.f64 (log.f64 base) (atan2.f64 im re)) (patch (.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (atan2 im re) (log (/ 1 base)))) (taylor inf base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (atan2 im re) (log (/ 1 base)))) (taylor inf base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (atan2 im re) (log (/ 1 base)))) (taylor inf base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (atan2 im re) (log (/ 1 base)))) (taylor inf base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 base))) (taylor inf base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 base))) (taylor inf base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 base))) (taylor inf base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
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#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor -inf im) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor -inf im) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor -inf im) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor -inf im) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 im re)) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 im re)) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 im re)) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 im re)) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ (log base) (atan2 im re)))) (taylor -inf im) (#s(alt (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ (log base) (atan2 im re)))) (taylor -inf im) (#s(alt (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ (log base) (atan2 im re)))) (taylor -inf im) (#s(alt (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ (log base) (atan2 im re)))) (taylor -inf im) (#s(alt (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (patch (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (patch (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (patch (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (patch (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (log (/ (log base) (atan2 im re))) (taylor -inf im) (#s(alt (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) (patch (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (log (/ (log base) (atan2 im re))) (taylor -inf im) (#s(alt (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) (patch (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (log (/ (log base) (atan2 im re))) (taylor -inf im) (#s(alt (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) (patch (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (log (/ (log base) (atan2 im re))) (taylor -inf im) (#s(alt (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) (patch (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf im) (#s(alt (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (patch (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf im) (#s(alt (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (patch (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf im) (#s(alt (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (patch (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf im) (#s(alt (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (patch (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) (patch (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) (patch (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) (patch (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) (patch (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (log.f64 base) (atan2.f64 im re)) (patch (.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (log.f64 base) (atan2.f64 im re)) (patch (.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (log.f64 base) (atan2.f64 im re)) (patch (.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (log.f64 base) (atan2.f64 im re)) (patch (.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
76.0ms	im	@	inf	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (/ (pow (log base) -1) (/ 1 (atan2 im re))) (pow (log base) -1) (/ 1 (atan2 im re)) (exp (* (log (* (/ 1 (atan2 im re)) (log base))) -1)) (* (log (* (/ 1 (atan2 im re)) (log base))) -1) (* (/ 1 (atan2 im re)) (log base)) (log (* (/ 1 (atan2 im re)) (log base))) (* (pow (log base) -1) (* (log base) (atan2 im re))) (/ (* (pow (log base) -1) (* (log base) (atan2 im re))) (log base)) (* (log base) (atan2 im re)))
53.0ms	base	@	inf	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (/ (pow (log base) -1) (/ 1 (atan2 im re))) (pow (log base) -1) (/ 1 (atan2 im re)) (exp (* (log (* (/ 1 (atan2 im re)) (log base))) -1)) (* (log (* (/ 1 (atan2 im re)) (log base))) -1) (* (/ 1 (atan2 im re)) (log base)) (log (* (/ 1 (atan2 im re)) (log base))) (* (pow (log base) -1) (* (log base) (atan2 im re))) (/ (* (pow (log base) -1) (* (log base) (atan2 im re))) (log base)) (* (log base) (atan2 im re)))
41.0ms	base	@	0	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (/ (pow (log base) -1) (/ 1 (atan2 im re))) (pow (log base) -1) (/ 1 (atan2 im re)) (exp (* (log (* (/ 1 (atan2 im re)) (log base))) -1)) (* (log (* (/ 1 (atan2 im re)) (log base))) -1) (* (/ 1 (atan2 im re)) (log base)) (log (* (/ 1 (atan2 im re)) (log base))) (* (pow (log base) -1) (* (log base) (atan2 im re))) (/ (* (pow (log base) -1) (* (log base) (atan2 im re))) (log base)) (* (log base) (atan2 im re)))
28.0ms	base	@	-inf	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (/ (pow (log base) -1) (/ 1 (atan2 im re))) (pow (log base) -1) (/ 1 (atan2 im re)) (exp (* (log (* (/ 1 (atan2 im re)) (log base))) -1)) (* (log (* (/ 1 (atan2 im re)) (log base))) -1) (* (/ 1 (atan2 im re)) (log base)) (log (* (/ 1 (atan2 im re)) (log base))) (* (pow (log base) -1) (* (log base) (atan2 im re))) (/ (* (pow (log base) -1) (* (log base) (atan2 im re))) (log base)) (* (log base) (atan2 im re)))
26.0ms	re	@	-inf	((/ (atan2 im re) (log base)) (atan2 im re) (log base) (/ 1 (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)) (/ (pow (log base) -1) (/ 1 (atan2 im re))) (pow (log base) -1) (/ 1 (atan2 im re)) (exp (* (log (* (/ 1 (atan2 im re)) (log base))) -1)) (* (log (* (/ 1 (atan2 im re)) (log base))) -1) (* (/ 1 (atan2 im re)) (log base)) (log (* (/ 1 (atan2 im re)) (log base))) (* (pow (log base) -1) (* (log base) (atan2 im re))) (/ (* (pow (log base) -1) (* (log base) (atan2 im re))) (log base)) (* (log base) (atan2 im re)))

simplify65.0ms (0.7%)

Memory

-3.5MiB live, 78.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	2928
1	64	2880
2	101	2880
3	205	2880
4	469	2880
5	908	2880
6	1418	2880
7	1772	2880
8	1798	2880
9	1801	2880
10	1802	2880
0	1802	2880

Stop Event

1×	iter limit
1×	saturated

Counts

468 → 468

Calls

Call 1

Inputs
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(log base)
(log base)
(log base)
(log base)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (log (/ (log base) (atan2 im re))))
(* -1 (log (/ (log base) (atan2 im re))))
(* -1 (log (/ (log base) (atan2 im re))))
(* -1 (log (/ (log base) (atan2 im re))))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(log (/ (log base) (atan2 im re)))
(log (/ (log base) (atan2 im re)))
(log (/ (log base) (atan2 im re)))
(log (/ (log base) (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))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (log (* -1 (/ (log (/ 1 base)) (atan2 im re)))))
(* -1 (log (* -1 (/ (log (/ 1 base)) (atan2 im re)))))
(* -1 (log (* -1 (/ (log (/ 1 base)) (atan2 im re)))))
(* -1 (log (* -1 (/ (log (/ 1 base)) (atan2 im re)))))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(log (* -1 (/ (log (/ 1 base)) (atan2 im re))))
(log (* -1 (/ (log (/ 1 base)) (atan2 im re))))
(log (* -1 (/ (log (/ 1 base)) (atan2 im re))))
(log (* -1 (/ (log (/ 1 base)) (atan2 im re))))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
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(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(log (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(atan2 im re)
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(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
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(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
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(log (/ (log base) (atan2 im re)))
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(* (log base) (atan2 im re))

Outputs
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(log base)
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(/ (atan2 im re) (log base))
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(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (log base) (atan2 im re))
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(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ 1 (log base))
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(log (* -1 (/ (log (/ 1 base)) (atan2 im re))))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/ (log base) (atan2 im re))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
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(/ (atan2 im re) (log base))
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(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
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(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
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(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
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(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (log (/ (log base) (atan2 im re))))
(neg.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(* -1 (log (/ (log base) (atan2 im re))))
(neg.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(* -1 (log (/ (log base) (atan2 im re))))
(neg.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
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(neg.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
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(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log (/ (log base) (atan2 im re)))
(log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log (/ (log base) (atan2 im re)))
(log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log (/ (log base) (atan2 im re)))
(log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log (/ (log base) (atan2 im re)))
(log.f64 (/.f64 (log.f64 base) (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))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ 1 (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))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (log (/ (log base) (atan2 im re))))
(neg.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(* -1 (log (/ (log base) (atan2 im re))))
(neg.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(* -1 (log (/ (log base) (atan2 im re))))
(neg.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(* -1 (log (/ (log base) (atan2 im re))))
(neg.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log (/ (log base) (atan2 im re)))
(log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log (/ (log base) (atan2 im re)))
(log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log (/ (log base) (atan2 im re)))
(log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log (/ (log base) (atan2 im re)))
(log.f64 (/.f64 (log.f64 base) (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))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
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(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ 1 (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))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (log (/ (log base) (atan2 im re))))
(neg.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(* -1 (log (/ (log base) (atan2 im re))))
(neg.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(* -1 (log (/ (log base) (atan2 im re))))
(neg.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(* -1 (log (/ (log base) (atan2 im re))))
(neg.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log (/ (log base) (atan2 im re)))
(log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log (/ (log base) (atan2 im re)))
(log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log (/ (log base) (atan2 im re)))
(log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log (/ (log base) (atan2 im re)))
(log.f64 (/.f64 (log.f64 base) (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))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ 1 (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))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (log (/ (log base) (atan2 im re))))
(neg.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(* -1 (log (/ (log base) (atan2 im re))))
(neg.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(* -1 (log (/ (log base) (atan2 im re))))
(neg.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(* -1 (log (/ (log base) (atan2 im re))))
(neg.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log (/ (log base) (atan2 im re)))
(log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log (/ (log base) (atan2 im re)))
(log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log (/ (log base) (atan2 im re)))
(log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log (/ (log base) (atan2 im re)))
(log.f64 (/.f64 (log.f64 base) (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))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(* (log base) (atan2 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))

rewrite176.0ms (1.9%)

Memory

-4.4MiB live, 195.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	115
0	35	81
1	96	80
2	383	79
3	2192	79
0	8530	79

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

15 → 1 444

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
(log.f64 base)
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)))
(.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))

Outputs
#<batchref>
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eval385.0ms (4.2%)

Memory: 28.9MiB live, 603.9MiB allocated
Compiler: Compiled 43 727 to 4 477 computations (89.8% saved)

prune167.0ms (1.8%)

Memory

-6.7MiB live, 306.8MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	2 663	17	2 680
Fresh	8	6	14
Picked	3	2	5
Done	0	0	0
Total	2 674	25	2 699

Accuracy

100.0%

Counts

2 699 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.5%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	47.1%	(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base))
	49.7%	(/.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
▶	99.5%	(/.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))))
	99.3%	(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
	50.0%	(/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base))))
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	50.0%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	99.0%	(/.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
	98.9%	(/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	99.0%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	57.9%	(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64)))
	54.3%	(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)))
	98.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
✓	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	98.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	98.6%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
	99.0%	(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
	99.4%	(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
▶	99.4%	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
▶	46.0%	(*.f64 #s(literal -1 binary64) (exp.f64 (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))))
	57.3%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 534 to 474 computations (11.2% saved)

simplify25.0ms (0.3%)

Memory

-2.6MiB live, 33.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
cost-diff	0	(log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
cost-diff	448	(*.f64 #s(literal -1 binary64) (exp.f64 (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))))
cost-diff	12800	(exp.f64 (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))
cost-diff	0	(sqrt.f64 (log.f64 base))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))
cost-diff	8384	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))
cost-diff	0	(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
cost-diff	7104	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
cost-diff	0	(neg.f64 (atan2.f64 im re))
cost-diff	0	(log.f64 base)
cost-diff	0	(/.f64 #s(literal -1 binary64) (log.f64 base))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
cost-diff	0	(/.f64 #s(literal -1 binary64) (log.f64 base))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))))
cost-diff	1408	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	163
0	39	149
1	60	137
2	95	137
3	248	137
4	610	137
5	1001	137
6	1235	137
7	1282	137
8	1294	137
0	1294	137

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(atan2.f64 im re)
im
re
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (log.f64 base))
(log.f64 base)
base
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(/.f64 #s(literal -1 binary64) (log.f64 base))
#s(literal -1 binary64)
(log.f64 base)
base
(neg.f64 (atan2.f64 im re))
(atan2.f64 im re)
im
re
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
#s(literal 2 binary64)
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))
(atan2.f64 im re)
im
re
(sqrt.f64 (log.f64 base))
(log.f64 base)
base
(*.f64 #s(literal -1 binary64) (exp.f64 (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))))
#s(literal -1 binary64)
(exp.f64 (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))
(log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(neg.f64 (atan2.f64 im re))
(atan2.f64 im re)
im
re
(log.f64 base)
base

Outputs
(/.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(log.f64 base)
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (log.f64 base))
(log.f64 base)
base
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 #s(literal -1 binary64) (log.f64 base))
#s(literal -1 binary64)
(log.f64 base)
base
(neg.f64 (atan2.f64 im re))
(atan2.f64 im re)
im
re
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
#s(literal 2 binary64)
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))
(atan2.f64 im re)
im
re
(sqrt.f64 (log.f64 base))
(log.f64 base)
base
(*.f64 #s(literal -1 binary64) (exp.f64 (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
#s(literal -1 binary64)
(exp.f64 (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(neg.f64 (atan2.f64 im re))
(atan2.f64 im re)
im
re
(log.f64 base)
base

localize86.0ms (1%)

Memory

29.9MiB live, 177.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
accuracy	0	(neg.f64 (atan2.f64 im re))
accuracy	0	(log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
accuracy	0	(log.f64 base)
accuracy	0	(exp.f64 (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))
accuracy	0	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))
accuracy	0	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
accuracy	0	(sqrt.f64 (log.f64 base))
accuracy	0	(log.f64 base)
accuracy	0	(atan2.f64 im re)
accuracy	0	(/.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0	(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
accuracy	0	(log.f64 base)
accuracy	0	(/.f64 #s(literal -1 binary64) (log.f64 base))
accuracy	0	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
accuracy	0	(neg.f64 (atan2.f64 im re))
accuracy	0	(log.f64 base)
accuracy	0	(/.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))))
accuracy	0	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))
accuracy	0	(/.f64 #s(literal -1 binary64) (log.f64 base))
accuracy	0	(log.f64 base)

Samples

67.0ms

256×

invalid

Compiler

Compiled 328 to 46 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-log: 13.0ms (30.5% of total)

ival-div: 10.0ms (23.5% of total)

ival-mult: 5.0ms (11.7% of total)

ival-pow2: 5.0ms (11.7% of total)

ival-exp: 3.0ms (7% of total)

ival-atan2: 3.0ms (7% of total)

ival-sqrt: 3.0ms (7% of total)

ival-neg: 1.0ms (2.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series295.0ms (3.2%)

Memory

-39.2MiB live, 467.1MiB allocated

Counts

17 → 492

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))) #<representation binary64>) () ())
#s(alt (/.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))) (patch (/.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))) #<representation binary64>) () ())
#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (log.f64 base)) (patch (/.f64 #s(literal -1 binary64) (log.f64 base)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re))) (patch (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re))) #<representation binary64>) () ())
#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())
#s(alt (neg.f64 (atan2.f64 im re)) (patch (neg.f64 (atan2.f64 im re)) #<representation binary64>) () ())
#s(alt (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (patch (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #<representation binary64>) () ())
#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) (patch (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) #<representation binary64>) () ())
#s(alt (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (patch (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (log.f64 base)) (patch (sqrt.f64 (log.f64 base)) #<representation binary64>) () ())
#s(alt (exp.f64 (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))) (patch (exp.f64 (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1 binary64) (exp.f64 (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))) (patch (.f64 #s(literal -1 binary64) (exp.f64 (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))) (patch (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (patch (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) #<representation binary64>) () ())

Outputs
#s(alt (log base) (taylor 0 base) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))) (patch (/.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))) (patch (/.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (atan2 im re) (log base))) (taylor -inf im) (#s(alt (exp.f64 (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))) (patch (exp.f64 (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (atan2 im re) (log base))) (taylor -inf im) (#s(alt (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (patch (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) #<representation binary64>) () ())) ())
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Calls

9 calls:

Time	Variable		Point	Expression
51.0ms	base	@	0	((/ -1 (/ -1 (log base))) (/ (atan2 im re) (/ -1 (/ -1 (log base)))) (atan2 im re) (/ -1 (log base)) (* (/ -1 (log base)) (neg (atan2 im re))) (log base) (neg (atan2 im re)) (pow (sqrt (/ (atan2 im re) (log base))) 2) (sqrt (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (/ (/ (atan2 im re) (sqrt (log base))) (sqrt (log base))) (/ (atan2 im re) (sqrt (log base))) (sqrt (log base)) (exp (log (/ (neg (atan2 im re)) (log base)))) (* -1 (exp (log (/ (neg (atan2 im re)) (log base))))) (log (/ (neg (atan2 im re)) (log base))) (/ (neg (atan2 im re)) (log base)))
40.0ms	im	@	-inf	((/ -1 (/ -1 (log base))) (/ (atan2 im re) (/ -1 (/ -1 (log base)))) (atan2 im re) (/ -1 (log base)) (* (/ -1 (log base)) (neg (atan2 im re))) (log base) (neg (atan2 im re)) (pow (sqrt (/ (atan2 im re) (log base))) 2) (sqrt (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (/ (/ (atan2 im re) (sqrt (log base))) (sqrt (log base))) (/ (atan2 im re) (sqrt (log base))) (sqrt (log base)) (exp (log (/ (neg (atan2 im re)) (log base)))) (* -1 (exp (log (/ (neg (atan2 im re)) (log base))))) (log (/ (neg (atan2 im re)) (log base))) (/ (neg (atan2 im re)) (log base)))
32.0ms	base	@	inf	((/ -1 (/ -1 (log base))) (/ (atan2 im re) (/ -1 (/ -1 (log base)))) (atan2 im re) (/ -1 (log base)) (* (/ -1 (log base)) (neg (atan2 im re))) (log base) (neg (atan2 im re)) (pow (sqrt (/ (atan2 im re) (log base))) 2) (sqrt (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (/ (/ (atan2 im re) (sqrt (log base))) (sqrt (log base))) (/ (atan2 im re) (sqrt (log base))) (sqrt (log base)) (exp (log (/ (neg (atan2 im re)) (log base)))) (* -1 (exp (log (/ (neg (atan2 im re)) (log base))))) (log (/ (neg (atan2 im re)) (log base))) (/ (neg (atan2 im re)) (log base)))
30.0ms	base	@	-inf	((/ -1 (/ -1 (log base))) (/ (atan2 im re) (/ -1 (/ -1 (log base)))) (atan2 im re) (/ -1 (log base)) (* (/ -1 (log base)) (neg (atan2 im re))) (log base) (neg (atan2 im re)) (pow (sqrt (/ (atan2 im re) (log base))) 2) (sqrt (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (/ (/ (atan2 im re) (sqrt (log base))) (sqrt (log base))) (/ (atan2 im re) (sqrt (log base))) (sqrt (log base)) (exp (log (/ (neg (atan2 im re)) (log base)))) (* -1 (exp (log (/ (neg (atan2 im re)) (log base))))) (log (/ (neg (atan2 im re)) (log base))) (/ (neg (atan2 im re)) (log base)))
27.0ms	re	@	inf	((/ -1 (/ -1 (log base))) (/ (atan2 im re) (/ -1 (/ -1 (log base)))) (atan2 im re) (/ -1 (log base)) (* (/ -1 (log base)) (neg (atan2 im re))) (log base) (neg (atan2 im re)) (pow (sqrt (/ (atan2 im re) (log base))) 2) (sqrt (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base)) (/ (/ (atan2 im re) (sqrt (log base))) (sqrt (log base))) (/ (atan2 im re) (sqrt (log base))) (sqrt (log base)) (exp (log (/ (neg (atan2 im re)) (log base)))) (* -1 (exp (log (/ (neg (atan2 im re)) (log base))))) (log (/ (neg (atan2 im re)) (log base))) (/ (neg (atan2 im re)) (log base)))

simplify73.0ms (0.8%)

Memory

-11.0MiB live, 73.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	3372
1	73	3312
2	99	3308
3	186	3296
4	363	3296
5	724	3296
6	1181	3296
7	1490	3296
8	1523	3296
9	1631	3296
10	1737	3296
11	1880	3296
12	1884	3296
13	1890	3296
14	1892	3296
0	1892	3296

Stop Event

1×	iter limit
1×	saturated

Counts

492 → 492

Calls

Call 1

Inputs
(log base)
(log base)
(log base)
(log base)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ -1 (log base))
(/ -1 (log base))
(/ -1 (log base))
(/ -1 (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(log base)
(log base)
(log base)
(log base)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 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))) (atan2 im re))
(* (sqrt (/ 1 (log base))) (atan2 im re))
(* (sqrt (/ 1 (log base))) (atan2 im re))
(* (sqrt (/ 1 (log base))) (atan2 im re))
(sqrt (log base))
(sqrt (log base))
(sqrt (log base))
(sqrt (log base))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(log (* -1 (/ (atan2 im re) (log base))))
(log (* -1 (/ (atan2 im re) (log base))))
(log (* -1 (/ (atan2 im re) (log base))))
(log (* -1 (/ (atan2 im re) (log base))))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ 1 (log (/ 1 base)))
(/ 1 (log (/ 1 base)))
(/ 1 (log (/ 1 base)))
(/ 1 (log (/ 1 base)))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))
(* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))
(* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))
(* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* (sqrt (/ 1 (log (/ 1 base)))) (* (sqrt -1) (atan2 im re)))
(* (sqrt (/ 1 (log (/ 1 base)))) (* (sqrt -1) (atan2 im re)))
(* (sqrt (/ 1 (log (/ 1 base)))) (* (sqrt -1) (atan2 im re)))
(* (sqrt (/ 1 (log (/ 1 base)))) (* (sqrt -1) (atan2 im re)))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(/ (atan2 im re) (log (/ 1 base)))
(/ (atan2 im re) (log (/ 1 base)))
(/ (atan2 im re) (log (/ 1 base)))
(/ (atan2 im re) (log (/ 1 base)))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(log (/ (atan2 im re) (log (/ 1 base))))
(log (/ (atan2 im re) (log (/ 1 base))))
(log (/ (atan2 im re) (log (/ 1 base))))
(log (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (log (/ 1 base)))
(/ (atan2 im re) (log (/ 1 base)))
(/ (atan2 im re) (log (/ 1 base)))
(/ (atan2 im re) (log (/ 1 base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ -1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ -1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ -1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ -1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))) (atan2 im re))
(* (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))) (atan2 im re))
(* (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))) (atan2 im re))
(* (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))) (atan2 im re))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(* -1 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(* -1 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(* -1 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(* -1 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(log (* -1 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
(log (* -1 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
(log (* -1 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
(log (* -1 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
(* -1 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(* -1 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(* -1 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(* -1 (/ (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)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 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))) (atan2 im re))
(* (sqrt (/ 1 (log base))) (atan2 im re))
(* (sqrt (/ 1 (log base))) (atan2 im re))
(* (sqrt (/ 1 (log base))) (atan2 im re))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 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 (* -1 (/ (atan2 im re) (log base))))
(log (* -1 (/ (atan2 im re) (log base))))
(log (* -1 (/ (atan2 im re) (log base))))
(log (* -1 (/ (atan2 im re) (log base))))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 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))) (atan2 im re))
(* (sqrt (/ 1 (log base))) (atan2 im re))
(* (sqrt (/ 1 (log base))) (atan2 im re))
(* (sqrt (/ 1 (log base))) (atan2 im re))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 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 (* -1 (/ (atan2 im re) (log base))))
(log (* -1 (/ (atan2 im re) (log base))))
(log (* -1 (/ (atan2 im re) (log base))))
(log (* -1 (/ (atan2 im re) (log base))))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 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))) (atan2 im re))
(* (sqrt (/ 1 (log base))) (atan2 im re))
(* (sqrt (/ 1 (log base))) (atan2 im re))
(* (sqrt (/ 1 (log base))) (atan2 im re))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 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 (* -1 (/ (atan2 im re) (log base))))
(log (* -1 (/ (atan2 im re) (log base))))
(log (* -1 (/ (atan2 im re) (log base))))
(log (* -1 (/ (atan2 im re) (log base))))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 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))) (atan2 im re))
(* (sqrt (/ 1 (log base))) (atan2 im re))
(* (sqrt (/ 1 (log base))) (atan2 im re))
(* (sqrt (/ 1 (log base))) (atan2 im re))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 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 (* -1 (/ (atan2 im re) (log base))))
(log (* -1 (/ (atan2 im re) (log base))))
(log (* -1 (/ (atan2 im re) (log base))))
(log (* -1 (/ (atan2 im re) (log base))))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 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))) (atan2 im re))
(* (sqrt (/ 1 (log base))) (atan2 im re))
(* (sqrt (/ 1 (log base))) (atan2 im re))
(* (sqrt (/ 1 (log base))) (atan2 im re))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 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 (* -1 (/ (atan2 im re) (log base))))
(log (* -1 (/ (atan2 im re) (log base))))
(log (* -1 (/ (atan2 im re) (log base))))
(log (* -1 (/ (atan2 im re) (log base))))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(* -1 (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 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))) (atan2 im re))
(* (sqrt (/ 1 (log base))) (atan2 im re))
(* (sqrt (/ 1 (log base))) (atan2 im re))
(* (sqrt (/ 1 (log base))) (atan2 im re))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 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 (* -1 (/ (atan2 im re) (log base))))
(log (* -1 (/ (atan2 im re) (log base))))
(log (* -1 (/ (atan2 im re) (log base))))
(log (* -1 (/ (atan2 im re) (log base))))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))
(* -1 (/ (atan2 im re) (log base)))

Outputs
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ -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))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt (/ (atan2 im re) (log base)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im 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))) (atan2 im re))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re))
(* (sqrt (/ 1 (log base))) (atan2 im re))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re))
(* (sqrt (/ 1 (log base))) (atan2 im re))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re))
(* (sqrt (/ 1 (log base))) (atan2 im re))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re))
(sqrt (log base))
(sqrt.f64 (log.f64 base))
(sqrt (log base))
(sqrt.f64 (log.f64 base))
(sqrt (log base))
(sqrt.f64 (log.f64 base))
(sqrt (log base))
(sqrt.f64 (log.f64 base))
(* -1 (/ (atan2 im re) (log base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(* -1 (/ (atan2 im re) (log base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(* -1 (/ (atan2 im re) (log base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(* -1 (/ (atan2 im re) (log base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log (* -1 (/ (atan2 im re) (log base))))
(log.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(log (* -1 (/ (atan2 im re) (log base))))
(log.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(log (* -1 (/ (atan2 im re) (log base))))
(log.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(log (* -1 (/ (atan2 im re) (log base))))
(log.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(* -1 (/ (atan2 im re) (log base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(* -1 (/ (atan2 im re) (log base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(* -1 (/ (atan2 im re) (log base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(* -1 (/ (atan2 im re) (log base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ 1 (log (/ 1 base)))
(/.f64 #s(literal -1 binary64) (log.f64 base))
(/ 1 (log (/ 1 base)))
(/.f64 #s(literal -1 binary64) (log.f64 base))
(/ 1 (log (/ 1 base)))
(/.f64 #s(literal -1 binary64) (log.f64 base))
(/ 1 (log (/ 1 base)))
(/.f64 #s(literal -1 binary64) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* (sqrt (/ 1 (log (/ 1 base)))) (* (sqrt -1) (atan2 im re)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (atan2.f64 im re)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))
(* (sqrt (/ 1 (log (/ 1 base)))) (* (sqrt -1) (atan2 im re)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (atan2.f64 im re)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))
(* (sqrt (/ 1 (log (/ 1 base)))) (* (sqrt -1) (atan2 im re)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (atan2.f64 im re)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))
(* (sqrt (/ 1 (log (/ 1 base)))) (* (sqrt -1) (atan2 im re)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (atan2.f64 im re)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 base))))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 #s(literal -1 binary64)))
(/ (atan2 im re) (log (/ 1 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/ (atan2 im re) (log (/ 1 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/ (atan2 im re) (log (/ 1 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/ (atan2 im re) (log (/ 1 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log (/ (atan2 im re) (log (/ 1 base))))
(log.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(log (/ (atan2 im re) (log (/ 1 base))))
(log.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(log (/ (atan2 im re) (log (/ 1 base))))
(log.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(log (/ (atan2 im re) (log (/ 1 base))))
(log.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/ (atan2 im re) (log (/ 1 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/ (atan2 im re) (log (/ 1 base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
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(log (* -1 (/ (atan2 im re) (log base))))
(log.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(* -1 (/ (atan2 im re) (log base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(* -1 (/ (atan2 im re) (log base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(* -1 (/ (atan2 im re) (log base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(* -1 (/ (atan2 im re) (log base)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))

rewrite147.0ms (1.6%)

Memory

27.8MiB live, 103.3MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	116
0	39	103
1	114	87
2	483	87
3	3374	86
0	8928	86

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

17 → 1 888

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(atan2.f64 im re)
(/.f64 #s(literal -1 binary64) (log.f64 base))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(log.f64 base)
(neg.f64 (atan2.f64 im re))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))
(sqrt.f64 (log.f64 base))
(exp.f64 (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))
(*.f64 #s(literal -1 binary64) (exp.f64 (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))))
(log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))

Outputs
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eval517.0ms (5.7%)

Memory: 40.1MiB live, 683.9MiB allocated
Compiler: Compiled 47 653 to 4 651 computations (90.2% saved)

prune211.0ms (2.3%)

Memory

-25.0MiB live, 270.9MiB allocated

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	3 179	7	3 186
Fresh	5	13	18
Picked	2	3	5
Done	0	2	2
Total	3 186	25	3 211

Accuracy

100.0%

Counts

3 211 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.5%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
	54.4%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64))
	85.8%	(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
	47.1%	(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base))
	49.7%	(/.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	50.0%	(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
	54.3%	(/.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
✓	99.5%	(/.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))))
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	50.0%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	99.0%	(/.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
	98.9%	(/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	99.0%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	99.3%	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
▶	57.9%	(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64)))
	98.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
✓	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	98.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	98.6%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.4%	(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
✓	99.4%	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	54.3%	(.f64 #s(literal -1 binary64) (.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
▶	54.6%	(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)))

Compiler

Compiled 492 to 444 computations (9.8% saved)

simplify232.0ms (2.6%)

Memory

6.4MiB live, 124.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 base)
cost-diff	0	(/.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	0	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64))
cost-diff	0	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))
cost-diff	0	(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
cost-diff	0	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64)))
cost-diff	0	(log.f64 base)
cost-diff	0	(/.f64 (log.f64 base) (atan2.f64 im re))
cost-diff	0	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))
cost-diff	0	(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))
cost-diff	0	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
cost-diff	13824	(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	176
0	39	170
1	51	164
2	70	164
3	147	164
4	280	164
5	862	164
6	1264	164
7	1368	164
8	1482	164
9	1648	164
10	1862	164
11	2144	164
12	2491	164
13	2908	164
14	3397	164
15	3638	164
16	3818	164
17	3897	164
18	3981	164
19	4064	164
20	4668	164
21	7690	164
0	8018	164

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64)))
#s(literal 1 binary64)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
#s(literal -2 binary64)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
#s(literal -1/4 binary64)
#s(literal 4 binary64)

Outputs
(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64)))
#s(literal 1 binary64)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
#s(literal -2 binary64)
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
base
(atan2.f64 im re)
im
re
#s(literal -1/4 binary64)
#s(literal 4 binary64)

localize170.0ms (1.9%)

Memory

-0.6MiB live, 191.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 base)
accuracy	0.125	(/.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.531479101663913	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
accuracy	2.438623526767504	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64))
accuracy	0.12109375	(/.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.28714755861065205	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64))
accuracy	0.491753681626671	(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64)))
accuracy	1.9274030311844434	(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
accuracy	0	(log.f64 base)
accuracy	0.125	(/.f64 (log.f64 base) (atan2.f64 im re))
accuracy	0.21779252930532603	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))
accuracy	3.2401216435371993	(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)))
accuracy	0	(log.f64 base)
accuracy	0.053066259768442016	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
accuracy	0.1796875	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
accuracy	0.491753681626671	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
accuracy	0	(log.f64 base)
accuracy	0.12109375	(/.f64 (atan2.f64 im re) (log.f64 base))
accuracy	0.1796875	(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
accuracy	0.2566202857617186	(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))

Samples

86.0ms	142×	0	valid
64.0ms	114×	0	invalid

Compiler

Compiled 354 to 48 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-div: 46.0ms (59.2% of total)

ival-pow: 17.0ms (21.9% of total)

ival-log: 5.0ms (6.4% of total)

ival-mult: 3.0ms (3.9% of total)

ival-atan2: 3.0ms (3.9% of total)

ival-sqrt: 3.0ms (3.9% of total)

exact: 1.0ms (1.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series465.0ms (5.1%)

Memory

-1.2MiB live, 668.8MiB allocated

Counts

16 → 528

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) (patch (.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (patch (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) #<representation binary64>) () ())
#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())
#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (patch (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))) (patch (sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())
#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64)) (patch (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (patch (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (patch (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) (patch (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) (patch (.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) (patch (.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) (patch (.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) (patch (.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (pow (log base) 2)) (taylor 0 base) (#s(alt (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (patch (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (pow (log base) 2)) (taylor 0 base) (#s(alt (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (patch (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (pow (log base) 2)) (taylor 0 base) (#s(alt (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (patch (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (pow (log base) 2)) (taylor 0 base) (#s(alt (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (patch (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (patch (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (patch (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (patch (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (patch (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))) (patch (sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))) (patch (sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))) (patch (sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor 0 base) (#s(alt (sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))) (patch (sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow (atan2 im re) 2) (pow (log base) 2)) (taylor 0 base) (#s(alt (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (atan2 im re) 2) (pow (log base) 2)) (taylor 0 base) (#s(alt (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (atan2 im re) 2) (pow (log base) 2)) (taylor 0 base) (#s(alt (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (atan2 im re) 2) (pow (log base) 2)) (taylor 0 base) (#s(alt (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor 0 base) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
#s(alt (log base) (taylor 0 base) (#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())) ())
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#s(alt (pow (/ (* 1 (atan2 im re)) (log base)) 1/4) (taylor inf im) (#s(alt (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) (patch (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) (patch (.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) (patch (.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) (patch (.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) (patch (.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (pow (log base) 2)) (taylor -inf im) (#s(alt (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (patch (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (pow (log base) 2)) (taylor -inf im) (#s(alt (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (patch (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (pow (log base) 2)) (taylor -inf im) (#s(alt (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (patch (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (pow (log base) 2)) (taylor -inf im) (#s(alt (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (patch (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 base)) (patch (/.f64 (atan2.f64 im re) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (patch (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (patch (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (patch (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (patch (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 im re)) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 im re)) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 im re)) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 im re)) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))) (patch (sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))) (patch (sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))) (patch (sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))) (patch (sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow (atan2 im re) 2) (pow (log base) 2)) (taylor -inf im) (#s(alt (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (atan2 im re) 2) (pow (log base) 2)) (taylor -inf im) (#s(alt (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (atan2 im re) 2) (pow (log base) 2)) (taylor -inf im) (#s(alt (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (atan2 im re) 2) (pow (log base) 2)) (taylor -inf im) (#s(alt (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor -inf im) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor -inf im) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor -inf im) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor -inf im) (#s(alt (/.f64 (log.f64 base) (atan2.f64 im re)) (patch (/.f64 (log.f64 base) (atan2.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor -inf im) (#s(alt (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64)) (patch (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor -inf im) (#s(alt (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64)) (patch (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor -inf im) (#s(alt (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64)) (patch (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (log base) (atan2 im re)) (taylor -inf im) (#s(alt (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64)) (patch (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (atan2 im re) (log base))) (taylor -inf im) (#s(alt (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (patch (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (atan2 im re) (log base))) (taylor -inf im) (#s(alt (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (patch (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (atan2 im re) (log base))) (taylor -inf im) (#s(alt (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (patch (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ (atan2 im re) (log base))) (taylor -inf im) (#s(alt (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (patch (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (patch (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (patch (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (patch (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log base)) (taylor -inf im) (#s(alt (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (patch (pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (/ (* 1 (atan2 im re)) (log base)) 1/4) (taylor -inf im) (#s(alt (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) (patch (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (/ (* 1 (atan2 im re)) (log base)) 1/4) (taylor -inf im) (#s(alt (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) (patch (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (/ (* 1 (atan2 im re)) (log base)) 1/4) (taylor -inf im) (#s(alt (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) (patch (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (/ (* 1 (atan2 im re)) (log base)) 1/4) (taylor -inf im) (#s(alt (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) (patch (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
178.0ms	re	@	inf	((* (/ (/ (atan2 im re) (log base)) (log base)) (log base)) (/ (/ (atan2 im re) (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)) (/ 1 (atan2 im re)) (sqrt (pow (/ (log base) (atan2 im re)) -2)) (pow (/ (log base) (atan2 im re)) -2) (/ (log base) (atan2 im re)) (log base) (/ 1 (pow (sqrt (/ (atan2 im re) (log base))) -2)) (pow (sqrt (/ (atan2 im re) (log base))) -2) (sqrt (/ (atan2 im re) (log base))) (pow (pow (/ (log base) (atan2 im re)) -1/4) 4) (pow (/ (log base) (atan2 im re)) -1/4))
60.0ms	base	@	0	((* (/ (/ (atan2 im re) (log base)) (log base)) (log base)) (/ (/ (atan2 im re) (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)) (/ 1 (atan2 im re)) (sqrt (pow (/ (log base) (atan2 im re)) -2)) (pow (/ (log base) (atan2 im re)) -2) (/ (log base) (atan2 im re)) (log base) (/ 1 (pow (sqrt (/ (atan2 im re) (log base))) -2)) (pow (sqrt (/ (atan2 im re) (log base))) -2) (sqrt (/ (atan2 im re) (log base))) (pow (pow (/ (log base) (atan2 im re)) -1/4) 4) (pow (/ (log base) (atan2 im re)) -1/4))
39.0ms	im	@	-inf	((* (/ (/ (atan2 im re) (log base)) (log base)) (log base)) (/ (/ (atan2 im re) (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)) (/ 1 (atan2 im re)) (sqrt (pow (/ (log base) (atan2 im re)) -2)) (pow (/ (log base) (atan2 im re)) -2) (/ (log base) (atan2 im re)) (log base) (/ 1 (pow (sqrt (/ (atan2 im re) (log base))) -2)) (pow (sqrt (/ (atan2 im re) (log base))) -2) (sqrt (/ (atan2 im re) (log base))) (pow (pow (/ (log base) (atan2 im re)) -1/4) 4) (pow (/ (log base) (atan2 im re)) -1/4))
38.0ms	re	@	-inf	((* (/ (/ (atan2 im re) (log base)) (log base)) (log base)) (/ (/ (atan2 im re) (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)) (/ 1 (atan2 im re)) (sqrt (pow (/ (log base) (atan2 im re)) -2)) (pow (/ (log base) (atan2 im re)) -2) (/ (log base) (atan2 im re)) (log base) (/ 1 (pow (sqrt (/ (atan2 im re) (log base))) -2)) (pow (sqrt (/ (atan2 im re) (log base))) -2) (sqrt (/ (atan2 im re) (log base))) (pow (pow (/ (log base) (atan2 im re)) -1/4) 4) (pow (/ (log base) (atan2 im re)) -1/4))
35.0ms	base	@	-inf	((* (/ (/ (atan2 im re) (log base)) (log base)) (log base)) (/ (/ (atan2 im re) (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)) (/ 1 (atan2 im re)) (sqrt (pow (/ (log base) (atan2 im re)) -2)) (pow (/ (log base) (atan2 im re)) -2) (/ (log base) (atan2 im re)) (log base) (/ 1 (pow (sqrt (/ (atan2 im re) (log base))) -2)) (pow (sqrt (/ (atan2 im re) (log base))) -2) (sqrt (/ (atan2 im re) (log base))) (pow (pow (/ (log base) (atan2 im re)) -1/4) 4) (pow (/ (log base) (atan2 im re)) -1/4))

simplify215.0ms (2.4%)

Memory

-24.2MiB live, 98.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	3700
1	74	3644
2	162	3644
3	487	3644
4	1486	3644
5	2057	3644
6	3095	3644
7	3936	3644
8	4291	3644
9	4367	3644
10	4369	3644
11	4369	3644
12	4467	3644
13	4495	3644
14	4495	3644
15	4503	3644
0	4503	3644

Stop Event

1×	iter limit
1×	saturated

Counts

528 → 528

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) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log 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))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (pow (atan2 im re) 2) (pow (log base) 2))
(/ (pow (atan2 im re) 2) (pow (log base) 2))
(/ (pow (atan2 im re) 2) (pow (log base) 2))
(/ (pow (atan2 im re) 2) (pow (log base) 2))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
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(log base)
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(/ (atan2 im re) (log base))
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(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
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(pow (/ (* 1 (atan2 im re)) (log base)) 1/4)
(pow (/ (* 1 (atan2 im re)) (log base)) 1/4)
(* -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) (pow (log (/ 1 base)) 2))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (pow (atan2 im re) 2) (pow (log (/ 1 base)) 2))
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(/ (pow (atan2 im re) 2) (pow (log (/ 1 base)) 2))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
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(* -1 (/ (log (/ 1 base)) (atan2 im re)))
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(* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))
(* -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))))
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(pow (/ (* -1 (atan2 im re)) (log (/ 1 base))) 1/4)
(pow (/ (* -1 (atan2 im re)) (log (/ 1 base))) 1/4)
(pow (/ (* -1 (atan2 im re)) (log (/ 1 base))) 1/4)
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(/ (pow (atan2 im re) 2) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ (pow (atan2 im re) 2) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
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(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
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(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
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(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
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(/ (log base) (atan2 im re))
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(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(pow (/ (* 1 (atan2 im re)) (log base)) 1/4)
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(/ (atan2 im re) (log base))
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(/ (atan2 im re) (pow (log base) 2))
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(atan2 im re)
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(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(sqrt (/ (atan2 im re) (log base)))
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(atan2 im re)
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(pow (/ (* 1 (atan2 im re)) (log base)) 1/4)
(/ (atan2 im re) (log base))
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(/ (atan2 im re) (pow (log base) 2))
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(/ (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))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(pow (/ (* 1 (atan2 im re)) (log base)) 1/4)
(pow (/ (* 1 (atan2 im re)) (log base)) 1/4)
(pow (/ (* 1 (atan2 im re)) (log base)) 1/4)
(pow (/ (* 1 (atan2 im re)) (log base)) 1/4)

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) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (pow (atan2 im re) 2) (pow (log base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (pow (atan2 im re) 2) (pow (log base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (pow (atan2 im re) 2) (pow (log base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (pow (atan2 im re) 2) (pow (log base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(log base)
(log.f64 base)
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(sqrt (/ (atan2 im re) (log base)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow (/ (* 1 (atan2 im re)) (log base)) 1/4)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64))
(pow (/ (* 1 (atan2 im re)) (log base)) 1/4)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64))
(pow (/ (* 1 (atan2 im re)) (log base)) 1/4)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64))
(pow (/ (* 1 (atan2 im re)) (log base)) 1/4)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64))
(* -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) (pow (log (/ 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (pow (atan2 im re) 2) (pow (log (/ 1 base)) 2))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (pow (atan2 im re) 2) (pow (log (/ 1 base)) 2))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (pow (atan2 im re) 2) (pow (log (/ 1 base)) 2))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (pow (atan2 im re) 2) (pow (log (/ 1 base)) 2))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow (/ (* -1 (atan2 im re)) (log (/ 1 base))) 1/4)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64))
(pow (/ (* -1 (atan2 im re)) (log (/ 1 base))) 1/4)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64))
(pow (/ (* -1 (atan2 im re)) (log (/ 1 base))) 1/4)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64))
(pow (/ (* -1 (atan2 im re)) (log (/ 1 base))) 1/4)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64))
(/ (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) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (atan2.f64 im re) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/ (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 (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(/ (pow (atan2 im re) 2) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(/ (pow (atan2 im re) 2) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(/ (pow (atan2 im re) 2) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (atan2.f64 im re))
(+ (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 -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))))
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(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
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(sqrt (/ (atan2 im re) (log base)))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/ (pow (atan2 im re) 2) (pow (log base) 2))
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(/ (pow (atan2 im re) 2) (pow (log base) 2))
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(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(sqrt (/ (atan2 im re) (log base)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(pow (/ (* 1 (atan2 im re)) (log base)) 1/4)
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(pow (/ (* 1 (atan2 im re)) (log base)) 1/4)
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(pow (/ (* 1 (atan2 im re)) (log base)) 1/4)
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (pow (log base) 2))
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(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2 im re)
(atan2.f64 im re)
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(atan2 im re)
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (log.f64 base) (atan2.f64 im re))
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(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
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(/ (pow (atan2 im re) 2) (pow (log base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (pow (atan2 im re) 2) (pow (log base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (pow (atan2 im re) 2) (pow (log base) 2))
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(/ (pow (atan2 im re) 2) (pow (log base) 2))
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(/ (log base) (atan2 im re))
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(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
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(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(sqrt (/ (atan2 im re) (log base)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow (/ (* 1 (atan2 im re)) (log base)) 1/4)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64))
(pow (/ (* 1 (atan2 im re)) (log base)) 1/4)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64))
(pow (/ (* 1 (atan2 im re)) (log base)) 1/4)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64))
(pow (/ (* 1 (atan2 im re)) (log base)) 1/4)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #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) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
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(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (pow (log base) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
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(atan2 im re)
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(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (log base) (atan2 im re))
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(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ (pow (atan2 im re) 2) (pow (log base) 2))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
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(/.f64 (log.f64 base) (atan2.f64 im re))
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(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/ (log base) (atan2 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(sqrt (/ (atan2 im re) (log base)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/ (atan2 im re) (log base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(pow (/ (* 1 (atan2 im re)) (log base)) 1/4)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64))
(pow (/ (* 1 (atan2 im re)) (log base)) 1/4)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64))
(pow (/ (* 1 (atan2 im re)) (log base)) 1/4)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64))
(pow (/ (* 1 (atan2 im re)) (log base)) 1/4)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/4 binary64))

rewrite220.0ms (2.4%)

Memory

9.0MiB live, 242.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	123
0	39	96
1	123	95
2	643	95
3	4394	95
0	8293	95

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

16 → 1 837

Calls

Call 1

Inputs
(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 base)
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64)))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64))

Outputs
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eval549.0ms (6%)

Memory: 26.8MiB live, 713.9MiB allocated
Compiler: Compiled 48 193 to 5 011 computations (89.6% saved)

prune112.0ms (1.2%)

Memory

-34.4MiB live, 275.1MiB allocated

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	3 306	6	3 312
Fresh	5	10	15
Picked	2	3	5
Done	0	5	5
Total	3 313	24	3 337

Accuracy

100.0%

Counts

3 337 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.6%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 4 binary64)) #s(literal -1/4 binary64))
	57.2%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/8 binary64)) #s(literal 8 binary64))
	54.4%	(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64))
	58.1%	(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 4 binary64))
	85.8%	(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
	47.1%	(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base))
	49.7%	(/.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	50.0%	(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
✓	99.5%	(/.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))))
✓	99.6%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	50.0%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	99.0%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	98.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
✓	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	98.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
	99.2%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
✓	99.4%	(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
✓	99.4%	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	54.3%	(.f64 #s(literal -1 binary64) (.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
✓	54.6%	(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)))
	53.6%	(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 4 binary64)))
	54.6%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))))

Compiler

Compiled 829 to 368 computations (55.6% saved)

regimes101.0ms (1.1%)

Memory

0.1MiB live, 75.7MiB allocated

Accuracy

Total -63.7b remaining (-24353.7%)

Threshold costs -63.7b (-24353.7%)

Counts

50 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
(.f64 #s(literal -1 binary64) (.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -2 binary64)))
(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 base))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 4 binary64)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) #s(literal 4 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -2 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/8 binary64)) #s(literal 8 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 4 binary64)) #s(literal -1/4 binary64))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (exp.f64 (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))) #s(literal -1 binary64)))
(/.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
(/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.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 (log.f64 base) (atan2.f64 im re)))
(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))
(.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 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))

Calls

5 calls:

44.0ms	im
17.0ms	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
13.0ms	base
13.0ms	(log.f64 base)
13.0ms	re

Results

Accuracy	Segments	Branch
99.6%	1	`re`
99.6%	1	`im`
99.6%	1	`base`
99.6%	1	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
99.6%	1	`(log.f64 base)`

Compiler

Compiled 33 to 31 computations (6.1% saved)

simplify21.0ms (0.2%)

Memory

24.1MiB live, 24.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))

soundness193.0ms (2.1%)

Memory

-34.5MiB live, 44.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	75
0	34	39
1	110	37
2	725	32
3	7038	32
0	8481	27

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 34 to 24 computations (29.4% saved)

preprocess50.0ms (0.5%)

Memory: 3.9MiB live, 40.8MiB allocated
Compiler: Compiled 68 to 48 computations (29.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze133.0ms (1.5%)

sample1.9s (21.2%)

explain294.0ms (3.2%)

preprocess221.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify183.0ms (2%)

localize71.0ms (0.8%)

series122.0ms (1.3%)

simplify193.0ms (2.1%)

rewrite191.0ms (2.1%)

eval481.0ms (5.3%)

prune64.0ms (0.7%)

simplify323.0ms (3.6%)

localize83.0ms (0.9%)

series326.0ms (3.6%)

simplify65.0ms (0.7%)

rewrite176.0ms (1.9%)

eval385.0ms (4.2%)

prune167.0ms (1.8%)

simplify25.0ms (0.3%)

localize86.0ms (1%)

series295.0ms (3.2%)

simplify73.0ms (0.8%)

rewrite147.0ms (1.6%)

eval517.0ms (5.7%)

prune211.0ms (2.3%)

simplify232.0ms (2.6%)

localize170.0ms (1.9%)

series465.0ms (5.1%)

simplify215.0ms (2.4%)

rewrite220.0ms (2.4%)

eval549.0ms (6%)

prune112.0ms (1.2%)

regimes101.0ms (1.1%)

simplify21.0ms (0.2%)

soundness193.0ms (2.1%)

preprocess50.0ms (0.5%)

end0.0ms (0%)

Profiling